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Fig. 4: Explanation of the cosmic time

In his Special Theory of Relativity (STR), Einstein had, in 1905 already, coercively explained, the Newton time must necessarily be flexibilized if one consequently adheres to the constancy of the speed of light. It remains a miracle why he did not consequently apply those relations so clearly formulated in the STR, to the GTR as well. Supposedly, the reason was, nobody could know at that time about the property of the space – time continuum. Is it positively or negatively curved or plane?
Now, the time metric depends decisively on the curvature of the space- time or, respectively, on the delay parameter q of the cosmic expansion.For a (hypothetical) universe expanding at constant speed ( Fig. 2, limit case I, q = 0, the Newton time would be identical with the cosmic time  [9]. At an increasing delay parameter q, the difference between the cosmic and the Newton time also increases all the more. For a plane universe (Fig. 2, limit case III, q = ½), the cosmic time limps behind the Newton time by about 1 millisecond per year. Therefore, the „normal physics” will not change if we replace the Newton time by the cosmic time. The difference between these two time scales, however, gains decisive importance if we try to comprehend the processes in the early universe.
While the STR relates the time to the relative speed v at which 2 systems of reference move to each other ( Fig. 5 a), the CTH relates the time scale in dependency on the world age (Fig. 5 b)
 
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