Gedanken Tests for Correlated Michelson Interferometers (One- interferometer tests and two-interferometer tests: the role of cosmologically-implemented models including Poincar\'e particles)

TL;DR

This paper explores the theoretical analysis of correlated Michelson interferometers to investigate Einsteinian spacetime models and quantum geometries, focusing on Planck-scale correlations and cosmological models involving Poincaré particles.

Contribution

It introduces a framework for analyzing interferometer correlations within cosmological models that include Poincaré particles, linking quantum geometries with general relativity.

Findings

Spectral decomposition of Planck-scale displacement correlations.

Analysis of fractional Planck-time interval correlations.

Implications for kinematical investigations in particle physics.

Abstract

The features of correlated Michelson interferometers are for describing the analysis of Einsteinian spacetime models, and the quantum geometries pertinent with descriptions of GR compatible with particle Physics. Such apparati allow for the spectral decomposition of fractional Planck-scale displacements correlations and fractional Plancktime- interval correlations for kinematical investigations in particle Physics on emerging Minkowski background, and for models which admit GR as a limit after cosmological implementations for Poincar\'e particles content.