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Dear Daryl:
Thanks for the clarification, and I understand the cosmic time and cosmic expansion used in standard cosmology as you mentioned:
"The standard model assumes maximally symmetric space that expands in cosmic time, which is, moreover, the proper time of all fundamental observers. Those *are" the basic axioms of standard cosmology, so to say that it only assumes maximal symmetry of space, or that maximal symmetry and cosmic time are mutually exclusive, is just wrong."
However, my point is that the fundamental assumption of "a synchronous time and clock in the entire universe" adopted by Standard Cosmology is directly in violation of the relativity of space and time and non-synchronicity of time at varying relativistic velocities (from near-field to far-field universe) demonstrated by the relativity theory. This assumption only holds approximately true in the near-field universe wherein the radial expansion velocities of the galaxies are small (V much less than C) compared to the speed of light because the relativistic effects are small. However, as my paper shows that in the far-field, wherein the velocities are large (V close to C), the standard cosmology deviates from predictions of the supernova observations resulting in the unexplained and paradoxical dark energy. The error results from the fact that at large velocities (V=C), both the space and time dilate to zero stopping the clock and dissolving any cosmic time. Hence, the fundamental assumption of a standard or proper cosmic time cannot be imposed on the far-field universe and must be corrected to eliminate the current inconsistencies and paradoxes that are artifacts of the basic axioms of the standard cosmology.
Thanks for being patient as we are investigating the fundamental assumptions that are wrong in this forum.
Regards
Avtar