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Quantum gravity as an emergent phenomenon
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There ought to exist a reformulation of quantum theory which does not depend on classical time. To achieve such a reformulation, we introduce the concept of an atom of space-time-matter (STM). An STM atom is a classical non-commutative geometry, based on an asymmetric metric, and sourced by a closed string. Different such atoms interact via entanglement. The statistical thermodynamics of a large number of such atoms gives rise, at equilibrium, to a theory of quantum gravity. Far from equilibrium, where statistical fluctuations are large, the emergent theory reduces to classical general relativity. In this theory, classical black holes are far-from-equilibrium low entropy states, and their Hawking evaporation represents an attempt to return to the (maximum entropy) equilibrium quantum gravitational state.
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Proposal for a new quantum theory of gravity III: Equations for quantum gravity, and the origin of spontaneous localisation
A proposed noncommutative matrix action for 'atoms of spacetime-matter' aims to derive quantum gravity, spontaneous localisation, and classical general relativity with matter sources from a single principle.
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