Mechanism for Spontaneous Time Reparametrization Symmetry Breaking in Canonical Gravity as Origin of Quantum Energy Measurement Processes

TL;DR

This paper introduces a mechanism in canonical gravity where spontaneous time reparametrization symmetry breaking, caused by a self-interacting spin-1/2 particle, underpins quantum energy measurement processes within a novel interpretation of quantum mechanics.

Contribution

It proposes a new model of extended canonical gravity that links symmetry breaking to quantum measurement, incorporating a spinor-based potential and a novel quantum interpretation.

Findings

Spontaneous symmetry breaking induces quantum energy measurement processes.

A new interpretation of quantum mechanics relates position uncertainties to gravitational variables.

The model connects gravity, quantum measurement, and a novel quantum interpretation.

Abstract

We propose a mechanism for system-induced spontaneous time reparametrization symmetry breaking in canonical gravity. We consider a model of extended canonical gravity, based on Sen's spinorial expression of the spatial-diffeomorphism-gauge independent part of the shift vector, with one additional long-range self-interacting massive spin-$1/2$ particle whose spin is coupled to Sen's spinor in the Hamiltonian. This additional particle plays the role of creating the system-induced time reparametrization invariant potential. We use this potential to break time reparametrization symmetry spontaneously. We identify the symmetry breaking with the origin of the quantum energy measurement processes in the ensemble interpretation of quantum mechanics. Our theory uses a novel interpretation of quantum mechanics with respect to quantum mechanical position uncertainties of particles. The spatial-diffeomorphism-gauge independent part of the shift vector is attributed to this novel interpretation of quantum mechanics.