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Emergence of classicality in non relativistic quantum mechanics through gravitational self-interaction
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An explicit dynamical model for non relativistic quantum mechanics with an effective gravitational interaction is proposed, which, as being well defined, allows in principle for the evaluation of every physical quantity. Its non unitary dynamics results from a unitary one in a space with twice as many degrees of freedom as the ordinary ones. It exhibits a threshold for the emergence of classical behavior for bodies of ordinary density on rather long times or instantaneously, respectively at around 10^11 or 10^20 proton masses.
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Semiclassical world is one of infinite many cloneworlds in common spacetime
In the limit of infinitely many gravitationally coupled clone worlds, each world's quantum matter obeys the semiclassical Einstein equation (or its Schrödinger-Newton limit).
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