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| Tags: mercurys, orbit, perihelion, precession, revisited |
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From the previously derived Aether Stress Equation,
c'^2 = c^2 + 2 U, where c' = speed of light under no gravitational influence c = speed of lgiht under gravity U = gravitational potential - - - The precession of Mercury's orbit around the sun is observed very accurately to be 5,600" (seconds) per century by astronomers through out several generations. Among those, 5,025" are due to the effect of equinox (inclination of Mercury's orbit), and 532" are the result of other planets. That leaves a tiny fraction of 43" unaccounted for. The Newtonian mechanics modified by the Principle of Relativity only accounts for 14" (about 1/3 of 43"). That leaves 28" to 29" unaccounted for in which the General Theory of Relativity triumphally is able to explain this. Let's examine if the Aether Stress Equation is able to do so as well. First of all, let's assume there is no relativistic affect. So, E = (1/2) mo v^2 - mo U, orbital mechanics equation L = mo v R, angular momentum, where E = total energy = constant mo = rest mass of Mercury v = speed of Mercury U = gravitational potential R = distance to the center of the sun at perihelion L = angular momentum = constant, then U = G M / R = (G M / L) mo v, where G = gravitational constant M = mass of the sun, thus E = (1 / 2) mo v^2 - (G M / L) mo^2 v Secondly, let's include relativistic effect of the mass. So, E = (m - mo) c^2 - mo U L = m v R, where m = relativistic mass of Mercury, then U = G M / R = (G M / L) m v = (1 + (1 / 2) v^2 / c^2) (G M / L) mo v, thus E = (1 / 2) mo v^2 - (1 + (1 / 2) v^2 / c^2) (G M / L) mo^2 v, in which The extra term, (1 / 2) (v^2 / c^2) (G M / L) mo^2 v, compared with non-relativistic study, obviously is what causes the 14" of precession. Lastly, let's examine the Aether Stress Equation as observed on Earth. So, E = (m - mo) c^2 - mo U L = m v R, then U = (1 + (1 / 2) v^2 / c^2) (G M / L) mo v, thus from c'^2 = c^2 + 2 U, E = (m - mo) c'^2 - (2 m - mo) U, or E = (1 / 2) (c'^2 / c^2) mo v^2 - (1 + v^2 / c^2) (1 + (1 / 2) v^2 / c^2) (G M / L) mo^2 v, or E = (1 / 2) mo v^2 - (1 + (3 / 2) v^2 / c^2) (G M / L) mo^2 v, in which The extra term, (3 / 2) (v^2 / c^2) (G M / L) mo^2 v, must be causing 3 times the precession of 14". The Aether Stress Equation does agree with the Theory of General Relativity on the unaccountable precession of Mercury's orbit's perihelion to the sun. |
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#2
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"Australopithecus Afarensis" wrote in message news:86sfb.46997$vj2.21813@fed1read06...
Hi Lucy, From the previously derived Aether Stress Equation, c'^2 = c^2 + 2 U, where c' = speed of light under no gravitational influence c = speed of lgiht under gravity U = gravitational potential In which direction is the the light going? Is it radial, or tangential? We discussed this before and you are not clear on the meaning of c' or c, so would you specify directions and magnitudes. Ken S. Tucker |
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#3
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"Australopithecus Afarensis" wrote in message news:86sfb.46997$vj2.21813@fed1read06...
From the previously derived Aether Stress Equation, c'^2 = c^2 + 2 U, where c' = speed of light under no gravitational influence c = speed of lgiht under gravity U = gravitational potential - - - The precession of Mercury's orbit around the sun is observed very accurately to be 5,600" (seconds) per century by astronomers through out several generations. Among those, 5,025" are due to the effect of equinox (inclination of Mercury's orbit), and 532" are the result of other planets. That leaves a tiny fraction of 43" unaccounted for. The Newtonian mechanics modified by the Principle of Relativity only accounts for 14" (about 1/3 of 43"). That leaves 28" to 29" unaccounted for in which the General Theory of Relativity triumphally is able to explain this. Let's examine if the Aether Stress Equation is able to do so as well. First of all, let's assume there is no relativistic affect. So, E = (1/2) mo v^2 - mo U, orbital mechanics equation L = mo v R, angular momentum, where E = total energy = constant mo = rest mass of Mercury v = speed of Mercury U = gravitational potential R = distance to the center of the sun at perihelion L = angular momentum = constant, then U = G M / R = (G M / L) mo v, where G = gravitational constant M = mass of the sun, thus E = (1 / 2) mo v^2 - (G M / L) mo^2 v Secondly, let's include relativistic effect of the mass. So, E = (m - mo) c^2 - mo U L = m v R, where m = relativistic mass of Mercury, then U = G M / R = (G M / L) m v = (1 + (1 / 2) v^2 / c^2) (G M / L) mo v, thus E = (1 / 2) mo v^2 - (1 + (1 / 2) v^2 / c^2) (G M / L) mo^2 v, in which The extra term, (1 / 2) (v^2 / c^2) (G M / L) mo^2 v, compared with non-relativistic study, obviously is what causes the 14" of precession. Lastly, let's examine the Aether Stress Equation as observed on Earth. So, E = (m - mo) c^2 - mo U L = m v R, then U = (1 + (1 / 2) v^2 / c^2) (G M / L) mo v, thus from c'^2 = c^2 + 2 U, E = (m - mo) c'^2 - (2 m - mo) U, or E = (1 / 2) (c'^2 / c^2) mo v^2 - (1 + v^2 / c^2) (1 + (1 / 2) v^2 / c^2) (G M / L) mo^2 v, or E = (1 / 2) mo v^2 - (1 + (3 / 2) v^2 / c^2) (G M / L) mo^2 v, in which The extra term, (3 / 2) (v^2 / c^2) (G M / L) mo^2 v, must be causing 3 times the precession of 14". The Aether Stress Equation does agree with the Theory of General Relativity on the unaccountable precession of Mercury's orbit's perihelion to the sun. xxein: Are you saying that it is still unaccountable? Kidding. |
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#4
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Since U = G M / r, where
r = distance away from the center of the sun Therefore, according to the Aether Stress Equation, the speed of light would decrease radially into the sun. c' is thus the speed of light in the interstellar space or intergalactic space. U, c, and c' are all scalars with c' being the constant according to the size of our universe. As our universe expands, c' would also increase. c(r) = c' sqrt(1 - 2 U(r) / c'^2) = c' sqrt(1 - 2 G M / (r c'^2)) With the Aether Stress Equation, I can explain everything which GR can except the deflection of a photon near the sun. This equation tells me a photon would not be deflected but shifted by (2 G M / c'^2 = 3,000m) instead as it leaves the sun. The amount of shifting is derived from Snell's Law as the speed of light decreases going into the vicinity of the sun and increases leaving the sun. Not by gravity because a photon has zero rest mass so no gravitational effect just the lens effect. In this way, both the energy and momentum are conserved unlike GR. With the Aether Stress Equation, I can also tie all four forces together and explain the history as well as the fate of our universe which GR fails on both accounts. * * * "Ken S. Tucker" wrote in message om... "Australopithecus Afarensis" wrote in message news:86sfb.46997$vj2.21813@fed1read06... Hi Lucy, From the previously derived Aether Stress Equation, c'^2 = c^2 + 2 U, where c' = speed of light under no gravitational influence c = speed of lgiht under gravity U = gravitational potential In which direction is the the light going? Is it radial, or tangential? We discussed this before and you are not clear on the meaning of c' or c, so would you specify directions and magnitudes. Ken S. Tucker |
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#5
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"Australopithecus Afarensis" wrote in message news:K%Gfb.47301$vj2.34526@fed1read06...
Since U = G M / r, where r = distance away from the center of the sun Therefore, according to the Aether Stress Equation, Lucy, you either prove to yourself that you are an extremely brilliant mathematical physicist able to displace the 1906 Theory of Relativity, that needs no Aether or move forward into the year 2003. the speed of light would decrease radially into the sun. c' is thus the speed of light in the interstellar space or intergalactic space. U, c, and c' are all scalars with c' being the constant according to the size of our universe. As our universe expands, c' would also increase. c(r) = c' sqrt(1 - 2 U(r) / c'^2) = c' sqrt(1 - 2 G M / (r c'^2)) This equation disagrees with GR. With the Aether Stress Equation, I can explain everything which GR can except the deflection of a photon near the sun. Thats because in GR c(r) = c*(1-2GM/rc^2) and does indeed predict the correct deflection. Ken S. Tucker ..... |
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#6
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In GR, the speed of light = c = 3e8m/sec. To balance Minkowski's Space-Time
Equation, it is necessary for Einstein to introduce time dilation and curved space. In my hypothesis, there is no time dilation nor curved space. To equation Minkowski's Space-Time Equation, the speed of light has to vary. This is worked out backwards. The expanding universe creates the Aether. Presence of rest mass stresses the Aether surrounding it. Since the speed of light is the property of the Aether, it varies according to how much the Aether is stressed. Conveniently, the gradient, del(c^2 / 2) = dU/dr, is the perceived gravitational force which only affect the rest mass. Gravity is the manifestation of the Aether. On the subject of the Aether, it does not have to be something of substance or tangible. The Aether I am describing is just simply the difference between the space inside of our universe and the space outside of our universe. Over time, the space inside our universe would have properties very close to the space outside of our universe. Remember that the property of Maxwell's Aether is c^2. c' (the speed of light in intergalactic space) is a far more important entity than what Einstein just called it another constant. Physicists even equate c = 1 or c' = 1 to my horror. c' started as (c' = 0+) infinite years ago and grows to be 3e8m/sec today. It will blossom to infinity infinite years from now. At one time or at some gravitational potential, the gravitational force dominates over all other forces because the speed of light is much lower. I'd rather be convinced by others to myself that I need to move forward into the year 2,003 and beyond than be regarded as the most brilliant theoretical physicist of all time posthumously. If any one can help me to move forward into the year 2,003 and beyond in a logical and scientifically conformed-to-2,003 way, I will be grateful. In the meantime, I have finished my white paper on this subject. Upon request, I can drop a pdf file into your email. * * * "Ken S. Tucker" wrote in message om... "Australopithecus Afarensis" wrote in message news:K%Gfb.47301$vj2.34526@fed1read06... Since U = G M / r, where r = distance away from the center of the sun Therefore, according to the Aether Stress Equation, Lucy, you either prove to yourself that you are an extremely brilliant mathematical physicist able to displace the 1906 Theory of Relativity, that needs no Aether or move forward into the year 2003. the speed of light would decrease radially into the sun. c' is thus the speed of light in the interstellar space or intergalactic space. U, c, and c' are all scalars with c' being the constant according to the size of our universe. As our universe expands, c' would also increase. c(r) = c' sqrt(1 - 2 U(r) / c'^2) = c' sqrt(1 - 2 G M / (r c'^2)) This equation disagrees with GR. With the Aether Stress Equation, I can explain everything which GR can except the deflection of a photon near the sun. Thats because in GR c(r) = c*(1-2GM/rc^2) and does indeed predict the correct deflection. Ken S. Tucker ..... |
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#7
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"Australopithecus Afarensis" wrote in message news:cq5gb.52656$vj2.8915@fed1read06...
Lucy please do not top post... In GR, the speed of light = c = 3e8m/sec. We discussed this before, in GR there is a vacuum speed of light commonly denoted c, a radial c(r) and a tangential c(t), why do I need to guess which you are referring too? To balance Minkowski's Space-Time Equation, it is necessary for Einstein to introduce time dilation and curved space. In my hypothesis, there is no time dilation nor curved space. To equation Minkowski's Space-Time Equation, the speed of light has to vary. It does in a g-field, and that's equivalent to time dilation and curvature. This is worked out backwards. The expanding universe creates the Aether. Presence of rest mass stresses the Aether surrounding it. Since the speed of light is the property of the Aether, it varies according to how much the Aether is stressed. Conveniently, the gradient, del(c^2 / 2) = dU/dr, is the perceived gravitational force which only affect the rest mass. Gravity is the manifestation of the Aether. On the subject of the Aether, it does not have to be something of substance or tangible. The Aether I am describing is just simply the difference between the space inside of our universe and the space outside of our universe. Over time, the space inside our universe would have properties very close to the space outside of our universe. Remember that the property of Maxwell's Aether is c^2. c' (the speed of light in intergalactic space) is a far more important entity than what Einstein just called it another constant. Physicists even equate c = 1 or c' = 1 to my horror. c' started as (c' = 0+) infinite years ago and grows to be 3e8m/sec today. It will blossom to infinity infinite years from now. At one time or at some gravitational potential, the gravitational force dominates over all other forces because the speed of light is much lower. I'd rather be convinced by others to myself that I need to move forward into the year 2,003 and beyond than be regarded as the most brilliant theoretical physicist of all time posthumously. If any one can help me to move forward into the year 2,003 and beyond in a logical and scientifically conformed-to-2,003 way, I will be grateful. In the meantime, I have finished my white paper on this subject. Upon request, I can drop a pdf file into your email. Set up a link for all to view, that way, if my comments are untrue, they will be critcized. My personal point of view is rather unimportant left uncriticized. Ken S. Tucker * * * "Ken S. Tucker" wrote in message . com... "Australopithecus Afarensis" wrote in message news:K%Gfb.47301$vj2.34526@fed1read06... Since U = G M / r, where r = distance away from the center of the sun Therefore, according to the Aether Stress Equation, Lucy, you either prove to yourself that you are an extremely brilliant mathematical physicist able to displace the 1906 Theory of Relativity, that needs no Aether or move forward into the year 2003. the speed of light would decrease radially into the sun. c' is thus the speed of light in the interstellar space or intergalactic space. U, c, and c' are all scalars with c' being the constant according to the size of our universe. As our universe expands, c' would also increase. c(r) = c' sqrt(1 - 2 U(r) / c'^2) = c' sqrt(1 - 2 G M / (r c'^2)) This equation disagrees with GR. With the Aether Stress Equation, I can explain everything which GR can except the deflection of a photon near the sun. Thats because in GR c(r) = c*(1-2GM/rc^2) and does indeed predict the correct deflection. Ken S. Tucker |
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#8
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Come on, Ken. You are turning the speed of light, which has been regarded
as a scalar ever since I don't remember when in the history of science, into a vector!!! I can sort of follow what you are saying because of the curvature of space introduced by GR which can result in a radial velocity of the speed of light into the geometric center of the curved space and the tangential component of the speed of light along the geodesic (one of the tall words invented by GR to deify the priesthood governing the faith created by Einstein). Although we have exact equation regarding c(r), my equation is strictly applied to the speed of light in the scalar form in which it is very much tangible and very Euclidean that you and I can detect, measure, and feel. It is the way physics is supposed to be through observation according to our intellects. As Dirk has pointed out, I am trained as an engineer by profession. In my career, I have examined and modified quite a few engineering systems into something a lot simpler than the initial design which is extremely eye-popping to the original designer. In this problem of GR versus gravity deal, I do see the same tend. It is nothing new to me. Perhaps, that is why all things are getting simpler. Have you hear what Feynman said? "You can recognize truth by its beauty and simplicity. When you get it right, it is obvious that it is right -- at least if you have any experience -- because usually what happens is that more comes out than goes in... The inexperienced, the crackpots, and people like that, make guesses that are simple, but you can immediately see that they are wrong, so that does not count. Others, the inexperienced students, make guesses that are very complicated, and it sort of looks as if it is all right, but I know it is not true because the truth always turns out to be simpler that you thought..." In my humble career, I have done just exactly what he was saying. I even tried to live a very simple life with great success until I got married. Now, my wife is expecting twins. I am still expecting and pursuing simplicity to my life. * * * "Ken S. Tucker" wrote in message om... "Australopithecus Afarensis" wrote in message news:cq5gb.52656$vj2.8915@fed1read06... Lucy please do not top post... In GR, the speed of light = c = 3e8m/sec. We discussed this before, in GR there is a vacuum speed of light commonly denoted c, a radial c(r) and a tangential c(t), why do I need to guess which you are referring too? To balance Minkowski's Space-Time Equation, it is necessary for Einstein to introduce time dilation and curved space. In my hypothesis, there is no time dilation nor curved space. To equation Minkowski's Space-Time Equation, the speed of light has to vary. It does in a g-field, and that's equivalent to time dilation and curvature. This is worked out backwards. The expanding universe creates the Aether. Presence of rest mass stresses the Aether surrounding it. Since the speed of light is the property of the Aether, it varies according to how much the Aether is stressed. Conveniently, the gradient, del(c^2 / 2) = dU/dr, is the perceived gravitational force which only affect the rest mass. Gravity is the manifestation of the Aether. On the subject of the Aether, it does not have to be something of substance or tangible. The Aether I am describing is just simply the difference between the space inside of our universe and the space outside of our universe. Over time, the space inside our universe would have properties very close to the space outside of our universe. Remember that the property of Maxwell's Aether is c^2. c' (the speed of light in intergalactic space) is a far more important entity than what Einstein just called it another constant. Physicists even equate c = 1 or c' = 1 to my horror. c' started as (c' = 0+) infinite years ago and grows to be 3e8m/sec today. It will blossom to infinity infinite years from now. At one time or at some gravitational potential, the gravitational force dominates over all other forces because the speed of light is much lower. I'd rather be convinced by others to myself that I need to move forward into the year 2,003 and beyond than be regarded as the most brilliant theoretical physicist of all time posthumously. If any one can help me to move forward into the year 2,003 and beyond in a logical and scientifically conformed-to-2,003 way, I will be grateful. In the meantime, I have finished my white paper on this subject. Upon request, I can drop a pdf file into your email. Set up a link for all to view, that way, if my comments are untrue, they will be critcized. My personal point of view is rather unimportant left uncriticized. Ken S. Tucker * * * "Ken S. Tucker" wrote in message . com... "Australopithecus Afarensis" wrote in message news:K%Gfb.47301$vj2.34526@fed1read06... Since U = G M / r, where r = distance away from the center of the sun Therefore, according to the Aether Stress Equation, Lucy, you either prove to yourself that you are an extremely brilliant mathematical physicist able to displace the 1906 Theory of Relativity, that needs no Aether or move forward into the year 2003. the speed of light would decrease radially into the sun. c' is thus the speed of light in the interstellar space or intergalactic space. U, c, and c' are all scalars with c' being the constant according to the size of our universe. As our universe expands, c' would also increase. c(r) = c' sqrt(1 - 2 U(r) / c'^2) = c' sqrt(1 - 2 G M / (r c'^2)) This equation disagrees with GR. With the Aether Stress Equation, I can explain everything which GR can except the deflection of a photon near the sun. Thats because in GR c(r) = c*(1-2GM/rc^2) and does indeed predict the correct deflection. Ken S. Tucker |
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#9
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"Australopithecus Afarensis" wrote in message news:E8sgb.52938$vj2.42004@fed1read06...
((lucy I thought you we're a girl, congrads on your wife expecting twins...I guess you have sperm squared)). Allow me to top post...as you do... First this is nearly right, then this is almost wrong, next, I might agree with this, and I think this is way out. KST Come on, Ken. You are turning the speed of light, which has been regarded as a scalar ever since I don't remember when in the history of science, into a vector!!! I can sort of follow what you are saying because of the curvature of space introduced by GR which can result in a radial velocity of the speed of light into the geometric center of the curved space and the tangential component of the speed of light along the geodesic (one of the tall words invented by GR to deify the priesthood governing the faith created by Einstein). I know a lot more about relativity than Einstein, (he passed away in 1955), and I respect his basic developements. I've been able to improve some of the technical mathematical details, so that some awkward math (circa 1914) can be improved. But his application of tensors to Newtons g-field was first class. |
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