Is Space Truly Homogeneous and Isotropic?

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SUMMARY

The discussion centers on the nature of space being homogeneous and isotropic, particularly in the context of the reference frame S(0). Observers at rest in S(0) experience light traveling at velocity "c" in all directions, allowing for synchronized clocks and consistent two-way light velocities across inertial systems. The conversation highlights the implications of clock synchronization procedures and the potential for multiple reference frames that adhere to Einstein's principles, suggesting that some postulates in relativity may not be directly supported by observations but rather reflect subjective interpretations. The need for clarity in distinguishing between observational support and theoretical conventions in relativity texts is emphasized.

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  • Understanding of Einstein's theory of relativity
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bernhard.rothenstein
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i find in the literature
1. space is homogeneous and isotropic and time homogeneous, at least if judged by observers at rest in S(0).
2. in the isotropic system S(0) the velocity of light is "c" in all directions, so that clocks can be synchronized in S(0) and one way velocities relative to S(0) can be measured.
3. the two way velocity of light is the same in all directions in all inertial systems.
4. clock retardation takes place with the usual velocity dependent factor when clocks move with respect to the isotropic reference frame S(0).
In my oppinion the properties of the system S mentioned above are merely the consequence of the fact that a change in the clock synchronization procedure takes place and given that there are many synchronization procedures which are in accordance wirh Einstein's one, there are many S reference frames in which the transformation equations for space and time have a non=-standard shape?
Your oppinion is highly appreciated.
Thanks in advance.
I have learned from somewhere that each problem has three answers:
mine, yours and a third which is the correct one.
 
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Yes, I think you are pointing out that some of those postulates are not directly supported by observations, they are merely consistent with observations. Hence they reflect a certain bias on the part of the scientist to build a system with certain pleasing traits. Some might say that's just applying Occam's razor to what agrees with the data, others say Occam's razor is subjective and it's still just reflecting prejudice about what "simplest" means. Personally I think it is useful to separate what is actually directly supported by observation from what is only one out of a class of interpretations or conventions that relativity could use and still work fine. It sounds like you are complaining that this separation is not made clear in most relativity texts, and I think you are right about that.
 

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