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

TL;DR

This paper discusses a novel quantum gravity theory derived from trace dynamics and non-commutative geometry, which predicts spontaneous localisation and estimates black hole entropy, bridging quantum mechanics and gravity.

Contribution

It introduces a new quantum gravity framework based on trace dynamics and non-commutative geometry, integrating spontaneous localisation and black hole entropy estimation.

Findings

Predicts spontaneous localisation as a consequence of the theory

Provides an estimate for Bekenstein-Hawking black hole entropy

Develops a unified approach connecting quantum mechanics and gravity

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.