Mowgli wrote:Going back to the original topic of this thread, is SR a scientific theory, which "is a mathematically formalized expression which relates observables, is self consistent, logical, testable, falsifiable, and predictive," I think SR fails self-consistency (same as logical, is it not?) and falsifiability.
According to SR time dilation, each observer will have his clock running faster than all other observers in relative uniform motion. If you and I are moving wrt each other, your clock runs slow wrt mine and mine runs slow wrt yours. Not quite logical.
This logical inconsistency cannot falsify the theory because, in order to compare clocks, you have to accelerate/decelerate at least one of the frames thereby making it non-inertial and beyond the scope of the theory.
Actually, this
can be falsified. Imagine a situation something like this:
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A1 A2
B1 B2
where A1, A2, B1 and B2 are all seperate clocks. A1 and A2 are moving to the right at a substantial fraction of c. Since clocks within a frame can be synchronised, A1 and A2 can be synchronised in frame A, while B1 and B2 can be synchronised in frame B.
It is also possible to compare clocks in different frames if they are in the same place. (If nothing else, you can ask an observer at A2 "when did B1 pass you?" and ask the observer at B1 "when did A2 pass you?"). Thus, A2 can be compared with first B1 and then B2, while B1 can be compared with first A2 and then A1. This is somewhat complicated by the lack of universal simultaneity, which will mean that frames A and B will not agree on whether clocks A1 and A2 are synchronised.
I must say, I think your passage on the directionality of time is very well written.