Models of Exotic Interferometer Cross-Correlations in Emergent Space-Time

TL;DR

This paper develops a Lorentz invariant model for cross-correlations in interferometers arising from emergent space-time, predicting an exotic imaginary cross spectrum linked to quantum entanglement of geometrical states.

Contribution

It introduces a novel Lorentz invariant framework for modeling interferometer cross spectra based on emergent space-time from quantum entanglement, with specific observable signatures.

Findings

Predicts an exotic imaginary broad band cross spectrum.

Links the frequency structure to interferometer layout.

Provides a theoretical basis for interpreting Holometer data.

Abstract

A Lorentz invariant framework is developed to model the cross spectrum of two interferometers in a space-time that emerges from a Planck scale quantum system with exact causal symmetry and holographic spacelike rotational correlations. Space-time relationships between world lines are generated by entanglement of geometrical states on causal diamonds. The entanglement is tied to a unique observable signature: an exotic imaginary broad band cross spectrum, with a frequency structure determined by the layout of the interferometers. The models will be used to interpret data from the reconfigured Fermilab Holometer, and for conceptual design of future experiments.