Sunil
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Weinberg was quoted to show that SM and GR considered as effective field theories is mainstream. That's all. Once you have conceded this, there is no further need to consider Weinberg.PeterDonis said:I fail to see how it does so, since Weinberg does not even mention any such argument.
PeterDonis said:If introducing a preferred frame into an effective field theory makes no difference, why would anyone bother doing it?
To show the viability of all the realistic interpretations of quantum theory, given that they require a preferred frame in the relativistic context. Correspondingly, to show the viability of EPR realism (given that together with Einstein causality one could prove the Bell inequalities, while with the Lorentz ether one cannot prove it), the viability of Reichenbach's common cause principle (same reason).PeterDonis said:Need for what?
Moreover, to argue that even thinking about superdeterminism, quantum logic and other such "theories" is unreasonable, given that much simpler realistic causal alternatives exist.
This is one point I have liked in that paper recommended by RUTA: The point against superdeterminism that it has to be a very complicate theory. But to reject superdeterminism because it is too complex means one needs simpler alternatives. They exist, in form of the realistic interpretations, but require a preferred frame. Thus, to present a viable alternative we need a viable theory with preferred frame able to replace GR + SM.
That's correct but too weak. It would be valid also if there would be no GR and the QFT would be described by some AQFT. But the situation looks much worse for relativistic symmetry. There is not even a single viable candidate for an AQFT, and given the situation with gravity AFAIU we have even sufficient evidence that below Planck length existing field theory (GR + SM) fails. There exist simple, straightforward replacements for more fundamental theories - lattice regularizations. But they have no relativistic symmetry. So, there exist sufficiently simple viable theories with only effective relativistic symmetry but none with fundamental relativistic symmetry.PeterDonis said:I would phrase this a bit differently. Since we cannot currently experimentally test for Lorentz invariance below a finite length and time scale (about 1/10 the size of an atomic nucleus, or the corresponding light travel time, IIRC), we cannot say that we have experimentally confirmed that Lorentz invariance holds below that scale (or, if you prefer, above the corresponding energy and momentum scale). So if some theory claims that Lorentz invariance is not fundamental, but is an approximate symmetry that is broken above some energy and momentum scale beyond what we can currently test, that theory is consistent with currently known experimental data.