Dale
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OK, so from this it sounds like you understand LET and SR to be experimentally indistinguishable interpretations of the same structure, the Lorentz transforms.Tam Hunt said:It's important to be clear that every physical theory has two components: the mathematical formalism and the interpretation of the formalism. I highlighted the fact in my first post that LET and SR are empirically equivalent - due to the fact they are essentially equivalent in their formalisms.
I fall into the second camp, largely because I doubt that any of the interpretations are "true" and all of the interpretations "work". So I tend to learn all of the interpretations and use each when it suits me. They don't change the math at all, they just help to organize my thoughts. I shamelessly use LET when talking about relativistic Doppler, because the correlation with sound waves keeps my thoughts organized. I tend to use SR for everything else because other than Doppler the aether just gets in the way for me.Tam Hunt said:So what is not equivalent is the interpretation of the formalisms, that is, what is the physical reality described by the formalisms? This is what is most important to me, though perhaps for many physicists such issues are not particularly important as long as "the math works."
YOU might want to make that choice and YOU would be perfectly justified in choosing LET over SR based on "common sense" (not everyone will agree with you on matters of common sense, but that doesn't really matter in terms of your choosing one interpretation over another). I am also justified in making my choice to use both because it suits me, and others are also justified in making their choice to use SR based on Occham's razor. All of these are various aestetic reasons, which are the only reasons to choose between different interpretations.Tam Hunt said:As I mentioned to Dale, however, if we have two empirically equivalent theories, one of which leads to a more commonsensical view of physical phenomena (and more comforting re the validity of free will) and another that doesn't, wouldn't we want to choose the former?