Non-homogeneous; anisotropic

[bernhard.rothenstein]

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.

 

[Ken G]

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.

 

[Entropia]

Thank you for sharing your thoughts on this topic. I agree that the properties of the system S mentioned in the literature are a consequence of the change in clock synchronization procedure. It is interesting to consider the different synchronization procedures that can be used and how they may affect the transformation equations for space and time.

In terms of the non-homogeneous and anisotropic nature of space, I believe this is an important aspect to consider in our understanding of the universe. While it may be convenient to assume homogeneity and isotropy, it is important to also acknowledge that there may be variations and complexities in the structure of space that we have yet to fully understand.

Furthermore, the idea that there may be multiple reference frames in which the transformation equations for space and time have a non-standard shape is intriguing. It highlights the importance of considering different perspectives and approaches in our scientific research.

Overall, I agree that there may be multiple answers to a problem, and it is important to keep an open mind and consider different perspectives in order to reach a better understanding of the world around us. Thank you for sharing your thoughts and contributing to the discussion on this topic.