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|    Message 17,363 of 17,516    |
|    Robert Winn to All    |
|    Galilean explanation of time    |
|    10 Feb 24 10:09:25    |
      From: rbwinn3@gmail.com              One of the problems of science today is misconception of time,       presenting time as a sort of force that contracts lengths, curves space,       and distorts mathematics. Time is not a force. It is a measurement of       events. So let us consider time as shown by the Galilean transformation       equations.       x'=x-vt       y'=y       z'=z       t'=t       The problem scientists have with the Galilean transformation equations       is the last equation, t'=t, because they do not see it as providing for       the result of the Michelson-Morley experiment. The disagreement with       these equations can be shown by the example of a clock in a flying       airplane. Einstein says in his Special Theory that the time of that       clock would be slower than the time of a clock on the ground.       Scientists then experimented with clocks in airplanes and found that       they did indeed have slower rates than a clock on the ground. Then       Hafele and Keating experimented with cesium clocks flown on       transcontinental jet flights and said that their experiment had shown       that if an airplane flew around the earth one way, the clocks would be       slower, but if flown around the earth the other way, the clocks would be       faster. They attributed the slower clocks to the effects of Special       Relativity and the faster clocks to the effects of General Relativity.       Then GPS satellites were put in orbit, and a clock in a GPS satellite is       faster than a clock on earth, and scientists once again found a way to       determine the time of a GPS satellite clock by combining the perceived       effects of Special and General Relativity. But it would appear that       there is a simpler way to describe all of these times. Just because       Isaac Newton described time in his theory of gravitation as being       absolute does not mean he could not have worked the problem Einstein       claimed to have solved with the Lorentz equations. My own opinion is       that Newton was a good enough mathematician that he would have       considered the problem a different way and worked it with the       transformation equations he always used, the Galilean transformation       equations. There have always been faster and slower clocks. Scientists       of the times of Galileo and Newton did not have any problem representing       these times with the Galilean transformation equations. If a clock or       any other rate of time was faster or slower than the rate of a clock       that agreed with the rotation of the earth, which was considered the       standard of time when those scientists were alive, represented by the       equation t'=t, then those scientists would have just shown another set       of Galilean transformation equations with different variables for       velocity and time. So to represent the time of a clock in an airplane,       the inverse Galilean transformation equations would be       x = x' - (-vt/n')n'       y = y'       z = z'       n = n'       n' is the time of the faster or slower clock in the airplane, (-vt/n')       is the velocity of the ground relative to the airplane. and n=n' shows       that the time of the clock that shows n' is being used in both frames of       reference. So now we can show the results of the Michelson-Morley       experiment using the Galilean transformation equations. All we have to       do is to say that x=ct and x'=cn' instead of saying that x=ct and x'=ct'       the way Lorentz and Einstein did. Then according to the Galilean       transformation equations       x'=x-vt       cn' = ct-vt       n' = t-vt\c       This value for n' is actually the same as the numerator for Lorentz's equation       for t'.       t-vt/c = t-vct/c^2 = t-vx/c^2       However, there is no need for the x in this expression in the Galilean       transformation equations because there is no length contraction. The       spatial coordinates are the same in both sets of equations. To show       this, we just cancel out the (n')'s in the inverse equations, and we       have our original Galilean transformation equations.       x = x' - (-vt/n')n'       x = x' + vt       t = t'       To show how this relates to gravitation, we consider the orbits of the       planets in our solar system. Mercury is the planet that is orbiting the       fastest, being the closest to the sun, its velocity being 30 miles per       second. A clock on Mercury would be slower than a clock on earth       because earth has a slower velocity in its orbit, 20 miles per second.       But what scientists do not seem to have realized is that if we compute       n' for the time on Mercury, we are not computing it from time on earth.       Earth is the third planet from the sun, and there would be an n' for       earth's clock derived from a clock that shows t that applies to all       planets, asteroids, etc., in the solar system. To imagine this common       clock, we go out through the planets, each having a faster clock than       the planets closer to the sun, until we run out of planets and other       things that are orbiting the sun. Then we are at a point, say halfway       to the nearest star, where the gravitation of the sun is of no effect,       and a clock at that point is faster than a clock on any planet in our       solar system. If we say that the time of that clock is t, then we can       calculate the time of a clock on any planet by the Galilean       transformation equations if the velocity of the planet is shown as v       according to the time of the clock halfway to the nearest star. So then       the speed of earth in its orbit would not be v, but (vt/n'), where v is       the velocity of earth's orbit computed from the outer space clock, t is       the time of the outer space clock, and n' is the time of a GPS clock on       earth. I hope this description of time can help scientists visualize       how time relates to motion and gravitation.       Robert B. Winn              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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