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Abstract: We restate Kay-s 1998 hypothesis which simultaneously offers an objectivedefinition for the entropy of a closed system, a microscopic foundation for theSecond Law, a resolution of the Information Loss and other Black-HolePuzzles and an objective mechanism for decoherence. Presupposing aconventional unitary theory of low-energy quantum gravity, it offers all thisby taking the physical density operator of a closed system to be the partialtrace of its total density operator assumed pure over gravity and by definingits physical entropy to be its `matter-gravity entanglement entropy-. We alsorecall Kay-s 1998 modified non-relativistic many-body quantum mechanics basedon Kay-s hypothesis with a Newtonian approximation to quantum gravity. In thismodification, we find formal expectation values for certain `observables- suchas momentum-squared and Parity are altered but those for functions of positionsare unaltered. However, by arguing that every real measurement can ultimatelybe taken to be a position measurement, we prove that, in practice, it isimpossible to detect any alteration at all and, in particular, we predict noalteration for Roger Penrose-s experiment. Nevertheless, Kay-s modificationcontains no Schr\-odinger Cat-like states, and also allows an `events-interpretation which we tentatively propose and begin to explore. We alsoobtain a Second-Law type result for a non-relativistic toy-model closed systemand argue that similar results will apply for a wide class of model Newtonianand post-Newtonian closed systems although we argue that ordinary actuallab-sized systems can never be treated as closed for the purpose of calculatingtheir entropy. Compared with `collapse models- such as GRW, Kay-s Newtoniantheory does a similar job while being free from ad hoc assumptions.



Autor: Bernard S. Kay, Varqa Abyaneh York

Fuente: https://arxiv.org/







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