Statistical Model of Exotic Rotational Correlations in Emergent Space-Time

TL;DR

This paper introduces a Lorentz invariant statistical model for quantum-induced rotational fluctuations in space-time, linking microscopic quantum effects to observable correlations in interferometry experiments.

Contribution

It presents a novel, testable model connecting quantum space-time degrees of freedom with macroscopic rotational correlations observable in interferometry.

Findings

Model predicts autocorrelation of interferometer signals based on light path geometry

Specific configurations show the model's predictions are experimentally testable

Provides a framework for probing Planck scale physics through observable correlations

Abstract

A Lorentz invariant statistical model is presented for rotational fluctuations in the local inertial frame that arise from new quantum degrees of freedom of space-time. The model assumes invariant classical causal structure, and a Planck information density in invariant proper time determined by the world line of an observer. It describes macroscopic spacelike correlations that appear as observable timelike correlations in phase differences of light propagating on paths that begin and end on the same world line. The model allows an exact prediction for the autocorrelation of any interferometer time signal from the shape of the light paths. Specific examples computed for configurations that approximate realistic experiments show that the model can be rigorously tested, allowing a direct experimental probe of Planck scale degrees of freedom.