Quantum non-equilibrium is a hypothetical situation in which a quantum system does not follow the Born rule.
In Copenhagen interpretation, Born rule is postulated as a law, while in MWI and Bohmian mechanics it is not.
In Bohmian mechanics it was shown that once a system reaches quantum equilibrium, it remains there due to Schroedinger's equation.
Quantum non-equilibrium has not been ever detected despite searches.
That said, I wonder whether quantum non-equilibrium is linked to self-reference and, possibly, free will.
Particularly, whether one can explain in terms of quantum non-equilibrium the following phenomena:
Subjective decoherence, introduced by Thomas Breuer
Quantum immortality, introduced by Max Tegmark
Freebits, introduced by Scott Aaronson.
In these cases it seems, the Born rule is violated. This may hint that from the point of view of an observer, a system properly containing himself violates the quantum equilibrium. Copenhagen interpretation is explicitly not applicable to self-reference experiments, so even if quantum equilibrium is violated, Copenhagen interpretation is irrelevant. Max Tegmark proposed Quantum Immortality as an argument in favor of MWI.
Thus, the questions are:
Can subjective decoherence and quantum immortality be explained via quantum non-equilibrium?
Can detection of quantum non-equilibrium decide the choice between quantum interpretations in favor of MWI and Bohm as opposed to Copenhagen?
