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 noncommutative matrix dynamics. We describe how to incorporate gravity into trace dynamics, by using ideas from Connes’ noncommutative 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.

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从量子基础到自发量子引力——新理论概述

摘要 自发局域化是一种可证伪的动力学机制，它修改了量子力学并解释了宏观世界中位置叠加的缺失。然而，这是一个特别的现象学建议。阿德勒的轨迹动力学理论在平坦的闵可夫斯基时空上工作，推导出量子（场）理论和自发局域化，作为潜在的非对易矩阵动力学的热力学近似。我们通过使用 Connes 的非对易几何程序的思想，描述了如何将重力结合到轨迹动力学中。这将我们引向了一种新的引力量子理论，从中我们可以预测自发局域化并估计施瓦茨柴尔德黑洞的 Bekenstein-Hawking 熵。