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On Sep 30, 12:33*pm, GSS wrote:
On Sep 30, 9:02*pm, glird wrote: On Aug 31, 9:53*am, GSS wrote: In classical physics, the notion of time, as a measure of change, is an absolute measure independent of position coordinates or reference frames. However, in relativity the second postulate has rendered the notion of time as a relative measure, dependent on the position coordinates as well as the state of motion of the reference frame. It was neither postulate 1 or 2; it was Einstein's method of setting clocks to MEASURE the time it takes a ray of light to travel from A to B and back again the same each way. *THAT method of esynching clocks (which he defined as "synchronism") is why the time of a given system is dependent on the position of a clock in a given system and the state of motion (whether known or not) of that system. No, in my opinion, Einstein's synchronization procedure was defined that way in order to sustain the second postulate. Agreed. Even so, it wasn't the postulate that light travels at c in empty space, it was that method of setting clocks that "rendered the notion of time as a relative measure, dependent on the position coordinates as well as the state of motion of the reference frame." glird |
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On Wed, 30 Sep 2009 09:33:31 -0700 (PDT), GSS
wrote: On Sep 30, 9:02*pm, glird wrote: On Aug 31, 9:53*am, GSS wrote: In classical physics, the notion of time, as a measure of change, is an absolute measure independent of position coordinates or reference frames. However, in relativity the second postulate has rendered the notion of time as a relative measure, dependent on the position coordinates as well as the state of motion of the reference frame. * It was neither postulate 1 or 2; it was Einstein's method of setting clocks to MEASURE the time it takes a ray of light to travel from A and b and back again the same each way. *THAT method of esynching clocks (which he defined as "synchronism") is why the time of a given system is dependent on the position of a clock in a given system and the state of motion (whether known or not) of that system. glird No, in my opinion, Einstein's synchronization procedure was defined that way in order to sustain the second postulate. He knew he could get away with it because Ritz had convinced him that there was no aether and light was ballistic....but Ritz died and Einstein made more money by selling his own crappy theory to a bunch of opportunistic idiots like those who support him here. GSS Henry Wilson...www.scisite.info/index.htm Einstein...World's greatest SciFi writer.. |
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On Sep 30, 7:46 pm, funkenstein wrote:
On Sep 29, 7:43 pm, GSS wrote: .... Friends, On the issue of detection of absolute motion in space, I assume that by "absolute motion in space" you mean "motion relative to the space-time medium". Motion is ALWAYS relative so "absolute" is the wrong word to use. There is no such physical entity as space-time medium. The notion of spacetime continuum, as used in Relativity, is only a mathematical construct. In this regard kindly refer to my original post under this thread and also refer to: http://sites.google.com/a/fundamenta...attredirects=0 through measurement of tiny differences in the up-link and down-link signal propagation times between two 'fixed' points, I had prolonged discussions with Craig Markwardt. Apart from a few 'harsh' comments, the discussions were generally pleasant and useful. The fact that he did not refute my final arguments on the issue implies that he conceded my viewpoint regarding invalidation of second postulate of SR. Any Relativity expert who does not agree with my viewpoint presented in my last post of Aug 31, is welcome to give a detailed justification for any disagreement. During my discussions with Craig, I got the impression that a lot of confusion prevails in Relativity regarding the notion of instantaneous time readouts of digital atomic clocks, especially when these clocks are "stationary" or in "motion" in different reference frames. Regarding the notion of *stationary system* Einstein makes it clear in the opening part of his 1905 paper "On the Electrodynamics of Moving Bodies". [Let us take a system of co-ordinates in which the equations of Newtonian mechanics hold good. In order to render our presentation more precise and to *distinguish this system of co-ordinates verbally from others* which will be introduced hereafter, we call it the ''stationary system.'' ] As per Relativity, all Inertial Reference Frames (IRF) in relative uniform motion, constitute a Group of equivalent reference frames. No particular member of this group can be considered special or preferred or unique. Hence, out of this group of IRF in relative uniform motion, there is no particular IRF which is designated as ''stationary system.'' On the other hand, as per the term used by Einstein, while comparing two or more IRF, any one of the IRF could be *called* the ''stationary system'' to distinguish it verbally from others. Therefore, as per Einstein's usage of the term, at any time, any one of the BCRF, GCRF and the Galactic Reference Frame could be *called* the ''stationary system''. Further, as per Einstein, [We have so far defined only an ''A time'' and a ''B time.'' We have not defined a common ''time'' for A and B, for the latter cannot be defined at all unless we establish by *definition* that the ''time'' required by light to travel from A to B equals the ''time'' it requires to travel from B to A. Let a ray of light start at the ''A time'' t_A from A towards B, let it at the ''B time'' t_B be reflected at B in the direction of A, and arrive again at A at the ''A time'' t'_A. ] [In accordance with definition the two clocks synchronize if t_B - t_ A = t'_A - t_B.] [It is essential to have time defined by means of stationary clocks in the stationary system, and the time now defined being appropriate to the stationary system we call it "the time of the stationary system."] This notion of "time of the stationary system" implies the fixed location of identical clocks at all points of space and synchronized in accordance with Einstein synchronization convention. Let us designate the "stationary system" defined above as inertial reference frame K, in which the two clocks located at points A and B, separated by constant distance D, are "stationary". Therefore, as per the definition of the time of the stationary system K, t_B - t_ A = t'_A - t_B However, in relativity, most often the symbol t is used to depict the instantaneous time of a "stationary" clock and t' is used to depict the instantaneous time of a "moving" clock. To avoid any ambiguity in subsequent discussions, we shall use the symbol T (in place of t') to depict the instantaneous time of a "moving" clock. Further, in such time depiction, we shall also include the notation of the IRF in which the position and velocity of the clock is referenced, such as t(K) or T(K) for the times of stationary and moving clocks in reference frame K. Now consider two spacecraft A and B, separated by distance D, and moving in reference frame K with a common velocity U along AB. Let us assume that both spacecraft are fitted with ultra-stable identical precision atomic clocks, which have been perfectly synchronized to UTC time standard. Let a signal pulse be transmitted from spacecraft A (moving clock) at time T_A(K) towards B. Let this pulse reach B at time T_B(K) and get reflected back to reach A at time T'_A(K). Then the up-link (Tu) and down-link (Td) signal propagation times are given by, Tu = T_B(K) - T_A(K) ........ (1) Td = T'_A(K) - T_B(K) ......... (2) Considering the fact that during up-link signal propagation time Tu, the spacecraft B moves ahead by distance U*Tu, we get the total up- link signal path as, D + U*Tu = c*Tu ......... (3) Similarly, considering the fact that during down-link signal propagation time Td, the spacecraft A moves ahead by distance U*Tu, we get the total down-link signal path as, D - U*Td = c*Td ......... (4) Subtracting equation (4) from (3), we get c*(Tu - Td) = U*(Tu + Td) .... (5) Or (Tu - Td) = (U/c)*(Tu + Td) .... (6) and U/c = (Tu - Td)/(Tu + Td) .... (7) It is important to note here that T_A(K) and T_B(K) are the instantaneous time readouts of atomic clocks A and B which are "moving" in reference frame K with a velocity U along direction AB. Since these are the readouts of "moving" clocks, the up-link and down- link signal propagation times Tu and Td given by equations (1) and (2) are not expected to be equal. As per Relativity, the instantaneous time readouts of "moving" clocks can be transformed to the corresponding time readouts of "stationary" clocks in reference frame K, through Lorentz Transformation (LT). t_A(K) = LT{T_A(K)} t_B(K) = LT{T_B(K)} t'_A(K) = LT{T'_A(K)} ...... (8) Now in accordance with Einstein convention for synchronization of "stationary" clocks t_B(K) - t_ A(K) = t'_A(K) - t_B(K) ...... (9) We can attach an inertial reference frame K1 with the two spacecraft A and B, which are moving in reference frame K, such that their separation distance D remains constant. In K1 frame the two spacecraft clocks can be regarded as fixed or "stationary" and their instantaneous time readouts corresponding to T_A(K), T_B(K) and T'_A (K) can be written as t_A(K1), t_B(K1) and t'_A(K1) respectively. Again as per Relativity, the instantaneous time readouts of "stationary" clocks in inertial reference frame K1 can be transformed to the corresponding time readouts of "stationary" clocks in reference frame K, through Lorentz Transformation. t_A(K) = LT{t_A(K1)} t_B(K) = LT{t_B(K1)} t'_A(K) = LT{t'_A(K1)} ...... (10) However, the Lorentz Transformations (8) and (10) correspond to the same physical situation in which the instantaneous digital time readouts of clocks A and B are transformed to the corresponding timings of the "stationary" clocks in reference frame K. That implies the identity of instantaneous digital time readouts of the clocks considered "moving" in reference frame K and "stationary" in reference frame K1. As such, T_A(K) = t_A(K1) T_B(K) = t_B(K1) T'_A(K) = t'_A(K1) ........ (11) Further, as per Einstein's *definition* of time in a "stationary system", the up-link and down-link signal propagation times are *assumed* to be equal in reference frame K1. Therefore, t_B(K1) - t_ A(K1) = t'_A(K1) - t_B(K1) ...... (12) As noted earlier, for the time readouts of "moving" clocks, the up- link and down-link signal propagation times Tu and Td given by equations (1) and (2) are not expected to be equal. T_B(K) - T_A(K) T'_A(K) - T_B(K) ..... (13) Or Tu - Td 0 And U/c = (Tu - Td)/(Tu + Td) .... (7) Equations (11), (12) and (13) bring out a devastating contradiction that the signal propagation times Tu and Td are supposed to be equal (equation (12)) when the clocks A and B are considered "stationary" in reference frame K1 but are supposed to be un-equal (equation (13)) when the same clocks are viewed as "moving" in reference frame K. Not so. You need to be more specific what you mean by D. It looks like you want to use a Lorentzian relativity in which the space-time medium is specifically considered, and calculations are carried out from the rest frame of said medium, in which the speed of light is c. If so, the distance D' between these spacecraft in the rest frame of the medium is a function of the distance measured in the moving frame Distance D between points A and B is assumed to be constant during the period of test. For example distance D between two mobile communication towers can be considered as constant or fixed. For the proposed test, we don't need to make any measurement of this distance. Even if you wish to employ the notion of Lorentz contraction of length in different inertial reference frames in relative uniform motion, it will make no difference to the computations given above. For the sake of argument, assume that distance D in the local or the laboratory frame *becomes* or *appears to be* D' in reference frame K such that we can write D' = D(K). Now, when the clocks A and B are viewed as "moving" clocks in reference frame K, if we replace the term D in equations (3) and (4) above with D(K), the result given by equations (6) and (7) will still remain the same. That is because the terms D or D(K) get canceled out and do not affect the result of the proposed experiment. GSS (using a light reflection) and also on the speed through the medium. You'll find that in the end the speed of the medium will cancel out and is not detectable. This medium is indeed superfluous in such relativistic calculations, including it also works to match predictions but is clumsy and adds work. Cheers - |
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![]() Henry Wilson DSc wrote: On Wed, 30 Sep 2009 09:33:31 -0700 (PDT), GSS wrote: On Sep 30, 9:02 pm, glird wrote: On Aug 31, 9:53 am, GSS wrote: In classical physics, the notion of time, as a measure of change, is an absolute measure independent of position coordinates or reference frames. However, in relativity the second postulate has rendered the notion of time as a relative measure, dependent on the position coordinates as well as the state of motion of the reference frame. It was neither postulate 1 or 2; it was Einstein's method of setting clocks to MEASURE the time it takes a ray of light to travel from A and b and back again the same each way. THAT method of esynching clocks (which he defined as "synchronism") is why the time of a given system is dependent on the position of a clock in a given system and the state of motion (whether known or not) of that system. glird No, in my opinion, Einstein's synchronization procedure was defined that way in order to sustain the second postulate. He knew he could get away with it because Ritz had convinced him that there was no aether and light was ballistic....but Ritz died and Einstein made more money by selling his own crappy theory to a bunch of opportunistic idiots like those who support him here. Ralph is back to lies on this thread. GSS Henry Wilson...www.scisite.info/index.htm Einstein...World's greatest SciFi writer.. |
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On Oct 3, 10:34 am, ASS wrote:
In this regard I have already shown that out of a group of inertial reference frames in relative uniform motion, the speed of light propagation c can be an isotropic constant in only one of them, Imbecile. Persistent. |
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On Oct 4, 1:27 am, "Dono." wrote:
On Oct 3, 10:34 am, GSS wrote: .... In this regard I have already shown that out of a group of inertial reference frames in relative uniform motion, the speed of light propagation c can be an isotropic constant in only one of them, ..... A digital atomic clock, which is "stationary" in its local or laboratory reference frame (say K1) on earth, can be viewed as in "motion" in BCRF (say K2) as well as in the Galactic reference frame (say K3). If at any instant we obtain a digital time readout of t1, then this physical measurement will correspond to the instantaneous reading of a "stationary" clock in reference frame K1 as well as the instantaneous reading of a "moving" clock in reference frames K2 and K3. Similarly, when we measure the up-link (Tu) and down-link (Td) signal propagation times between two clocks A and B, which are "moving" at velocity U2 along AB in reference frame K2, then it can be easily shown that, U2/c = (Tu - Td)/(Tu + Td) ....... (1) But the same two clocks can be simultaneously viewed as "moving" at velocity U3 along AB in reference frame K3, and hence it can be easily shown that, U3/c = (Tu - Td)/(Tu + Td) ...... (2) However, equations (1) and (2) cannot both be valid simultaneously because U2 U3. This contradiction brings us to the conclusion that the speed of light propagation c cannot be an isotropic constant in more than one inertial reference frames in relative uniform motion. And the reference frame in which the speed of light propagation is an isotropic constant is referred as absolute or universal reference frame. For detailed analysis on this issue, kindly refer to sections 2 and 3 of the following article. https://sites.google.com/a/fundament...attredirects=0 GSS |
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