The dimension of time is no more observed as a dimension than a fourth spatial dimension would be. In both cases we are talking about something unobserved. The time dimension implies that all past and future events exist in the overall fabric of nature as a container of all events. Noone has seen that container, yet we accept it without the slightest question because it is mathematically expedient that we do.
In quantum mechanics we also depend on implied unobservable force carriers. None has ever been seen, but we accept them because they are mathematically expedient.
In the extension of general relativity we accept another pair of unobservable phenomena--dark matter and dark energy. These phenomena have never been seen, THESE PHENOMENA ACCOUNT FOR A VAST MAJORITY OF THE MATTER AND ENERGY IN UNIVERSE, YET THEY ARE UNOBSERVED, but we include them in our theories because they are mathematically expedient.
I'll admit that my theory purports an unobservable dimension, but so has every theory submitted to date.


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