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Ivan
| | Posted on Sunday, April 02, 2006 - 12:29 pm: | |
IVAN'S 'GREAT' WORKS, FICTION ET AL - These are original manuscripts, unedited. I tried Googling my titles but they don't always come up, so bumped them up from the now archived "New PeoplesBook Forums" (2005). Here are the original works, six novels, one short story. Please click on titles to access original manuscripts. - Ivan Alexander, author: humancafe@aol.com Aegytpus and Queen Tiye, a love story of 18th dynasty Egypt The story of an architect, Agepytus, in Pharaoh Amenhotep III's court and his queen Tiye, who falls in love with him. They had known each other as friends since childhood, and later as lovers through their whole lives, though the High Priest Aye used their love and frustrated it for his own selfish reasons, in his schemes to ultimately become Pharaoh. The story takes us into that fabulous world of ancient Egypt c.3400 years ago, when in full glory Amenhotep III's reign of grand temple and empire building was the world then, still evident in Egypt's great wonders today. In the story the secret of the pyramids is unlocked. Scriptorium, they wrote the Book of Kells On the Isle of Iona was an early Christian monastery founded by Saint Columba where was penned the beautifully illuminated Book of Kells, as it is known today. The abbot Father Cellarch commissioned Aeden and fellow monks to illustrate this magnificent book for their sister abbey in Durrow, Ireland. During the time of the first Viking invasions in the 9th century there were also kings who valued Christianity and helped the abbeys survive. One such Viking king was Blachmach, whose beautiful daugher Osla was left at Iona for safekeeping from the raiding sea wolves. Osla and Aedan develop a fine friendship at the abbey, while work is being done on the Four Gospels. During these attacks the Book of John is completed in a setting of stress and love, and accusations of murder, to bring our two star crossed lovers closer together, to save the abbey and found a new kingdom. Dream of the Worlds, Earth coming out of galactic quarantine, Book 1 of a trilogy This is the first book of a trilogy about Earth's contact, soon to be realized, with a sister world of Ka'andana, where their destiny is intertwined with ours. Paul is the first 'scout' to experience life on our world, as he is to follow in the path of the Dream, a civilizational belief system on his world, which brings him in contact with Sanaa, a beautiful Ethiopian woman with whom he falls in love. They must flee from those who would capture them, which directs them into India and a Himalayan monastery, where Sanaa is captured and taken by government agents. Paul is distressed but finds an inner strength of peace while in the presence of Mananam, a blind monk at the monastery, and sets out to save Sanaa, who is taken to Paris. He finds her, but is now in danger of being medically 'examined' because they know he is from another world. The Dream unfolds in mysterious ways as they 'merge' together two worlds. The screen play adapted from this story can be viewed here: Dreamer of Dreams Power of Maya, from a distant world Kandana, Book 2 Sanaa is taken to Ka'andana where she encounters a very advanced culture and technology. There she gives birth to her daughter, Maya, who is precocious in the ways of her new world, and together they become immersed in the subtle subterfuge of obstacles presented by Morz, a disgraced star ship commander. Maya and Sanaa escape to the renegade cave dwelling people of the Sanctuary who eschew modern technology, and the Dream, to right the wrongs of their world, and become entangled in an upcoming androids war. With the help of Seth, another star ship commander, who becomes Maya's adoptive father, they disentangle machinations by Morz, which involves also future Earth, to bring back peace to Ka'andana. A Promise in the Amazon, search and rescue of fallen ship. Book 3 Maya's father, Paul, is lost and captured in the Amazon when his small scout ship goes down, so Maya who is now older, and her mother Sanaa set out to rescue him. With the help of another space traveling race, the Ebh'ans, and Earth adventurers Bates, an American, and Josie an Amazon Indian, and a small boy Carlos, they find Paul in a prison labor gang in Amazonia felling trees, with whom they all escape. But the return is complicated by sensitive equipment, and perhaps alien bodies, hidden at a government installation in norther New Mexico, where they must go to retrieve what they can. With the help of an Apache, Roy, they find what they are looking for under a mesa on the Apache reservation. Maya and Carlos become friends and make a promise in the Amazon before she returns to her world. [I'm working on a fourth story, continuing where Dream of the Worlds, Book 3 left off, but it's slow, characters won't 'talk' to me! .. at least not yet] Giammai! Black Messiah, at a Nazi labor camp, death and survival This is a short novel about a black man imprisoned in a Nazi labor camp and his little notebook, which he kept hidden under his barracks mattress and in which he recorded assiduously the terrible trials of camp life. It is written in a post-modern style with the voice of Olgha, also a camp prisoner, and Giammai, who calls her Kostia, in their dual voices of pain and fleeting hopes, even love, of their knowing each other and the other prisoners. As they strive to survive hunger and punishments, and ever present death, we glimpse through their eyes this terrible travesty against innocent human beings, especially when they tried to save the children from death. Ipi of the Desert, a Kumeyaay boy's journey into manhood (short story) Ipi is a young Kumeyaay Indian of the southern California desert, whose people summered in the Laguna mountains but wintered in the Anza-Borrego desert until about the time of the Spanish Missions, when their population was drastically reduced by disease. This is Ipi's story of coming into manhood, observing the traditions of his people and especially befriended by the shaman leader of the clan, Tapawaye. Their encounter with the Mission changed Ipi's life. * * * * * * A philosophy work: Habeas Mentem, now out of print, first publised by P.E. Randall publisher, 1986: "Man in All that Is". This is a three part philosophical development of the idea of 'interrelationship' and how this seminal idea of structure of the universe applies to our human identity, with ramifications for our future development as a fully conscious human species who 'have the mind'. The second and third parts of the book deal with spiritual values of a universe that is 'conscious' of itself. Enjoy! Ivan |
   
IVAN
| | Posted on Sunday, April 02, 2006 - 09:27 pm: | |
VARIABLE G? (Please note on some system the "lamda" as a greek letter will not show up, so will come out as "(l)" instead, to my regret.) A VARIABLE MASS PER VARIALBE G HYPOTHESIS, AS A MODEL FOR THE ANOMALOUS ACCELERATION OF PIONEERS 10 AND 11 -- per the Equivalence Principle and the Axiomatic Equation. By Ivan D. Alexander, California, USA Author's note: [Please see "Anisotropic kg/kg mass" (posted Mar. 2, 2008) for explanation why kg'/g must be adjusted on the right side to balance the Axiomatic Equation, which necessitates a 'variable' kilograms per variable-G, in order to conserve Equivalence. The Axiomatic Equation must read:
E' = hc/ (l)(proton m) = [1(kg'/kg) - (g')pi^2] c^2 to balance both sides.] Abstract: The Pioneers Anomaly as measured shows a constant rate of acceleration towards the Sun at –a = ~8E-8 cm/s^2. This can be interpreted, in reverse order, as a gravitational phenomenon, whereby Newton’s ‘constant’ G is shown to grow at a steady rate over distance to cause this anomalous acceleration; which shows ‘as if’ G is growing at approximately 1 G per AU. This same result can be achieved in a modified Quantum equation, here called the Axiomatic Equation©, where Newton’s G grows in inverse proportion to solar energy received at a distance from the Sun, at about 1 G per AU. The resulting inertial mass acceleration towards the solar system’s largest mass, the Sun, is likewise shown per the Equivalence Principle to approximate the Pioneers Anomaly. Introduction: The Pioneers Anomaly, measured to be at a constant acceleration of –a = ~8E-8 cm/s^2, as per Anderson et al. [1], can be worked in reverse order to show it can imply, via the Equivalence Principle [12], that the inertial mass of the Pioneer probes is gaining ‘gravitational mass’ in the same proportion as the change in G. This may be achieved by calculation for a hypothetical delta G (over distance) needed to satisfy this condition. The methodology assumed is that, per Equivalence, the mass of the probes in an increasing G would be adjusted proportionally, which (in reverse order) translates as the square of acceleration (over distance), delta –a = (~8E-6 m/s^2)^2, to yield numerically delta –a = ~6.4E-11 m^2/s^4 (meters per kilogram seconds squared) m kg^-1 s^2 - as a function of G, which is within range of the implied delta G for our solar system of 1 G per AU, vs. G = ~6.67E-11 m^3 kg^-1 s^-2 (Nm^2 kg^-2) at 1 AU. (In fact, -a=8.5E-8 cm/s^2 works closer to the real value of variable G of 7.24E-11 per 1 AU.) Separately calculations were made using the Quantum equation posited by Louis de Broglie, E = hf = mc^2, and modified to incorporate a proton gravitational constant, per the Axiomatic Equation (derived in Appendix) [10]. This equation works out as: E = hc/ (l)(proton m) = [(m) c^2] = ~(1-g) c^2 (where m = 1 kg/kg) in abridged form. When applied to solar energy per planetary orbit, and converted to Newton’s G, it will be shown to yield a result approximating the noted anomalous Pioneers acceleration. The resulting delta G per AU, as shown below, works out to be approximately = 7.239E-11 m^3 kg^-1 s^-2 per AU. Dividing this delta G by Earth’s known G = 6.67E-11 m^3 kg^-1 s^-2, we arrive at a ratio of 1.085, which divided by the distance of 1 AU (in meters, 1.5E+11 m), gives the rate of change per meter: delta G = 0.723E-11 per meter. This change further translates into delta G = 7.23E-12 per meter distance. To convert this delta G into acceleration, one must take its square root, per Equivalence of mass to the gravitational ‘constant’, which taking the square root is: delta G = -a = 8.5E-6 m/s^2 (per meter distance, not E-10 m/s^2 for acceleration). To take equivalence in centimeters, we get: -a = 8.5E-8 cm/s^2 This delta G driven value is slightly greater than the reported Pioneers Anomaly of –a = 8E-8 cm/s^2, yet within range. (Later measurements yielded Pioneer Anomaly -a = 8.6E-8 to 8.74E-8 cm/s^2, slightly above). Other Energy factors may account for why these two values are not exact, which may be due to onboard energy radiation sources. A natural implication results from this hypothesis also pertains to distant cosmic light redshift, and the implications to the Hubble constant (space expansion postulate), with implications for modern cosmology. 1.0: A Variable G cum Variable Mass Hypothesis, per Equivalence Principle. 1.1: Illustration of Hypothetical Variable Mass in a Variable G. Conceptually, if G were greater, then its mass equivalent per Equivalence would also be greater, which means if each molecule gravitationally draws a greater G, its gravitational-inertial-mass would be greater. This can be understood as requiring fewer molecules to achieve the same mass as in a lower G. As illustration, let us suppose that it takes x number of molecules to compose 1 kilogram of mass on Earth. But, by assuming G and mass equivalence, in taking these same molecules in a greater G’ region, it would take G/G’ times x to arrive at the same 1 kilogram mass. This would mean that in a higher G region, 1 kilogram is still the same kilogram as in Earth’s 1 AU gravitational G, but per greater G there are fewer molecules composing this same mass in situ. Because the molecular mass is now greater, per greater G per molecule, its interactive gravitational mass will be acted upon gravitationally as if its inertial-mass were ‘heavier’, or conversely its gravitational force interaction were greater gravitationally; it would be as if it were the square root of G. This can be translated into the Pioneers Anomaly that, given a hypothetically higher G in the regions of outer solar system and beyond, the spacecraft acts ‘as if’ its mass were growing in square proportion to the local G; or conversely, because it is the same mass as having left from Earth, the gravitational attraction from the Sun acts ‘as if’ the greater mass in greater G is an acceleration that is the square root of its delta G. The mass of the Pioneers crafts never changed, it is still the same number of molecules as it had at the gantry, but now as it travels outward from the Sun, the mass translates into its hypothetically greater gravitational-inertial-mass. Consequently, in a greater G region, its gravitational-inertial-mass is drawn back by the Sun’s gravity as if it were gravitationally ‘heavier’ than when it left. 1.2: Translating this Variable Mass cum Variable G Equivalence into the Pioneers Anomaly. Prince Louis de Broglie took the liberty to match Planck’s E = hf with Einstein’s E = mc^2, also called the de Broglie equation. Planck’s can be further broken out as E = hc/(l) (proton m), which matched with de Broglies’s becomes E = hc/(l)(proton m) = mc^2. A hybridization of this equation can also be expressed, per the Axiomatic Equation (see Appendix below, as how derived) to become: E = hc/(l)(proton m) = (m-g)c^2, where m = 1 kg/kg (always), and g= proton-to-proton gravitational ‘constant’, here known as g = ~5.9E-39 (dimensionless, though this value per the Axiomatic becomes Volts, to balance the SI units; see Appendix). As will be shown, this proton gravitational constant is in fact a variable, per the radiant electromagnetic energy received, as a function of E. 1.3: The Axiomatic Equation Defined as Energy Received from the Sun: The term "Energy" here is understood as a dual component of both radiant electromagnetic energy and planetary orbital kinetic energy, as they relate to our Sun, for the planets of our solar system. This is defined as: E = solar irradiance x 1/2 Rv^2, where E = total energy received from the Sun (Solar irradiation is in ‘Watts per meter squared’) 1/2 Rv^2 is KE = 1/2 mv^2, where m = 1 (kg/kg)** This E is then matched against the Axiomatic Equations (per Appendix) which is: E' = hc/ l)(proton m) = f(E'/E) [1 - f(g')pi^2] c^2 (Please note the f(E’/E) is a function to balance both sides of the equation E) The exercise will be to show, using the Newton G arrived, how E translates into G for the orbital regions of each planet. Calculations are approximate only, to illustrate the principle. Source of data is the NASA Planetary Fact Sheet [9]) 2.0: Calculations showing the Energy to proton mass and Newton’s G relationships: 2.1: Earth as sample, to arrive at E = 90 petajoules: We know per Einstein’s famous equation: E = mc^2 = 9E+16 Joules, or 90 petajoules. This same value can be arrived at as a ‘template’ for Earth’s solar Energy: Solar irradiance: 1367.6 W/m^2 Mean distance from Sun: 149.6E+9 meters Mean orbital velocity: v = 29.78 km/s (1367.6) (149.6E+9) = 204592.96E+9 = 2.046E+14 W/m = solar radiance energy, and KE = (1/2) (1) (29.78)^2 = (1/2)(1)(886.85) = 443.4 m^2.kg.s^-2 (Joules) = gravitationally induced kinetic energy: KE * W/m = ( 443.4 J) (2.046E+14 W/m) = 9.07e16 Joules = Earth's total orbital Energy. (Please note m = 1 kg/kg is a net function of planet mass already in orbital motion.) Therefore, Earth’s solar Energy resulting value is: E = ~9.07E+16 J (Please note Earth’s Energy reads slightly higher by ~0.07E+16 J, in the same way Earth’s Newton G reads ~0.67 G lower than per values derived from the Energy equation; this may be a function of Earth’s interior generated Energy. Though beyond the scope of this paper, were Earth energy ‘neutral’ these values would be affected, see Addendum [b] below) 2.2: Energy calculated for all the planets of our solar system: Now, let us use this same methodology for calculating Energy for all the other planets, using NASA data: MERCURY: 60.55E+16 J VENUS: 17.33E+16 J EARTH: 9.0E+16 J MARS: 3.66E+16 J JUPITER: 0.335E+16 J SATURN: 0.1004E+16J URANUS: 0.0247E+16J NEPTUNE: 0.01E+16 J PLUTO: 0.006E+16 J The resulting Energy E' values if plotted on a chart show a parabolic upward steeply curved for the inner planets, and progressively lower and flatter for the outer planets, with an elbow for this curve about the level of Mars and the asteroid belt. It is immediately obvious that the inner planets receive a much greater level of solar irradiance than the distant planets, per this methodology, that this total Energy for each orbital has a parabolic relationship, where the energy levels for the outer planets declines on a curve [10]. 2.3: Using the Axiomatic Equation to solve for proton mass for each orbital region: We can calculate an intermediary function resulting from this Energy variance through the DeBroglie-Planck-Einstein equation: E = hc/ (l)(proton mass) = 90 petajoules, on Earth. In computing the proton mass for each Energy level, we get a variable that can be used to estimate Newton's G at each Energy E’. Assuming that Planck's constant h = 6.626E-34 m^2.kg.s^-2, and electromagnetic energy lambda, 1.322E-15 m (assuming no redshift within our solar system), with light constant c, 3E+8 m/s, we get: E = hc/ (l)(proton mass) E = 9.0E+16 J = (19.878E-26) / (1.322E-15)(proton mass), so that proton mass is: Proton m = 1.67E-27 kg Using the same methodology, we can compute proton mass equivalents for each of the planets Energy levels, where E' is on the left, and equivalent proton mass is on right: MERCURY: 60.55E+16 J, 2.48E-28 kg VENUS: 17.33E+16 J, 8.67E-28 kg EARTH: 9.0E+16 J, 1.67E-27 kg MARS: 3.66E+16 J, 3.86E-27 kg JUPITER: 0.335E+16 J, 4.49E-26 kg SATURN: 0.1004E+16J, 1.498E-25kg URANUS: 0.0247E+16J, 6.1E-25 kg NEPTUNE: 0.01E+16 J, 1.5E-24 kg PLUTO: 0.006eE+16 J, 2.58E-24 kg 2.4: Calculating for the Proton Gravitational Variable g': The above values for proton mass will now lend themselves to finding the proton gravitational constants equivalents: Again, taking our Axiomatic Equation: E' = hc/ l)(proton m) = f(E'/E) [1 - f(g')pi^2] c^2 We can now compute the f(g) proton-to-proton gravitational coupling constant for each E' of the planets. Using Earth's g = 5.9E-39 as a basis, we can find f(g') by applying F(g') = (proton m)' * g / (proton m), as per above. Using this equation as a direct proportional value for g relative to proton mass, the ratio of the planet's proton mass (proton m)' = g' to Earth's (proton m) = 5.9E-39, we get =f(g'). For example: Mars proton mass = 3.86E-27 kg, which times Earth's g = 5.9E-39 equals 22.78E-66, divided by Earth's proton mass =1.67E-27 equals f(g')= 1.36E-38 (greater than Earth's g). This methodology yields the following proton gravity g' constants: PLANET: total orbital Energy, Proton mass, Proton gravity constant g: MERCURY: 60.55E+16 J, 2.48E-28 kg, 8.76E-40 VENUS: 17.33E+16 J, 8.67E-28 kg, 3.06E-39 EARTH: 9.0E+16 J, 1.67E-27 kg, 5.9E-39 MARS: 3.66E+16 J, 3.86E-27 kg, 1.36E-38 JUPITER: 0.335E+16 J, 4.49E-26 kg, 1.586E-37 SATURN: 0.1004E+16J, 1.498E-25 kg, 5.29E-37 URANUS: 0.0247E+16J, 6.1E-25 kg, 2.153E-36 NEPTUNE: 0.01E+16 J, 1.5E-24 kg, 5.3E-36 PLUTO: 0.006E+16 J, 2.58E-24 kg, 9.11E-36 As can be seen from the above, the proton-to-proton gravitational coupling constant g' increases with distance from the Sun, and decrease towards the Sun, so the inverse relationship of Energy to proton gravitational constant is preserved. This can be further converted into Newton's G values via an equation, as per the conversion equation mentioned above. 2.5: Converting Proton Gravitational g' into Newton's G' constant: Using the conversion equation described in Appendix: G^2 * m = g c^2 pi^2, where g is the proton gravitational constant, and m =1, G^2 * 1 = (5.9E-39)(9E+16)(9.87) = 524.1E-23 = 52.41E-22, of which square root is: G = ~7.239E-11 Nm^2kg^-2 for Earth. (Note this is 0.57E-11 more than Newton's G = 6.67E-11 N, which may be a result of Earth generating it’s own Energy.) 2.6: PLANET: total orbital Energy, Proton mass, Proton gravity g', local Newton's G': MERCURY (0.39 AU): 60.55E+16 J, 2.48E-28 kg, 8.76E-40, ~02.79E-11 N VENUS (0.72 AU): 17.33E+16 J, 8.67E-28 kg, 3.06E-39, ~ 5.20E-11 N EARTH (1 AU): 9.0E+16 J, 1.67E-27 kg, 5.9E-39, ~7.24E-11 N (vs. 6.67E-11 N) MARS (1.52 AU): 3.66E+16 J, 3.86E-27 kg, 1.36E-38, ~10.96E-11 N JUPITER (5.2 AU): 0.335E+16 J, 4.49E-26 kg, 1.586E-37, ~ 38.6E-11 N SATURN (9.5 AU): 0.1004E+16J, 1.498E-25 kg, 5.29E-37, ~68.5E-11 N URANUS (19.2 AU): 0.0247E+16J, 6.1E-25 kg, 2.153E-36, ~138E-11 N NEPTUNE (30 AU): 0.01E+16 J, 1.5E-24 kg, 5.3E-36, ~217E-11 N PLUTO (39.5 AU): 0.006E+16 J, 2.58E-24 kg, 9.11E-36, ~284E-11 N When these Newton's G values are plotted on a chart on the X axis, with planetary distance from the Sun in AUs on the Y axis, it shows a linear growth at the rate of approximately: delta G = ~7.24E-11 per AU. 3.0: A Variable Newton's G 'constant' affecting Pioneers 10 and 11 Acceleration. 3.1: Acceleration of the Pioneers towards the Sun: The acceleration towards the Sun may therefore be calculated from the G variable, using the methodology described above. Taking the delta G divided by Earth's known G, and then divided by one AU in meters yields the expected acceleration pointed towards the Sun: Delta G = 7.239E-11 Nm^2kg^-2 (m^/s^2) Earth G = 6.67E-11 Nm^2kg^-2 One AU in meters = 150E+9 meters (7.239E-11 Nm^2kg^-2) / (6.67E-11) / (150E+9) = Pioneers acceleration anomaly hypothetical ‘mock’ acceleration = 1.085 / 150E+9 = 0.7235E-11 m/s^2, or in centimeters: ~delta-a = ~72.35E-16 cm/s^2 This is the value satisfying the calculations per the Axiomatic Equation and proton mass gravitational constant converted into Newton’s G, which here works out to be a variable, growing at a constant rate of approximately 1 G per AU. To convert this into the effective acceleration effect on any mass traveling on an escape trajectory out of he solar system will require this value be adjusted for the Equivalence Principle. This is achieved by hypothesizing that for each increase in G, there is a commensurate increase in mass, so that the gravitational-inertial-mass of the spaceprobe is increasing per increased G. The effect of this interaction between inertial mass in a greater G is equivalent to the square root of the above "delta-a" result, so we are left with the actual acceleration, whereby: -a = ~8.5E-8 cm/s^2 (vs. ~8E-8 cm/s^2 as measured) This is the value of acceleration towards the Sun the Pioneers should be experiencing, as calculated from the steady linear growth of G at a distance from the Sun, where it grows at 1 G per AU. The fact that this computed variable G acceleration is higher than the measured value leads one to consider the possibility that other energy is coming into play, to moderate the pure gravitational effect. For example, the Pioneer probes carry their own onboard energy source, and this energy may act as a moderating influence on the local G gravitational influence, if so. This would mean the onboard heat, acting as Energy shown per the Axiomatic Equation, renders the craft less ‘heavy’ in its region of space. Hence, though beyond the scope of this paper, the probes are accelerating towards the Sun at a slightly lower rate than a pure variable G physics would conclude. 3.2: Additional Confirmations sought for a Variable Newton's G: Physics cannot explain the acceleration cum gravitational anomaly revealed by the Pioneers. Upon first calculating the Axiomatic Equation’s variable mass and G results, as shown for delta G growing at a constant rate 7.24E-11 G’/G per AU (before learning of the Pioneers Anomaly), it was hoped to find this anomaly in distant comet trajectories in the outer solar system. Though there was no effective way to measure this at their aphelion distances from the Sun without attaching a probe to them, it was thought to lead to a better understanding what comets do once they leave the vicinity of near Earth, where they can be readily observed. The Pioneers anomalous behavior led to a more immediate test of this variable mass cum G hypothesis, though not a conclusive test. We know what comets do here in our region of G, but do we truly know how they behave far out at the Kuiper, where G may be substantially higher? It should be noted that though G' is multiples of Earth's G for the outer planets, it is still a very small value of 10x-11, so that it remains a very weak force, though measurable. It is not until we get to the Oort Cloud where G may be a much higher value ( viz. G' = ~3.5E-6 N), that we would see a markedly different trajectory behavior, where the spaceprobe’s original momentum may be insufficient to break out of the Sun’s gravitational pull. The author thinks that the Oort Cloud is a 'graveyard' depository for all cosmic objects with insufficient momentum to leave the solar system, which may ultimately be the fate of our Pioneers as they settle into a very large elliptical orbit around the Sun. To achieve an escape velocity from the Sun requires more than a constant momentum, if an increasing delta G is a factor, so that it would need constant acceleration to go beyond the Oort Cloud. Studies proposed to measure greater inertial mass for the outer solar system [2] [3], such as by the European Space Agency, are a necessary first step to confirm a variable gravity. As computed per the Axiomatic Equation, the variable G works out to be approximately delta G = ~7.23E-11 per AU, whereas the Pioneers Anomaly works out to be in the rate of delta G = ~6.4E-11 per AU; both contrasted with the known Newton’s G of 6.67E-11. This observation, that ‘pure’ gravitational change per AU is higher than Earth’s G at 1 AU, and that the Pioneers are responding to a delta G lower than Earth’s, may be the subject of future studies. It appears the Newton’s G is radiant heat dependent. Some concluding observations: If Newton’s G is not a universal constant but radiant heat energy dependent, then it should be something to search for. This test is difficult on Earth because, as one body, the Earth’s gravitational influence is uniform for the planet. The only exception to this may be the Allais Effect [13], where on the planet’s surface in total solar eclipse, the Sun’s rays are temporarily blocked by the Moon, and thus creates a slight gravitational aberration; where G should be slightly greater. However, it is the author’s opinion that if the Pioneers Anomaly leads to the hypothesized variable G, then there should be dedicated tests of this phenomenon away from Earth’s 1 G. It is further theorized, beyond the scope of this paper, there is a ‘cut-off’ level of G where it ceases to grow and flattens out in the dark cold regions of very great intergalactic space. This level ‘universal’ G, per author’s independent calculations, seems to flatten out at a value of about five orders of magnitude greater than Earth’s G. Coincidentally, per the Axiomatic Equation and gravity conversion formula, this also coincides with wavelength for Einstein’s Photoelectric Effect, in the range of 400-700 nanometers. Separately, this same value for G also works out for the Oort Cloud, at >50,000 AU, where this cut-off is at about G’ = >3.5E-6 . Coincidentally, it is also how distant cosmic light redshifts at approximately the Hubble constant, if all the hydrogen atoms of ‘empty’ space (and dust) were added together as a linear mass for the distance of 1z, d = ~129 million light years, per higher proton mass-cum- G in the cosmic reaches of intergalactic space. It should also be noted that per the Equivalence Principle, proton mass in Earth kilograms varies, as shown, but it remains the same mass in its own G, so the mass itself never changes, only how it becomes redefined per the variable G cum Energy region where it is measured. For example, at ~10 G of Saturn’s orbit, the proton mass is tenfold in its local region, per Equivalence, but is one hundred fold in terms of Earth kilograms. This further underscores the importance of m = 1 kg/kg when considering variable mass in a variable G universe. Though no systemic reasons had been found for the Pioneers Anomaly [4], there had been earlier attempts to understand anomalous gravitational factors for the rotational curves of galaxies by MOND [5] or Toivo Jaakkola [6], as well as ‘dark matter’[11]; they may prove as ‘ad hoc’ explanations, however. APPENDIX: HOW AXIOMATIC EQUATION WAS DERIVED. A.1: Hypothesis for a new definition of Mass: Conceptually any value of one can be derived from an integer multiplied by its inverse, from zero to infinity, where the product is always = 1. This principle can be applied to mass as having a value that is the product of Energy and its inverse 1/c^2, to equal one. In our region of space, this will always work out to be E =~ 9E+16 Joules, or 90 petajoules, when m = 1. Because we measure gravitational mass on Earth in kilograms, this m = 1 kg is assumed. But it need not be limited to Earth's gravity, if gravity is not a universal constant, since this value of m = 1 kg may be different elsewhere. By this above reasoning, mass is retained as m = 1, but the kilograms is held aside for now and (m) will be treated as kg/kg instead, so that the value of one, as a product of inverse numbers, is preserved. This means that when there is a total interaction between E and 1/c^2, mass as m =1 is assured. But if this interaction is less perfect, meaning the numerator E is less than the denominator 1/c^2, mass becomes less than one. The evident assumption that follows is that if mass is less than exactly one, there is a remainder that must be accounted for. Given the Planck quantum equation E = hc/ (l)(proton m), we can see immediately that for E = 90 petajoules, given h = 6.626E-34 m^2 kg s^-1, c = 3E+8 m s^-1, and (l) = 1.322E-15 m, the resulting proton mass = 1.67E-27 kg [7], which thus matches Einstein's E = mc^2. However, now if the real mass is less than one, to satisfy DeBroglie's equation, leaving all things equal, we must find another value on the right side to satisfy the equation. One way to do this is to say that mass, always equal to one, is modified by a gravitic value related to the left side, its proton mass, to account for a real value less than one. This can be met with subtracting from m = 1 a proton-to-proton gravitational constant value, let's call it 'g', which on Earth is computed as g = ~5.9E-39, dimensionless. The resulting value for mass becomes m = (1-g) approximately, as will be explained. Though this value is so small as to appear negligible, it will be shown to be very important when values for E are calculated for different planetary orbital Energies. A.2 : Calculating Mass as a function of Energy: Thus far, what results from the above is an equation that looks like this: E = hc/ (l)(proton m) = ~(m)c^2 = ~(1-g)c^2 This is only an approximation, as will be shown later, but it serves to illustrate a principle. It also illustrates that (1-g)c^2 is a value of Energy that must translate into: (1-g)c^2 = c^2 - gc^2, whereby E' = E - gc^2, where E' is a true Energy value, and E is the inverse of 1/c^2. This ideal inverse relationship can only exist in its pure form if there is no gravity, otherwise, E' must be less than E, per this equation, which means E is an ideal number and mathematically correct, though E' represents a real value. If m =1, which means g becomes zero, it drops out, then the equation no longer works, except as a pure expression of E = mc^2. But no matter how small the g value, as long as g holds above zero, this equation may be usable as an expression of the interaction of Energy and its inverse, with a g remainder. The result is that E' is slightly less than E, of necessity, and that this Energy E' is the value sought after to calculate the proton gravitational constant g. Once found, then it can be converted into Newton's G, as will be shown. For now, the operable equation is an approximation for E': E' = hc/ (l)(proton m) = ~(1-g)c^2, where g is the proton gravitational constant, as it is subtracted from a mathematical ideal m = 1. This leaves us with two mathematical ideals: E/c^2 = m, and m = 1, which may not represent what happens in the real world. If we take one hydrogen atom as m = < 1, what we have is a proton nucleus surrounded by electron energy shell. This total atom is a unity of one minus its gravitational constant, as measured here on Earth, per this equation, which is less than the mathematical ideal, but closer to what is observed. Proton mass is a gravity effect, where on the left side the quantum E = hf is an energy effect. On the right, we have an ideal mass unit minus its gravitational coupling constant, times energy c^2, which should result in the Energy that defines E = hf. Thus, greater or lesser values for Energy E' will result in lesser or greater values for proton mass on the left, since they are inversely proportional, while at the same time on the right we should get the same proportional values for g. What we had hitherto assumed to be ideally equal, E = hf = mc^2, is in fact not, since there is a small remainder force of proton g to be accounted for. Though extremely small, this g is a sought after value, because it will enable us to calculate the like Newton's G value from it. A.3 : Computing Newton's G 'constant' from the Proton gravitational coupling 'constant': Multiplying out the above equation, we can see that mass is defined as (1-g) times the energy value of c^2, so that of necessity the proton gravitational constant, as a function of energy, becomes gc^2. However, this will be found as incomplete without pi^2. So the gravitational function G should now become: f(G)m = gc^2 (m) pi^2, to yield an approximation of G = 6.67E-11 m^3 kg^-1 s^-2, which is: f(G)m = (5.9E-39)(9E+16 m^2 s^-2) (pi)^2, which equals = 53.1E-23 (9.87) = 52.41E-22, in taking the square root is: function of G = ~7.239E-11 , which is in SI Base: G^2 (1) = g (1) m^2 s^-2 pi^2, where kg/kg is implied for m =1, and g is expressed in "Volts meters squared/second", viz. W/A m^2/s, where for A = Nm^-1, then (m^2 kg s^-3) (m^2 s^1)/ (m kg s^-2) (m^-1) = m^3 m kg/kg s^-2, making it V*m^2/s =V^2= (m^4 s^-2)(kg/kg) and therefore: G^2 = [(m^4 s^-2)(kg/kg)(m^2 s^-2) pi^2], (SI base units for f(g) may also be either as (kg s^-1) when E is in Watts; or kg when E is in Joules), still unresolved)** so taking the square root: G = (52.41E-22 m^6 s^-4 kg/kg)^1/2 = ~7.239 E-11 m^3 kg/kg s^-2 (which is ~0.57E-11 more than Newton's G = ~6.67E-11 Nm^2 kg^-2), as only an approximation of Earth's G. (see Addendum [b] below) Although this is only an approximation of Earth's G, and g estimated in SI units of Volts remains unresolved, it is a workable equation for converting proton gravitational constant into Newton's G, with a relatively close result. Though it is not exact, there may be other reasons why Earth's gravity is slightly less. Earth may generate its own energy, which may effect planetary spin or interior heat, and its magnetic field, though for now these will not be pursued. There may also exist a relationship between Earth's energy received from the Sun and its total orbital Energy, modified by its internally generated energy, but not covered here. A.4 : Comments on the preceding development: At this stage, the equations are still disconnected from their applications, which will follow, where the Newton's G 'constant' will be shown to grow linearly from the Sun at a constant rate of delta G = 7.239E-11 Nm^2 kg^-2 per AU. The purpose of the development thus far is to show how the DeBroglie-Einstein equation [7] can be modified to accommodate a gravitational value g, which can convert into Newton's G, and prove a useful variable. The goal will be ultimately to show how this new value of G applies to the Pioneers Anomaly. For now, we still need to finalize the above listed equations into what will be a workable model. Why was this not addressed a hundred years earlier by physics in Einstein's famous E = mc^2? My guess is that the value difference between ideal mass and real mass was so small, viz. 10x^-39, that it seemed irrelevant, so was basically ignored, or perhaps simply not yet understood. A.5 : Writing the Axiomatic Equation: If we postulate that solar Energy may be different for planetary orbits, we must accommodate this with the two values of Energy, as E' computed for the planets, and E for Earth, (where here E equals 90 petajoule), we need a qualifier function of f(E'/E) to satisfy the computed values of E'. It is obvious that for Earth, where E' = E, this additional function f(E'/E) is irrelevant, since it equals one, but for other planets this will become instrumental in computing their relative proton mass and gravitational constants. So the equation, factoring in this postulate, should be: E' = hc/ (l)(proton m) = f(E'/E)~(1-g)c^2 = planetary total orbital Energy An additional qualifier, to make g exact , which will become more meaningful later is a function: Proton gravitational constant f(g' ) = (proton m)' * g / (proton m), where (proton m)' = proton mass for E', and (proton m) = proton mass for E. So the full Axiomatic Equation, factoring in pi in conversion to G, should read as: E' = hc/ (l)(proton m) = f(E'/E) [1 - f(g')pi^2] c^2 _Where: f(E'/E) [1 - f(g') pi^2] is the modified version of Mass on the right side of the DeBroglie-Einstein equation, for m = 1, as a postulated Axiom [8]. * *(E' = 1/2 Rv^2 x solar irradiance. This was derived in the following manner: GM = Rv^2 , per Newton's orbital equation GMm/ R = mv^2 , per above with m included 1/2 GMm/R = 1/2 mv^2 , per above with 1/2 included, where: 1/2 mv^2 = KE , kinetic energy removing the m, putting R back on right 1/2 GM = 1/2 Rv^2 as a variation of Newton's orbital, including 'solar irradiance' in Watts/m^2, the equation becomes as used in Atomic Mass paper above: E' = solar irradiance x 1/2 R(1)v^2 = J/s (or Joules, if m=1=kg/kg) where R is planet distance from Sun, v^2 is planet's velocity squared (both in kilometers), times solar irradiance.) _________________________________________________________ References: [1] "Study of the anomalous acceleration of Pioneer 10 and 11" by John D. Anderson, Philip A. Laing, Eunice L. Lau, Anthony S. Liu, Michael Martin Nieto, Slava G. Turyshev (2002). http://arxiv.org/abs/gr-qc/0104064 [2] "Pioneer anomaly put to the test", Sept. 2004, PhysicsWeb.com news, authors: Slava Turyshev, John Anderson, Michael Martin Nieto. http://physicsweb.org/articles/world/17/9/3 [3] "Lessons Learned from the Pioneer 10/11 for a Mission to Test the Pioneer Anomaly", by S.G. Turyshev, M.M. Nieto, and J.D. Anderson. http://arxiv.org/abs/gr-qc/0409117 [4] "Conventional Forces can Explain the Anomalous Acceleration of Pioneer 10" by Louis K. Scheffer: http://arxiv.org/abs/gr-qc/0107092 [5] "Modified Newtonian dynamics (MOND)", Wikipedia encyclopedia: http://en.wikipedia.org/wiki/Modified_Newtonian_dynamics [6] "Action-at-a-Distance and Local Action in Gravitation", by Toivo Jaakkola: http://redshift.vif.com/JournalFiles/Pre2001/V03NO3PDF/V03N3JAA.PDF [7] DeBroglie-Einstein wavelength equation, per Hyperphysics.com: http://hyperphysics.phy-astr.gsu.edu/hbase/debrog.html#c1 [8] Axiomatic Equation, further reading: http://www.humancafe.com/cgi-bin/discus/show.cgi?70/108.html and "Does Gravity Zero-point Energy Explain Spin" http://www.humancafe.com/cgi-bin/discus/show.cgi?70/145.html by I.D. Alexander et al, for how these ideas were derived. [9] "Nasa Planetary Fact Sheet": http://nssdc.gsfc.nasa.gov/planetary/planetfact.html [10] "Atomic Mass as a Gravity and Energy Function, per the Axiomatic Equation: with implications for the Pioneer 10 and 11 Distant Probes Acceleration Anomalies"© by I.D. Alexander (Nov. 27, 2004, not published). http://www.humancafe.com/cgi-bin/discus/show.cgi?70/166.html [11] Galactic Halo Gravitational Lensing paper: "Weak Lensing Constraints on Galaxy Halos" by H. Hockstra, Oct. 19, 2005 at: http://arxiv.org/PS_cache/astro-ph/pdf/0510/0510546,pdf [12] Equivalence Principle: http://en.wikipedia.org/wiki/Equivalence_principle [13] Allais Effect: http://en.wikipedia.org/wiki/Allais_effect
Addendum: [a] There may be a lower, gentler MOND for our solar system, as described per this post: http://www.humancafe.com/cgi-bin/discus/show.cgi?tpc=88&post=3497#POST3497 [b] Boltzmann Constant may have a variable G component relative to Earth's black body average temperature, as posted here: http://www.humancafe.com/cgi-bin/discus/show.cgi?tpc=88&post=3173#POST3173 and http://www.humancafe.com/cgi-bin/discus/show.cgi?tpc=88&post=3172#POST3172 - This G value could perhaps be tested on the ISS, where it should read >6.67E-11 and <7.239E-11, if Earth's interior heat is a factor on Newton's G. (posted 8/01/07) Ivan D. Alexander humancafe@aol.com www.humancafe.com November 12, 2005 Ps: I'm posting this paper here just for fun , since it will never be published. I'm too radical even for the radicals. Most people of mainstream physics, especially modern physics, look upon it with horror. How could Newton's (universal constant) G vary by such a large magnitude, of 1G per 1AU, they ask? I'm surprised they haven't held up a cross to me, since my idea is so blasphemous, maybe even evil! Mostly, they run like scalded cats at the sight of what these numbers represent, or ignore me, close my threads on discussion forums, etc. I'm used to it, so not bothered anymore. Yet, the numbers work out, though the results are bold, far bolder than the gentlemanly M.O.N.D. as posited by Milgrom. That's the price I must pay, that the idea remains without peers. So I list this paper here for the record, never posted before, and likely never to be published in any astronomy or physics journal. I leave it as it is, odd that it may be, my magnum opus on gravity, until we test for G inertia in the outer solar system. "Investigation of the Gravitational Potential Dependence of the Fine-Structure Constant Using Atomic Dysprosium" (2007), Ferrel, Congoz, Lapierre, Mguyen, et al. http://adsabs.harvard.edu/abs/2007arXiv0708.0569F [Edited April 21, 2008, to correct order of magnitude error in original.] Ivan
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Ed Chesky
| | Posted on Monday, April 03, 2006 - 05:44 am: | |
Hi Ivan, Great work In terms of your posting, much about the universe remains to be discovered and until science advances to the point where data is obtained to contradict it the established view of the nature of the universe will not change. Scientists are for the most part very conservative. This is evident from the nature of the system they built with regards to the scientific method. Great minds that intuitively make great leaps are often overlooked and pushed off to the side lines until their, "radical" views are proven by scientific evidence to be true. The great thing about the itnernet is that people can view what they like and have the ability to view and consider all view points on a subject. In ancient days for proposing a radical view of the universe that goes against established thought you would have been burned at the stake. We have made some progress and in this day and age you can with the click of the mouse post your premise in a place that is viewed by millions of people. What I have tried to do with geometry is show how the great minds of geometry have developed a parallel understanding of the nature of the universe. A view on the nature of creation that that has evolved over the course of 3000 years. This view was built upon the basics established by the ancient Greeks and Egyptions long ago. These basics form the bedrock of our science and math. by saying something is impossible in the field of geomotry limited minds in their arrogence have closed doors leading to paths of understanding that bring us closer to understanding the true nature of creation. This is why in ancient days the greats of geometry math and science encrypted their works and hid it out of fear of persecution. In time others will build upon our work and take us places we have yet to dream of. On this sight we have stired the imagination of millions, Islamic, Hindu, Asian Chinese, and a host of others. With logic and geometry, some lines on a piece of paper, and few clicks of a mouse we have built a network that spans the globe. What more can you ask. My Best and be well Ed Chesky |
   
Le Chef
| | Posted on Tuesday, April 25, 2006 - 07:16 pm: | |
PS Ivan, what kind of 'Shrooms you doin'? i want some!
Peace. |
   
IVAN
| | Posted on Sunday, May 07, 2006 - 06:53 pm: | |
‘BREAD CRUMBS’ TRAIL – a Chronological Anthology. This follows with short excerpts the trail from the original seminal ideas to what later became the Axiomatic Equation, with links to pages showing related arguments. 1. Oct. 23, 2001: http://www.humancafe.com/discus/messages/1/30.html
If 1 x 1 = 1 then 1/2 x 2 = 1 or 1/4 x 4 = 1 and 1/8 x 8 = 1 etc... or formally [1/n x n = 1], where the ‘n’ gets larger and larger until it approaches ‘infinity’. Thus, where does this leave us? We eventually get: 1/’infinity’ x ‘infinity’ = 1. 2. March 29, 2002: http://www.humancafe.com/discus/messages/1/49.html
On reading Quantum physics, on a possible Theory of Everything; i.e., Paul Davies "The New Physics" (Cambridge Univ. 1989), and John Gribbin "The Search for Superstrings, Symmetry, and the Theory of Everything" (Little Brown 1998); I am struck by a common problem to which there seems to be no solution. Though best minds have studied this for over a century, from Faraday and Planck to Einstein and Fermi to Salam and Weinberg to Gell-Mann and Nambu and Wu and scores others, there is a lack of conceptual coordination, as expressed by the mathematics, of being able to relate the strong and weak forces, electromagnetic forces, and the weakest force of gravity, into a general theory. I suspect that it may be possible to re-coordinate the mathematical expressions where there is a ‘basic common denominator’ into which all functions have to fall, and from which all Quantum interactions of the higher levels would then find expression. 3. April 6, 2002: http://www.humancafe.com/discus/messages/1/49.html
ALGORITHMS Using the basic (0 x infinity) = 1 , model for TOE, let us apply known quantities to this general formula, and let us further assume that "m" is equivalent to "1", and that the photon "p" is set as a function of the speed of light, at "1/c2". The infiniton "I" is still unknown. This would translate (0 x infinity) = 1 into the basic model [ p x I = m ]. Now, if we take photon energy to be set here at the "zero", and thus "1/c2" [or the inverse of the speed of light squared], and the "infinity" value set at "E", to represent the infiniton, which is as yet undefined, then we can easily see that this coincides with the famous E=mc2. Or, to put it differently: 1/c2 x E = m, which is how we structured the algorithm above. Now, the "E" value is what needs to be determined to satisfy this equation, not as only an equation of "electromagnetic energy", which E=mc2 describes, but also as an equation that incorporates the gravity energies of G, the universal gravity constant, and of the still unknown "inifiniton" strong force. So this is where it stands thus far, to convert what is essentially a formula of energy-only into a formula that incorporates the Strong Force of nuclear gravity as the infiniton, or "I". However, to satisfy the condition stated above that gravity, the G constant, is a left over product of the p x I interaction, then I would subtract it from the result of m. Therefore, I would restate the basic formula above as follows: 1/c2 x E = m-g where "-g" takes the place of "G" since it is not a primary force but merely "left over" from the interaction within the atom (which is shown as negative because it is what is "missing" from the atom). Now, we could be further illustrated by showing that "E" within the equation is replaced with "mc2", so that we have [1/c2 x mc2 = m (-g)], which then (by bringing 1/c2 over to m) breaks down to mc2=mc2, which is =E. (Note, this was an important conceptual step in the formation of what follows; more on same page: April 25, 2002, very early thinking on the matter.) 4. May 2, 2002: http://www.humancafe.com/discus/messages/1/49.html
And I posit the algorithm to express the interaction between photonic light and super gravity with: h/cw + g = m = 1 , where h is Planck's constant, c is light velocity, w is lambda wavelength, g is the gravitation constant, and m is mass, which is all set to equal one; so that the interaction between light and super gravity is modified by the gates of electrons and exchange of energy, so the end result is mass, the basic building block of universal reality. 5. June 23, 2002: http://www.humancafe.com/discus/messages/1/59.html
Remember that G, in my TOE, is only a left over force, what's left from the EM and SuperGrav interaction, which creates mass. In our corner of the universe, G appears to be constant, because the level of EM here is constant, but go beyond the solar system where there is less photon light, and gravity intensifies, which means any object beyond Pluto starts to weigh more, the further it goes, the more mass it gets. This will be so until it reaches another sun system, then its mass will lighten again, as more photons are present. Well, that's my intuitive bet, supported by my rather odd math, which adds up to having an infinite like force, the photon (zero mass), interact with another infinite like force, super gravity (infinite mass). Whether or not the photon has mass is irrelevant in this case. It's in their ability to modify each other that matters. 6. June 23, 2002: http://www.humancafe.com/discus/messages/1/59.html
"Mystery force tugs distant probes." Some more food for thought, if not conclusive evidence, yet. Here is a BBC Sci/Tech article, May 15, 2001, on deep space gravity which may give a clue to what I mentioned above, that gravity is not a constant everywhere. http://news.bbc.co.uk/hi/english/sci/tech/newsid_1332000/1332368.stm Also: http://news.bbc.co.uk/hi/english/sci/tech/newsid_168000/168410.stmThis may not explain my thesis on gravity, but it does show that there are still unknowns about this force. Gravity has also shown not to be constant everywhere on Earth, so some places pull more on us than others, but I suspect for reasons of mass rather than photonics. See gravity map at: http://news.bbc.co.uk/hi/english/sci/tech/newsid_1668000/1668872.stm (This was first time I heard of Pioneer Anomaly.) 7. August 14, 2002: http://www.humancafe.com/discus/messages/1/60.html
LIGHT PHOTON WAVELENGTH FOR TOE Dear Friends, fellow TOE seekers, I have worked out the math for the TOE as I had posited in the above posts, and have computed what is the wavelength of the photons to satisfy the algorithm derived from E=mc2, as being approximately 2.2087 x 10^-42 m. !!!!. By using Planck's constant "h" of 6.626 x 10^-34, and using "C" as 3 x 10^8 m/s, I come up with the photon wavelength [to satisfy the TOE formula of (h/cw) + g =1 = m] as "w" is 2.2087 x 10^-42 m. … One of the spin offs from this is that as the photon energy decreases, or downshifts to a redshifted longer wave, it increases the (C x w) portion of the equation, whin in turn would increase the gravitational constant. If so, then instead of "g" being approx = 5.6 x 10^-39, it would upshift to a higher number... maybe. (This was an incomplete idea, but on its way. Also see August 15, 2002, same page.) 8. August 25, 2002: http://www.humancafe.com/discus/messages/1/60.html
ELECTRON "HARMONICS" FOR HYDROGEN © by Ivan Alexander Gentlemen, I think I got it. I did the calculations for relative electromagnetic energy wavelengths "w" (I don't have a lambda key) for the quantum shells of a Hydrogen atom. The ratios, derived from dividing the wavelength of the higher shell by the shell immediately below it, approximate Pythagorean harmonics, in reverse order, so that the largest number is for when the electron jumps from shell 6 to 4, which approximates the harmonic ratio of 2, "do"; (for lower shells, 3, 2, 1, the ratio results exceed 2); and the lowest approximates 1.33, "4/3", which is "fa" as it jumps from 12 to 11. I did not find it coming all the way down to 1, though it tends that way. Below are the calculations as derived from "Hydrogen energies and spectrum" on the Hyperphysics page: http://hyperphysics.phy-astr.gsu.edu/hbase/hyde.html#c4 , which has a calculator built in. 1. Music harmonics as derived by Pythagoras, as shown by Ray Tomes in his paper "Harmonics, Pythagoras, Music and the Universe": http://homepages.kcbbs.gen.nz/rtomes/alex-ha.htm : do= 1 re= 9/8 = 1.125 mi= 5/4 = 1.25 fa= 4/3 = 1.333 so= 3/2 = 1.5 la= 5/3 = 1.666 ti= 15/8 = 1.875 do= 2 2. Electron shells, "n", in declining order (n2-n1), and their lambda wavelengths "w" in nanometers "nm", all for atomic number "1": n2-n1 = (12-11) = 69034 nm (i.e., 6.9034 x 10^-5 m), or 4.35 x 10^13 Hz. = (11-10) = 52506 (5.2506 x 10^-5 m) = 10-9 = 38848 (3.8848 x 10^-5 m) = 9-8 = 27788 = 8-7 = 19051 = 7-6 = 12365 (1.2365 x 10^-5 m) = 6-5 = 7456 (7.456 x 10^-6 m) Note the waves are getting smaller. = 5-4 = 4050 (4.050 x 10^-6 m) = 4-3 = 1875 = 3-2 = 656 (6.56 x 10^-7 m) The energy waves get smaller still, as we approach nucleus. = 2-1 = 122 (1.22 x 10^-7 m) Very high frequency here, 2.459 x 10^15 !! (I suspect that if we were to caculate the 1-0 shell's energy, it would be much higher still.) 3. Okay, so now we know what the transition "lambda wavelengths" are for each electron jump to a lower shell. Now, if you divide each of these wavelengths by the lower shell's, successively, you will get ratios which look like this: (3-2)/(2-1) = 5.38 (i.e., 656 divided by 122) (4-3)/3-2) = 2.86 (5-4)/(4/3) = 2.16 vs 2 (Pythagoras) (6-5)/(5-4) = 1.84 vs 1.875 (7-6)/(6-5) = 1.66 vs 1.666 (8-7)/(7-6) = 1.54 vs 1.5 (9-8)/(8-7) = 1.46 vs. 1.5 (10-9)/(9-8) = 1.40 vs ?? (i.e., 7/5 on fifth's scale) (11-10)/(10-9)= 1.35 vs. 1.333 (12-11)/(11-10)= 1.31 vs 1.333 Of course, the same applies for the quantum energy ratios, expressed as "eV", for the above shells, since they are relative to the energy wavelengths. 9. August 29, 2002: http://www.humancafe.com/discus/messages/1/60.html
WHY THE MATH WORKS: for (h/cw) + g = mass =1. Not using the numeric values, but rewriting it in terms of units of measure only, it looks like this: (Please note that "°" is "multiplied by") h (in units)= m^2°kg°s^-2 ...Planck's constant c = m°s ...light speed, as meters per second w = m s ...lambda wavelength, as meters (also per light distance in one second) m = kg ...mass, as kilograms g = ? (I'll leave this one out for now) So you get, as per equation above: [(m^2°kg°s^-2)/(m°s)°(m°s)] + g = kg Multiplying and cancelling out we get: [m^2°kg°s^-2]/m^2°s^2] + g = kg then further: [kg(m^2)/s^2]/(m^2°s^2) +g = kg Now, m^2 cancel out, leaving: (kg/s^2/s^2) + g = kg Now, s^2 cancel out, leaving: kg (+g) = kg So this is how the units used cancel out and become equal to mass as kg. The g factor is still a problem, since the number used, 10^-39, is a dimensionless constant (which I do not know what it means!). 10. September 13, 2002: http://www.humancafe.com/discus/messages/1/60.html
"BLACK HOLE" KITCHEN EXPERIMENT: Looking up at our Milky Way galaxy inspired me to try a kitchen experiment in physics to simulate wave energy from around a galaxy. The goal was to see what happens to energy waves coming together from a circumference into the center, same as would happen to light energy coming from around the galactic spiral into its center. I filled a round black bowl with water and applied against the rim a vibrating device to stimulate waves in the water. (I chose black so as to more easily see the waves against the dark background.) As expected, the rim was teeming with energy waves, which uniformly radiated in perfect concentric circles towards the center of the bowl. There, to my pleasant surprise, the waves came together into a nipple that stood out, as I expected in my mind's eye. This demonstrated how the waves bunched up at the center, coming uniformly from all directions of the perimeter, so that they canceled out to rise above the surface in amplitude. Surprisingly, there were not waves returning from the center, so that all were absorbed there. 11. September 15, 2002: http://www.humancafe.com/discus/messages/1/65.html
ATOMUS SUMMUS ET UNIVERSUS: A new interpretation of the known physics and cosmology. © By Ivan D. Alexander THIS IS WORK IN PROGRESS, NOT FINAL THEORY! Abstract: This paper endeavors to show that there is a more streamlined way to understand the astrophysics of how cosmic electromagnetic energy interacts with a (postulated) supergravity that is the primordial stuff of our universe, which results in an atom. This new theory of the atom is based on rewriting Einstein's famous formula for energy and mass, using Planck's constant, whereby gravity as we know it becomes a residual force. To solve the necessary lambda wavelength of E=mc^2, the equation was rewritten as h/cl + g = m = 1; which in its solution indicates gravity is a constant only within the parameters of a constant energy source, such as our sun or any star, but is likely a variable-constant away from such an energy source. This theory also explains the why of "black holes" at galactic spirals, and offers an alternative explanation for light redshift over great cosmic distances, and may give us a better understanding of so-called "dark matter". Atomus Summus also offers a new way to understand the planets and gas giants in our solar system. E=mc^2. This is the basic premise on which this new interpretation of the atom is based, which leads into a new Theory of Everything (TOE) combining the four known forces of Strong Force, Electromagnetic Force, Weak Force, and Gravity. …So we are back to the beginning, where zero times infinity equals one. This is the fundamental philosophical basis of this theory on the atom, as the Atomus Summus, a universal Theory of Everything, captured by the expression h/cl+ g = m = 1. Conclusion. No doubt there is still much work to be done on this. However, if this proves to be verifiably correct, the ramifications are immense. Gravity would now no longer be seen as some outside force of the atom, but as its actual byproduct of the interaction between light energy and the supergravity force that defines the atom's central core… 12. February 6, 2003: http://www.humancafe.com/discus/messages/1/79.html
GRAVITY IS ? Within the structure of the atom as defined by E=mc^2, (which became E/c^2 + g = m), g = 5.9X10^-39, as a gravitational constant. This was how gravitation was defined within Atomus Summus through the rewritten equation of "energy vs gravity" expressed as h/cw + g = m = 1, where "w" is lambda wavelength of e.m. energy. In solving this wave lambda for the gravitational state of our solar region, w=2.2087X10^-42 meters, yields the "g" above. But what does this mean? What is the Gravity function "G" as a constant "g"? We know of Gravity on Earth, and in the measurable heavens, by the function: G = 6.673 X 10^-11 m^3 s^-2 kg^-1 in terms of metric units and approximate gravitational constant, which is not the same as "g" above. "G" is what gravity becomes in our immediate environment, whereas "g" is what remains as a gravitational constant of the function interacting energy and gravity within the atom. But "g" can now be understood as a function relative to energy "w", which is a variable throughout the cosmos, thought it may remain relatively fixed within a star system, because that is how that star emits its electromagnetic rays into its system. This is how the system then balances out, so that the remainder force of gravity, which is a very strong force, becomes negated into a very weak force, such as we experience here on our planet. So there is a more meaningful way to write out the "energy vs gravity" equation as such: h/cw = m - g, or better as: h/cw - m = - g, which formally becomes: -g = h/cw - 1, remembering that m=1, so that "g" becomes a function of "w" lambda. 13. February 28, 2003: http://www.humancafe.com/discus/messages/1/79.html
GRAVITY IS STRANGER THAN FICTION? A funny thing came into my head while on my way to New York, that ENERGY = MATTER + GRAVITY, which made me look out the window on the white clouds below and azure blue sky above, and wonder... Where am I? Somewhere over the Texas Panhandle, I thought. The way this showed up algorithmically was like this: E = mc2, which we all know, but gravity was missing, so that it became E/C^2 = m-g, where "g" is a small gravity dimensionless constant of 10^-39, which is a gravity-electromagnetism relationship. This formula then rewrites as: E = (m-g) C^2, which further multiplies out to: E = (mc^2) - (gc^2), so that we get: -gc^2 = E - mc^2. Now it take a leap to see the next relationship, but it looks like this: G^2 = gc^2, so that the small gravity constant "g"translates into macro-gravity "G". Now, G = 10^-11, approximately, and g = 10^-39, approx. When putting these together, with c = 10^8, we get the following: G^2 = gc^2, so that, (10^11)^2 = (10^-39) x (10^8)^2, G^2 = 10^-39 x 10^16 = 10^-23 Now take the square root and you get approximately 10^-11, which is G. (This was first time I conceived of how to convert proton-proton gravitation relationship into Newton’s G.) 14. March 15, 2003: http://www.humancafe.com/discus/messages/1/97.html
AXIOMATIC EQUATIONS OF THE NEW PHYSICS: Em o c = h/l(eomo)1/2 = (Bm)c2 = f(E)(1-g)c2 = Eenergy © (Please see Axiomatic Equation - revised for updated, as of January 23, 2004, and November 19, 2004.) Dear Friends, Below is the 'work in progress' draft of the work done over the past year resulting from all the discussions and ideas on a Theory of Everything, dating back to Feb. 23, 2002, to "Atomus Summus" in the Archived Forums, to the New Forums, to now. …Inquiry into the Relations between Energy and Gravity, relative to E=mc2, with Axiomatic Equations, as a Foundation for a Theory of Everything and the New Physics. By Ivan D. Alexander © Abstract: The search in physics for an algorithmic method of incorporating electromagnetism, the weak and strong force, and gravity into a comprehensive theory of everything has been an illusive holy grail since the days of Albert Einstein, with limited success. This paper will show how it is possible to envision energy and gravity as interactive forces relative to each other, starting with a foundation of E=mc2, and ending with why black holes at galactic centers negate all light. This is achieved through solving Einstein's famous mass-energy formula's necessary electromagnetic lambda wavelength. This solution was achieved by rewriting the formula as h/c ? + g = m, whereby h=Plank's constant, c=light velocity, ?=lambda of e.m. wavelength, g=dimensionless gravitational constant (5.9x10-39), m=1 (which represents the unity of interacting forces); so that m= 1= one hydrogen atom. The result of this inquiry will show that Gravity, such as we know here as G=6.67x10-11, is a variable-constant dependent upon the solar energy environment within which it is measured, whereby G will be a lower value inside a star, but of greater value out in deep inter-stellar space. In final analysis, it all reduces to the Axiomatic Equation: Em o c = h/?(?o?o)1/2 = (Bm)c2 = f(E)(1-f(g))c2 = Eenergy ® f(E) = f(E'/E), a function of total planetary orbital Energy divided by Earth's total Energy of 90 petajoules/second. f(g) is a function of proton gravitational constant, which is: f(g') = [(Protonm)' * g] / (Protonm), where g=5.9e-39 for Earth's E, and g' is a ratio derived from E'. (This was when the Axiomatic Equation was first formulated, still subject to revisions.) 15. March 20, 2003: http://www.humancafe.com/discus/messages/1/79.html
Random Notes on Spin, as it applies to a neutron star. Dear J___, Here are some ideas on how to figure the spin of something like a neutron star. I would use the Crab Nebula as an example. There is information on this pulsar cum neutron star at: Chandra X-ray Observatory Cosmiverse Reference Library I figure that if we can calculate (guesstimate) the "g" factor, as per "Atomus Summus-2" as a gravitational constant, using G to calculate this, we may be able to guesstimate the value of the neutron star's Mass, though this would be, of necessity by this system, only as a function of m=1, which is mass figured as a fraction of absolute mass. The results are interesting, however. Taking as a basis G^2=gc^2, and using G as 6.67x10^-11 as Earth's gravity, taking further the generally accepted idea that the solar mass of the Crab Nebula neutron star is approximately 100 billion (10^11) times the gravity as measured of our Sun's (so that G of the neutron star is approx. = 6.67x10^-11 times 10^11 = 6.67x10^0), we can then calculate Mass as follows: (6.67x10^0)^2 = g (3x10^8)^2 which then becomes g=4.94x10^-14 (This "g" is therefore much more powerful as a gravitational constant than the g=10^-39, which is the constant for our region of solar energy.)… 16. June 26, 2003: http://www.humancafe.com/discus/messages/70/108.html
AXIOMATIC EQUATIONS (FOR THE NEW PHYSICS) Em o c = hc/ l ( = h/l (eomo)1/2 =(Bm)c2 = (1-g)c2 = Eenergy ® (as developed on Atomus Summus-2) If E=mc2 is true, and if E/c2=h/cl =m-g is an expression of its gravitational constant, with g=5.9e-39 (see Gravity coupling constant) and with c=1/(?o?o)1/2, see Electric and Magnetic Constants if by substituting Em/c = Bm, see: Electromagnetic Wave Equation we have: Bm=E(?o?o)1/2, then we can say: E/c2=Em(?o?o)1/2 is its magnetic constant Bm, then of necessity, if c2=1/(?o?o), we can say: c2(m-g)=c2(h/c?)=E, and with substituting c2 we get: (m-g)/?o?o=h/cl /?o?o=E, which is also as per above: E=c2[Em(?o?o)]1/2 which becomes: E=Em/(?o?o)1/2, which with E=(m-g)/(?o?o), together they become: Em/(?o?o)1/2=(m-g)/(?o?o) which, because (m-g)=h/cl, we end up with: Em/(?o?o)1/2=h/cl /(?o?o) which is simplified into: Em/(?o?o)1/2=h/cl (?o?o), and thus, by multiplying it out: Em = h(?o?o)1/2/cl (?o?o), which equals: Em. c = h/l(eomo)1/2 = (m-g)c2 = Eenergy ...if m=1 (Also see posts June 30 – August 27, 2003, same page) 17. August 18, 2003: http://www.humancafe.com/discus/messages/1/79.html
SOME MEMORABLE CONCEPTS FROM TOE OF THE NEW PHYSICS -Gravity is not a universal constant, but it is a variable-constant -Gravity is inversely proportional to energy output of local star, or galaxy -Electro-gravity is an oxymoron, they are mutually exclusive -"Time" is a notch on a stick (it has no physical dimension) -Inverse proportions multiplied together always equal "one" -The atom is the essential building block of the universe -Harmonic relationships are endemic to how the universe is built -The four basic forces of physics, TOE, are only two: Energy and Gravity -The "Axiomatic Equation" is open ended, Energy always resulting in Watts (Power) -Gravitons do not exist -Energy is always broken out into positive and negative charges, which cancel when possible, or repel when not (we do not know why) -There are only two constants, "c" and "m", all else is variable -Pluto's gravity per mass is greater than Mercury's (we still do not know this) -Canceling all light lambda gives us total gravity (a future energy source) -Gravity is a continuous force, never exhaustible -Light redshifts through denser gravity of deep space -Light and gravity are universally present throughout all of space -Energy always travels in a P-wave (S-wave is a Cartesian coordinate invention) -All mass has lightspeed velocity in space (in relation to light traveling away from it) and is never infinite These above are the new concepts of the New Physics. Some are yet to be discovered, so speculative, others are already known. The universe is built of a most simple interaction, in that it interacts with its opposites. The end result is an atom from which leak the remainder forces of gravity and magnetism, in inverse proportions. 18. September 16, 2003: http://www.humancafe.com/discus/messages/70/108.html
A UNIFIED THEORY of Gravity and Energy: The Axiomatic Equation © Conceptually, the Axiomatic Equation says: Em * c = hc/l/l= h/l/l (eomo)^1/2 = (1 - g)c^2= (Bm)c^2 = Eenergy This in its simplicity and elegance is a pure expression of energy and gravity resulting in mass, where mass equals a unity of one, m = 1. If we use mass as proton mass, 1.67e-27 kg, the resulting E = 1.5e-10 Joules/second, or Watts. REVISED, work in progress: However, because by convention we use kilograms for mass, where mass here as m = 1, kg/kg, and gravity proportional G has a kilogram component, so it needs to be rewritten as follows, where E = 90 petajoules: E' = Em * c = hc/l (mproton) = h/l(eomo)^1/2 * (1/mproton) = f(E'/E)(1m- g)c^2 = f(E'/E)[mc^2 - (G^2 m/p^2)] = f(E'/E)(Bm)c^2 = E Energy © = 9e16 m^2.kg.s^-3 = Joules/seconds = Watts, (Earth only) where mass (m) is proton mass 1.67e-27 kg (multiplied by its inverse 5.99e28 to become m = 1, kilogram per kilogram) to result in total E = 90 petajoules, per second. [Note: f(E) = f(E'/E) = a function of planetary total orbital Energy, E', divided by Earth's total Energy, E = 90 petajoules/second. E'= solar irradiance (W/m^2) times distance (in meters) times total planet orbital Energy (KE = 1/2 mv^2), where m =1, a template only, to yield E = 90 petajoules/second for Earth's orbital Energy. Earth's E' = E'/E = 1.] I'm not totally happy with this revision, so needs more work to balance out the equation further. Subsequently dropped the Watts, Joules per second, so E' reads now in Joules, but still troubled by (1-g) function for mass minus the proton gravitational constant, since mass = 1 kg/kg. Specifically, this function: f(E'/E)[mc^2 - (G^2 m/?^2)] needs better definition of what the function f(E'/E) actually means. In its final form, the equation should balance out in Joules, where E' is adjusted for mass minus proton gravitational constant for each orbital Energy at distance from star. Could Planck's constant h be also a variable? Don't have answers for now. - IDA, June 19, 2005 where it is understood f(g') = [(Protonm)' * g] / (Protonm) G * m = (G^2 * m)^1/2 = ~(mc^2)^1/2*pi - [hc/l(mproton)]^1/2*pi = ~(mc^2)^1/2*pi - (Em*c)^1/2*pi = ~(mc^2)^1/2*pi - E^1/2*pi = ..., which is the G in the F = Gm/r^2 equivalent of E. (For illustration only, see post below, June 1, 2004, for how this equation for G was derived, not exact.) the more direct gravity relationship using the Axiomatic is this: Gravity equation: G^2/pi^2 = [hc/l(proton mass)]- c^2 = -gc^2, where in taking the square root we get Newton's G. By Ivan D. Alexander. Abstract: This is not physics as currently understood. The Axiomatic Equation is made up of functions from Maxwell's, Planck's, DeBroglie's, Einstein's, and Newton's equations. The paper will show how it is possible to envision energy and gravity as interactive forces relative to each other, starting with a foundation of E=mc^2, and ending with why gravity is not a universal constant. It will also show why neutron stars exist, what is the so-called dark matter, and why black holes at galactic centers negate all light. This is achieved through solving Einstein's famous mass-energy formula's necessary electromagnetic lambda wavelength. This solution was achieved by rewriting the formula as h/c? + g = m, whereby h=Planck's constant, c=light velocity, ?=lambda of e.m. wavelength, g=a dimensionless gravitational constant (5.9x10^-39), m=1, which represents one hydrogen atom of mass, dimensionless with kg/kg implied. The result will show that Gravity, such as we know here as G=6.67x10^11 m^3.kg^-1.s^-2, is a variable-constant dependent upon the solar energy environment within which it is measured. The 'variable' constant Newton's G may be inversely proportional to the Energy received from our local star, the Sun. The Axiomatic Equation is a simple mathematical formula which models how this interaction of two opposed forces of Energy results in an atom with measurable remainders of magnetic and gravitational energy… (Also see posts October 25 – December 27, 2003, same page) 19. January 31, 2004: http://www.humancafe.com/discus/messages/70/108.html
MOMENTUM, and gravitational mass. We know from common experience momentum as that which keeps going until stopped. It is what Newton formulated in his theory of inertia, where a mass at rest will stay so until force is applied to it, thus giving it velocity, and keep that velocity until another force is applied to modify its motion. The mass times velocity is what is now called 'momentum' = p, expressed mathematically as: p = mv. DeBroglie also defined momentum in his wavelength relationship for the photon, which is expressed mathematically as lambda: l = h/p, where h is Planck's constant. He then translated this function into a relationship for electron particles, which are known to have mass. The mass of a photon is still debated, however the same function applies to both, meaning the photon acts as a 'particle' as if it had mass. The David-Germer experiment showed that the electron exhibits the same as DeBroglie's, so that l = h/(mv), if expressed in non-relativistic terms. (Please note 'relativity', as defined by Einstein-Lorenz, is treated here as a purely 'observational' technique, non-transferable into the actuality of the workings of physics in the real world.) This same function is also expressed as ? = hc/pc, where pc = E for the photon, where E = 1 eV by convention. The linkage between the momentum of kinetic energy of matter and the electromagnetic wavelength of the energy of particles is shown using a 'relativistic' equation: E = mc^2 = KE + moc^2, so that the relativistic kinetic energy is expressed as: pc = (KE^2 + 2KEmoc^2)1/2, which at extreme relativistic velocities, E >> moc^2, so that pc ~ E. Thus, at a relativistic speed a fraction of the speed of light, momentum is calculated simply as v/c = pc/E, where as v = c, => pc = E. This form of definition for momentum leads one to think of it as a relative constant, meaning that for whatever energy is applied to create this momentum, it will thus remain as a constant velocity, until this energy changes. Under normal circumstances in our immediate vicinity of space, this energy is always constant for any given momentum, so that momentum for mass always yields the same relative velocity. However, if we go away from our immediate Earth environment, say far out into space beyond the solar system, the energy levels there may not be the same as here, but much diffused and weaker, so that the momentum to velocity relationships, and inertia, may be different. This way of thinking is currently not accepted, nor even theorized (to my knowledge), except in how reads the interpretation of the Axiomatic Equation. It would appear, from this 'new physics' equation, that if momentum is a constant, once established, an increase in inertia, or lengthening of wavelength energy (which also increases gravitational force per mass), then the velocity should slow, and vice versa. I believe this linkage between momentum and wavelength effect can be demonstrated with the function of the Axiomatic Equation which deals with it… 20. March 21, 2004: http://www.humancafe.com/discus/messages/70/108.html
MASS FUNCTIONS, per the Axiomatic New Physics. There is a fine point that needs to be understood in the New Physics, that Mass is not merely one value, but that it has multiple definitions dependent upon how mass is applied: Mass is always equal to one as an a priori value: m = 1 This fundamental value is then broken down into sub definitions dependent upon how it is being measured: Energy mass: E = (1-g)c^2, where m = (1-g) Inertial mass: mi = 1 * g Photoelectric cutoff mass: mp = 1 * 1/c, where lambda, L = ~5.2e-7 meters. This last cutoff mass is where the star's electromagnetic energy ceases to modify mass so that inertial mass is at its maximum. Below this range of e.m. stellar output, gravity becomes total as in a black hole, where light lambda cancels. The inertial mass in our solar region is very low, since g = ~5e-39. This g is a function of the proton to proton gravitational force, which can be converted to Newton's gravitational constant G via the following equation: (G^2*m^2)/pi^2 = g*m * c^2, where g = G^2*m/pi^2*c^2 Therefore, inertial mass and energy mass are not the same, for they answer to two different definitions. At the galactic center black hole, inertial mass is total, where g = 1, and energy mass is zero, where E = 0. This total inertial mass is the absolute value of the space-vacuum energy, not as a function of electromagnetic energy, but as a lack of it, where gravity is at its maximum. It is possible that this maximum space-vacuum energy, ZPF, will someday be duplicated and used to drive kinetic motors or motion. 21. May 26, 2004: http://www.humancafe.com/discus/messages/70/108.html
THINKING ON GRAVITY G, a possible interpretation in Volts? … There was something that came up when I rewrote the above gravity conversion, by taking the square root of the equation (m = 1, stays same) as: G*m = (g)^1/2 *c*pi Now, the SI units became (m^3.kg^-1.s^-2) kg = (g?) m.s^-1 which cancels the kg, so it leaves g as 'm^2.s^-1', not something immediately recognized, except that it might be a Volt expression... here's how: If amperes are expressed in Newton's per meter (i.e., electron current is force 2e-7 newton's per meter, as per SI base units), then we can say: A = N.m^-1 N = m.kg.s^-2, so that m cancels and A = kg.s^-2 Volts are W/A so that W = J.s^-1 = m^2.kg.s^-3 which give us V = W/A = m^2.kg.s^-3 / kg.s^-2, which simplifies into V = m^2.s^-1 Now we can recognize m^2.s^-1 as an expression of Volts! {Also see June 1-3, 2004, same page.) 22. June 3, 2004: http://www.humancafe.com/discus/messages/70/122.html
AXIOMATIC CUT-OFF FREQUENCY FOR GRAVITY? Can there be a 'cut-off' frequency of light for gravity? This question occurred to me when I was considering using Em =1 as a way to figure momentum p: If we take m = 1, so that (m-g) = (1-g), and Em = 1, then per the Axiomatic: Em * c = (1-g)c^2 = E, we get: 1 * c = (1-g)c^2 = E, which dividing it all by c: 1 = mc = E/c. = p Now, if we take mass (m-g), where m = 1, in some approximation of 1/c, it becomes: (1-g) = ~1/c, per the Axiomatic: E = hc/l (mp) = (1-g)c^2, substituting (1-g) = 1/c, we get: E = (1/c)c^2 = hc/l (mp) = 3e8 Joules , so that now we can solve for ?: 3e8 m^2.kg.s^-2 = [(6.626e-34 m^2.kg.s^-1)(3e8 m.s-1)] / (l)(1.67e-27 kg/kg) where l = 3.97e-7 meters, when mass is (m-g) = 1/c. This value for lambda = 3.97e-7 meters, is also 397 nm, or 0.397 microns, or taken as hf =~3 eV as Quantum energy. In Hertz, it equals nearly 7.5^14 Hz, or visible light near orange. If our star could no longer put out light in this range or above (which for our star computes out per the Axiomatic as l = 1.3e-15 meters, or 10^23 Hz, above Gamma rays), our gravity would be very great, and our Sun would likely become a so-called neutron star. 23. October 4, 2004: http://www.humancafe.com/discus/messages/70/108.html
ENERGY AND GRAVITY SLOPES, as computed using the Axiomatic Equation. …(graph shown)… Note how total orbital Energy, as computed in Jaszz 4 (7/31/04), is very steeply curved. The gravity 'constant' G is linear, with an upward slope, which was a real surprise to me. Note also how the gas giants total Energy flattens out, while for the inner planets it is steeply sloped upwards, with an elbow about Mars and the asteroid belt. All planet distances are in AUs. What does it mean? (This was first time I saw the Energy to Newton’s G relationship as a graph.) 24. October 23, 2004: http://www.humancafe.com/discus/messages/70/108.html
THE G 'CONSTANT' PER AU DISTANCES, and the Pioneers Anomaly. I calculated that Newton's G 'constant', so called, grows linearly with distance, as per the posts on "Does Gravity Zero-point Energy Explain Spin?", Oct. 4, 2004. In fact, it seems to grow linearly at the rate of about 7.3e-11 Nm^2kg^-2 for each AU (astronomical unit = ~150e9 meters), so that by the time it is at Saturn, for example, a distance of 9.5 AUs, it is already up to 68.5e-11 Nm^2kg^-2, slightly more than 10 times Earth's 6.67e-11. Now watch what happens when you figure this out in meters rather than AUs. If one AU is approximately 150e6 km, or 150e9 meters, then dividing the growth rate of 7.3e-11/AU equals: 7.3e-11/ 150e9 m = 0.048667e-20, or = 4.8667e-22 G/m. Here is where it gets interesting, though I cannot swear this is right. Take that growth value of ?G per meter and divide it by the G 'constant', which is: 4.8667e-22/ 6.67e-11 = 0.7297e-11 m.s^-2, which is also = ~7.3e-12 m/s^2, or in centimeters it becomes: ¶G/G = ~7.3e-8 cm.s^-2. (It should be ?G/G = ~7.3e-14 cm/s^2. See ERRATUM below, Oct. 31, 2004) In taking this acceleration (towards the Sun) and doing the square root (inertial mass is increasing by same rate as G) then we get: -a = ~2.7E-7 cm/s^2, which is the rate at which the linear increase in G should slow the Pioneer distant probe. Why is this last interesting? Because it comes in approximately within range of what was discovered by the people measuring the Pioneers's rate of acceleration (Anderson, Nieto, et al, at LANL) towards the Sun = ~8e-8 cm.s^-2. (First faltering steps matching up variable G with Pioneer Anomaly. Also see November 16 & 19, 2004, where "function of Energy" is introduced.) 25. October 24, 2004: http://www.humancafe.com/discus/messages/70/145.html
ENERGY AND GRAVITY SLOPES, as computed using the Axiomatic Equation. The graph below was plotted based on these computed values for total orbital Energy and resulting Newton's G 'constant', as per the Axiomatic Equation: (some early calculations on planetary energy. Also see Oct. 9, 2004, same page.) 26. March 1, 2005: http://www.humancafe.com/discus/messages/70/166.html
HYPOTHETICAL ATOMIC MASS AS A GRAVITY AND ENERGY FUNCTION, PER THE AXIOMATIC EQUATION: With Implications for the Pioneers 10 & 11 Acceleration Anomalies. By Ivan D. Alexander Costa Mesa, CA USA (Dated November 27, 2004, revised September 6, 2005) Abstract: Mass is both a function of energy, as per Einstein's famous equation E = mc^2, and also a Quantum function of Planck's constant times c, divided by lambda ? times the proton mass, also known as the Planck-DeBroglie equation. It will be shown that in addition to these, mass is also a gravity function, as defined by the Axiomatic Equation, derived here, as an extension of the DeBroglie-Planck-Einstein equation; where the proton mass is a variable, leading to a proton-to-proton gravitational coupling constant variable, which can then be computed into Newton's G gravity 'constant'. This Newton's G becomes a function of the Energy region where it is being measured, where for our solar system its delta G increases linearly at the rate of ~7.24E-11 Nm^2 kg^-2 per astronomical unit from the Sun, one AU = ~150E+9 meters. The hypothesis is that what happens to atomic mass at the quantum level is how it converts into Newton's G gravity at the macro level, per the Energy regions where G is measured. (Though it had been formulated earlier, November 27, 2004, this paper was the first formal presentation of variable mass per variable G as cause of Pioneer Anomaly.) 27. March 2, 2005: http://www.humancafe.com/discus/messages/70/145.html
SPIN RATIOS CURVE SOLVED: Though calculations for planetary Spin Ratios vs. Kelvin heat and Energy are rough, there was a pattern that occurred with fair consistency which seems to put calculated SR and actual SR' (see chart below) within some sort of curve. This lead to 'shelve' it for a long time, until now. I think I solved what this curve represents. Taking the post of Sept. 25, 2004, above: Quote: CALCULATED PLANETARY (ZPH) SPIN RATIOS VS. ACTUAL SPIN, with Gravity. I must admit that I had been puzzled for some time as to why the calculated spin ratios worked out in the Jaszz spin ratios for the planets of the solar system (see Jaszz spin 6 above, Aug. 7, 2004), the numbers came short for the outer planets and too high for the inner planets. Something was not right, though they tended in the right direction, so I had been curious about this ever since. Then it occurred to me, that in my calculations for spin ratios I had ignored the variable G involved… (Exploring idea of planetary spin as function of planet energy and planet heat, inconclusive.) 28. March 30, 2005: http://www.humancafe.com/discus/messages/70/166.html
GENERAL RELATIVITY IN A VARIABLE G UNIVERSE? Einstein's field equation for gravity reads as: Rab - (R/ 2) * gab + ?gab = (8?G/ c4) * Tab where L is the cosmological constant R is scalar curvature, Rab are Ricci curvature tensors gab are the metric tensor components Tab are stress-energy components of non-gravitational matter, energy and forces at a point in space-time with G as the gravitational constant, c lightspeed constant, and ? as pi. Looking at the above, should Newton's G gravitational 'proportional' prove to be a variable, rather than a universal constant, the above General Relativity equation would need to be revised. Here are some foreseen revisions: 1. G has a variable value dependent upon radiant energy where measured 2. L would have to be dropped if cosmic light redshifts naturally coming out of dense deep space gravity regions, so the universe's 'expansion' is an illusion. 3. tensor components may need to be revised 4. GRT extensions, such as 'blackholes', Schwarzschild metric, 'time travel', lightspeed limit to space travel, Big Bang, and 'wormholes', all would need to be revised or rejected… It all works out much easier with the deBroglie-Einstein modified equation where G is an inverse function of E: E = hc/ lproton m) = f(1-g)c^2 where E = 9E+16 Joules (on Earth, where G = 6.67E-11 Nm^2 kg^-2, and g is the proton gravitational constant, g = 5.9E-39) You can find a calculator on for Compton wavelength, on Earth ? = 2.20867E-42 m, which when plugged in will show KE transferred to electron = 8.993858E+16 J. It was this Compton wavelength that was 'reinterpreted' into the electromagnetic equivalent for the proton in the Axiomatic Equation, per paper above. If G is found variable per this equation, the universe becomes much more simplified, more open to new discovery of gravity-powered space travel, and rather than an esoteric science revealed only to a few, it becomes inordinately understandable to everyone. (Commentary on the needed revision to Einstein’s GR, if G is variable.) 29. March 30, 2005: http://www.humancafe.com/discus/messages/70/108.html
DEEP SPACE GRAVITY? Taking an earlier post where I worked out the axiomatic 'cut off' wavelength at E = 3E+8 J, (per post above June 3, 2004), which approximates the orange range of light: 3E+8 m^2.kg.s^-2 = [(6.626e-34 m^2.kg.s^-1)(3e8 m.s-1)] / l (1.67e-27 kg/kg) where l = 3.97e-7 meters, when mass is (m-g) = 1/c. Now, if E = 3E+8 J, what is the proton mass m_p = ? Assuming l is unknown, and m_p is unknown, then we get: 3E+8 J = 19.878E-26 / ?(m), so that l (m) = 6.626E-34, which means there must be some value of equivalence for where ? and proton mass stabilize. This may be achieved if we retain the proton mass in Earth's region, (for computational purposes only), and then get the l for the 'cut off' E, which means l = 3.97e-7 meters, which itself approximates the 'cut off' wavelength in the photoelectric effect. If this should prove to be so, then it probably is the effective wavelength of deep space, meaning that because there are so many forms of energy in deep space, from dark galaxies made of hot gasses to ambient radiant energy from all the galaxies, deep space may have a more constant G than the deltaG experienced close to any star. A way to estimate it (intuitive, very rough guess) is to take the opposite tack, and to leave lambda same as we have it here, l = 1.32E-15 m, and then solve for proton mass: E = 3E+8 J = hc/ (1.32E-15)(mp), so that proton mass = 5.02E-19 kg, which means the proton mass gravitational 'constant' becomes g = 1.777E-30, and using the conversion equation for Newton's G: G^2 = gc^2 pi^2 G^2 = (1.78E-30)(9E+16 J)(9.89) = 158.44E-14, which taking sqrt give us G = ~12.6E-7 N... (approx. ~1.3E-6 N..) So G_s = ~ 1.3E-6 Nm^2 kg^2, as the approximate 'cut off' equivalent of deep space gravity, where it begins to 'flatten out' as a constant. I would guess it more a constant there because of all the ambient radiant energy of galaxies combined with the ambient plasma energy in deep space, such as found in 'dark matter' galaxies. (Started to look into gravitational redshift for cosmic light, as function of high G. See also June 19, 2005, same page.) 30. June 19, 2005: http://www.humancafe.com/discus/messages/70/108.html
Energy equation per the Axiomatic: …The value of Em for electric force is thus a variable, same as f(g), in proportion to E'/E, where the total Energy flux E' for any distance from a hot radiant star, in Joules, determines the resulting gravitational proportional for mass in situ. This means that the full Axiomatic Equation, leaving out magnetic and space permitivity and permeability components, factoring in orbital Energy, should look like this: f(E'/E) = E' = solar irradiance( -3) * 1/2 Rv^2 = Em*c = hc/ l(Protonm) = f(E'/E)(1-[f(g')pi^2]) c^2 = Energy in Joules (First attempt to factor in solar energy with Axiomatic Equation.) 31. June 28, 2005: http://www.humancafe.com/discus/messages/70/166.html
VARIABLE MASS IN VARIABLE G, PER EQUIVALENCE PRINCIPLE This may be the most difficult thing to grasp, that the kilograms we use on Earth to measure inertial mass are not the same kilograms used to measure it elsewhere. Take Saturn, for example, where the proton mass (m_pSat = ~1.5E-25 kg_Earth) is about 100 times greater than on Earth (m_pEarth = 1.67E-27 kg_Earth), in Earth kilograms. But Saturn's G (G_Sat = ~68.5E-11) is about 10 times that of Earth (G_Earth = 6.67E-11). So in terms of Saturn's G region, the proton mass there is about 10 times what it is on Earth, or equivalent to its G being 10 times greater than here, when measured in terms of Saturn's G and kg_Sat. This is a strange result, but the equivalence demands it. The Axiomatic Equations says: E' = hc/ l (m_p) = ~(1-[g pi^2])c^2 This consequently means that the left side of the Axiomatic Equation is of necessity in Earth based units for mass, while the right side the equation yields mass equivalence in terms of local G. I.e., G^2 = gc^2 pi^2, where the square root of g (proton to proton gravitational 'constant' for that region) is equivalent to local G 'kilograms', but the original as a proportion of the left side is still in Earth G, per equivalence, kilograms. If so, then local measures of mass are always in local G, per equivalence, but squared that amount in terms of Earth based G; conversely, the opposite effect is felt for the planets closer to the Sun. On Mercury, for example, G is about 40% of Earth's, but the proton mass is about 15% of Earth's proton mass. This may incidentally also explain why Mercury is "pulled" along by the Sun's spin (moment of inertia) directly, precession, since its inertial mass is so low, while this same effect falls off dramatically with distance (per inverse square law) so that by the gas giants it is hardly felt. It would also mean that past the Oort cloud, where G is very great, the dynamics of mass equivalence of "dark matter" proportions affects orbits there, and still more so beyond the galaxy's G equivalence, where the inverse square law defaults to a linear proportion. Of course, all this will need to be measured in future observations to validate what the Axiomatic Equation projects. And if so, then the gas giants are a given, where a small interior rocky mass can hold vast atmospheres, or why tiny Pluto can have any atmosphere at all. It all has to do with the Equivalence Principle for inertial mass in a variable G… 32. July 10, 2005: http://www.humancafe.com/discus/messages/70/108.html
LIGHT REDSHIFT DISTANCE TRAVELED AT 1 Z (in intergalactic medium), with implications for deep space gravity. Question: What is the mass of the deep space "vacuum" at the distance light traveled to redshift 1z; and what is its effective deep space G? From Answers.com it says one light-year is approximately D_ly = ~9.46E+15 meters. Though the spacevacuum is not entirely empty, let's assume light travels at c = 3E+8 m/s. How far would this light have to have traveled before it redshifted to 1 z? We know 1 + z = ~1 + (v/c) in non-relativistic terms (for v << c). (1) Question of distance: If 1 z (where light is at 1% of lightspeed) is approximately 129.2 million light-years(*), then what is the distance traveled to reach delta 1 z? Can we multiply 129.2E+6 light years by the distance of one light-year? If so, then the distance is: 129.2E+6 l.y. * 9.46E+15 meters = 1222.2E+21 meters, or D_1z = 1.222E+24 meters. This is quite a range of distance for light to travel in space to redshift 1 z. I do not know for sure if this is right or not (not sure how correct EvC Forum number is, and hard to find elsewhere), but it may be a useful number to figure something out, where light traveled 1.222E+24 meters at delta 1 z, where light has redshifted to only one percent of lightspeed c. If this is to be measured in AUs, where 1 AU = 1.5E+11 m, dividing gives us a distance for 1z of ~8.15E+12 AU, which is a lot! To put it into billions, it's roughtly 8,000 billion AUs, or 8,000 giga AUs, get redshift z = 1. (2) Next question, number of atoms: How much space dust and gas, let's say primarily hydrogen, is there per one cubic meter stretched over that distance of D_1z = 1.222E+24 meters? Let's say that it is the conventional one atom per cubic centimeter, of which 99% is gas (of which 92% is hydrogen gas), and convert this to 100 atoms per meter. Now that meter distance for 1 z is 1.222E+24 m long, so the total volume of that long meter is 1.222E+26 atoms of (mostly) hydrogen per the distance of light traveling delta 1 z. Okay, so what does it mean? (3) Question, mass of deep space atoms: If we have a reading on Earth (in Earth's 1 G gravity) of light "gravitational redshift" as ? ?/? = gh/c^2 = 1.136E-16 per kg (2.5E-15 divided by 22 meters)**, what would this same "gravitational redshift" be for space, where the volume density of the distance of 1 z is approximately 1.222E+26 hydrogen atoms? We know hydrogen mass is m_h = 1.67E-27 kg, so multiply this by the interstellar volume of hydrogen, and you get the total mass per 1 z: 1.67E-27 kg * 1.222E+26 * = 2.04E-1 kg, which multiplied by gravitational-lightshift z, 1.136E-16 kg^-1 is: 2.04E-1 kg * 1.136E-16 kg^-1 = 2.318E-17 and we know gravity's G is 6.67E-11 m^3 kg^-1 s^-2. Now dividing, the interstellar volume of hydrogen mass times z, by the known G, and what do you get? 2.318E-17 / (6.67E-11 m^3 kg^-1 s^-2) = 0.347E-6 m^3 kg^-1 s^2. (This is the G for the gross mass of that one cubic centimeter of interstellar medium, over distance of 1 z) G-deep space, is the "gravitational G" for hydrogen gas over the distance of 1z. In effect, this is the amount of gravitational G needed to make light redshift delta 1 z. The answer is: G-deep space = 0.347E-6 m^3 kg^-1 s^-2 (To show how cosmic light redshift is a natural deep space gravity phenomenon.) 33. April 2, 2006: http://www.humancafe.com/discus/messages/6/23.html?1146006989 (This is the last definitive paper written on the application of the Axiomatic Equation to possible cause for Pioneer Anomaly. Judgment is reserved until we find evidence that Newton’s G is not a universal constant, as believed.)
A VARIABLE MASS PER VARIALBE G HYPOTHESIS, AS A MODEL FOR THE ANOMALOUS ACCELERATION OF PIONEERS 10 AND 11 -- per the Equivalence Principle and the Axiomatic Equation. By Ivan D. Alexander, Costa Mesa, CA USA Abstract: The Pioneers Anomaly as measured shows a constant rate of acceleration towards the Sun at –a = ~8E-8 cm/s^2. This can be interpreted, in reverse order, as a gravitational phenomenon, whereby Newton’s ‘constant’ G is shown to grow at a steady rate to cause this anomalous acceleration; which shows ‘as if’ G is growing at approximately 1 G per AU. This same result can be achieved in a modified Quantum equation, here called the Axiomatic Equation©, where Newton’s G grows in inverse proportion to solar energy received at a distance from the Sun, at about 1 G per AU. The resu | |