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Einstein's Relativity is charaterized by dubious postulates, physics, mathematics, and logic, which produces a crop of paradoxes. It cannot be reconciled with Galilean-Newtonian relativity or with any other laws of classical physics.

Starlight from distant stars is dimmer than light from nearby stars. But increasing distance is not the only factor responsible for dimming. Of these other factors one is particularly important: Some of the radiation from distant stars plunges into bodies of matter and never reaches us. When this fact is taken into account, Olbers' paradox is resolved.

If inertial effects are merely gravitational effects (the Berkeley-Mach hypothesis), and if the laws of nature are the same everywhere (the costnological principle), it seems probable that (1) the universe is infinitely great, is not expanding, and is neither open nor closed (2) the cosmic redshift is not a Doppler effect (3) the hypothetical big bang did not occur. Two important words: seems probable.

Could it be that the 2.7?K ?cosmic? radiation is not really cosmic and actually originates in the apparatus that measures it?

Though used with precision, time is often call a mystery.  The paradox is resolve by a theoretical conclusion: time is a general property of matter, described by the law that all isolated material changes occur (or would occur) in invariant ratios to each other.  The law of time is a corollary of the first law of thermodynamics.