It is said that Special Relativity has been proved in experiments, e.g. time dilation experiments (particle decays in accelerators, atomic clocks on planes). But all such experiments include non-uniform motion and give asymmetric results. However, Special Relativity predicts reciprocal time dilation between relatively moving inertial systems. Therefore, this particular aspect of the theory has never been specifically tested. This can only be done by performing experiments on inertially moving systems, to factor out non-inertial effects (I propose a suitable modification of the accelerator experiment). If the results are indistinguishable from those of the previous experiments (with non-uniform motion), then it must be accepted that inertial motion has asymmetric time dilation, and so Special Relativity is refuted. According to my Theory of Machian Relativity (which modifies Special Relativity by including the relative effects of mass in the universe), symmetric time dilation does not exist, and the dilation during inertial motion is always asymmetric.
So my question is - where is the unambiguous experimental evidence for symmetric time dilation during inertial motion? Have any experiments been performed to look for it? In other words, if inertial motion has reciprocal dilation and acceleration has asymmetric dilation, have scientists proposed experiments to differentiate the two effects? If the answer is "Yes there is evidence", then the whole world needs to hear about it, and all physics books should be reprinted to include this data.
If the answer is "No there isn't evidence", then the experiments need to be done. But if the possibility of such experiments is denied, such as "symmetric and asymmetric results cannot be differentiated" or "inertial motion can never be achieved", then Special Relativity cannot be falsified and so violates Popper's Principle. For physicists to claim that relatively moving inertial clocks work slower than each other is an extraordinary claim, and extraordinary claims require extraordinary levels of proof.
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