QM of particles with no common past light cone

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SUMMARY

The discussion centers on the implications of Bell's theorem in quantum mechanics (QM) regarding particles created at the big bang without a common past light cone. The original claim posits that correlations in EPR experiments do not disprove classical determinism due to potential shared histories. A counterargument introduces the use of microwave photons from the early universe to determine detector orientations, suggesting that these particles lack a common past. The inquiry raises the question of whether QM principles, particularly the application of Coulombian forces and Hamiltonians, hold for such particles.

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  • Understanding of Bell's theorem in quantum mechanics
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  • Knowledge of quantum field theory and particle creation
  • Basic principles of Hamiltonian mechanics in quantum systems
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When discussing EPR experiments on this forum I made the claim that Bell's theorem does not prove classical determinism false because there is always the possibility that the correlations between distant measurements can be a result of the common past shared by particle source and the two detectors.

A counterargument to this "loophole" is that one can use microwave photons from a period close to big-bang, to chose the detector orientation, and those particles do not necessary have a common past.

Now, my question is as follows:

If two particles are created at the big-bang in such a way that no light signal could travel between them, does QM, as we know it, still apply? For example, I would expect that two charged particles in that situation would not experience Coulombian force, therefore the potential used to calculate the Hamiltonian necessary for the derivation of Schrödinger's equation would be different than for a "normal" pair of particles.

Thanks.
 
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