From quantum foundations, to spontaneous quantum gravity: an overview of the new theory

Abstract

Spontaneous localisation is a falsifiable dynamical mechanism which modifies quantum mechanics, and explains the absence of position superpositions in the macroscopic world. However, this is an ad hoc phenomenological proposal. Adler's theory of trace dynamics, working on a flat Minkowski space-time, derives quantum (field) theory, and spontaneous localisation, as a thermodynamic approximation to an underlying non-commutative matrix dynamics. We describe how to incorporate gravity into trace dynamics, by using ideas from Connes' non-commutative geometry programme. This leads us to a new quantum theory of gravity, from which we can predict spontaneous localisation, and give an estimate of the Bekenstein-Hawking entropy of a Schwarzschild black hole.

arXiv commentv3: 46 pages, 2 figures, Minor typos in v2 corrected. Accepted for publication in Zeitschrift fur Naturforschung A

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• On the emergent origin of the inertial mass
• Hyperbolic space in the Newtonian limit: the cosmological constant
• On the emergence of gravity in a framework of emergent quantum mechanics