Tendex said:
Aren't you ignoring the fact that the correlations observed(in quantum experiments) are not compatible with classical, pre-relativistic time correlations?
There is no such fact. The realist interpretations need an absolute time (that means a hidden preferred frame) but have no causal influences into the past. So, they follow the same type of causal restrictions as in classical physics.
Fra said:
Perhaps we are talking about different things? Perhaps it was my flawed interpretation and i don't get what you guys are talking about. I thought RUTA meant that the "open issue" (mystery, is just a word?) is to to find an explanation of the correlations observed in entanglement. And if possible an explanation that obeys local realism. I think explanations are possible, but they the premises in "local realism" is wrong to start with. Nevertheless, and "explanation" is wanted.
We know QM works, but as long as we do not understand it properly, its explanatory value is limited.
This I agree with. I see no mysticism here?
What I name mysticism is the rejection of principles and concepts of common sense without necessity.
We have, today, explanations for quantum as well as relativistic effects which are not at all in conflict with the principles of common sense, as known from classical physics. Since the invention of dBB theory, we know that we can have a continuous trajectory in the configuration space. We know since Bell's theorem that the speed of light cannot be the upper limit of causal influences, but have no need to give up realism or causality. We have known from the start but "forgotten" that we don't have to give up Newtonian absolute space and time, but can explain relativistic effects by distortions of clocks and rulers, and that Lorentz symmetry is a property of a wave equation, which allows to construct Doppler-shifted solutions. We have an epistemic interpretation of the wave function (Caticha). That QT is not local, ok, not nice, but it is something shared with Newtonian gravity. One may not like it, but so what? There is room for future theories to replace QT with a local (but not Einstein-local) theory, similarly to the replacement of Newtonian gravity by general relativity.
Given that such an interpretation of modern physics exists, there is no necessity to give up any of the key elements of classical physics.
The rejection of classical elements of explanation, like causal explanations for observed correlations, is standard part of mystical theories.
PeterDonis said:
Really? Someone has a well-tested, experimentally confirmed theory in which Lorentz invariance is not fundamental, but emergent? Please provide a reference.
Let's start with the classical theory of sound waves, with the equation ##\square u = (\frac{1}{c^2}\partial_t^2 - \Delta) u = 0##, with the speed of the wave being c. It is simple mathematics to see that the Lorentz transformation with that c of a solution of that equation gives the Doppler-shifted solution of the same equation. So, the equation has Lorentz symmetry. And it is emergent because there is no such Lorentz symmetry on the atomic level.
But we can also consider the fundamental level.
Schmelzer, I. (2012). A Generalization of the Lorentz Ether to Gravity with General-Relativistic Limit. Advances in Applied Clifford Algebras 22(1), 203-242, resp. arxiv:gr-qc/0205035
It gives, in some limit, the Einstein equations in harmonic coordinates, which is the field-theoretic variant of GR. Which is quite well-tested, not? While the EEP holds exactly in the theory itself (derived from action equals reaction symmetry), the SEP holds only in the limit, thus, is emergent. So, full relativistic symmetry is emergent. Moreover, the theory is interpreted as a classical condensed matter theory, with continuity and Euler equations, and the gravitational field is interpreted as density, average velocity and stress tensor of an ether. The analogy to usual condensed matter theories, without any Lorentz symmetry on the fundamental atomic level suggests that something similar, without any relativistic symmetry, has to be done there too. Given that the theory is not even renormalizable, it makes sense only as an effective theory too.
A microscopic model for some parts of that ether has been developed in
Schmelzer, I. (2009). A Condensed Matter Interpretation of SM Fermions and Gauge Fields, Found. Phys. 39(1) 73-107, resp. arxiv:0908.0591.
It does not have any relativistic symmetry.