Quantum Entanglement of Matter and Geometry in Large Systems

TL;DR

This paper explores how nonlocal quantum entanglement between matter and geometry could reconcile quantum mechanics with gravity, predicting measurable fluctuations and linking microscopic and cosmological information densities.

Contribution

It introduces models of geometrical entanglement that explain macroscopic quantum-gravity inconsistencies and predict observable effects at laboratory scales.

Findings

Predicts Planck-scale fluctuations in position of massive bodies.

Suggests entanglement accounts for holographic information density.

Proposes measurable laboratory-scale effects of matter-geometry entanglement.

Abstract

Standard quantum mechanics and gravity are used to estimate the mass and size of idealized gravitating systems where position states of matter and geometry become indeterminate. It is proposed that well-known inconsistencies of standard quantum field theory with general relativity on macroscopic scales can be reconciled by nonstandard, nonlocal entanglement of field states with quantum states of geometry. Wave functions of particle world lines are used to estimate scales of geometrical entanglement and emergent locality. Simple models of entanglement predict coherent fluctuations in position of massive bodies, of Planck scale origin, measurable on a laboratory scale, and may account for the fact that the information density of long lived position states in Standard Model fields, which is determined by the strong interactions, is the same as that determined holographically by the cosmological constant.