Nonminimal Lorentz Violation in Macroscopic Matter

TL;DR

This paper investigates how Lorentz and CPT violations affect macroscopic matter, deriving effective coefficients and analyzing their impact on experiments like free-fall tests, torsion balances, and acoustic resonators.

Contribution

It introduces a comprehensive framework for describing Lorentz violation effects in macroscopic objects, including all minimal and nonminimal violations within the Standard-Model Extension.

Findings

Derived effective composite coefficients for Lorentz violation in matter.

Modified Newton's second law incorporating Lorentz-violating effects.

Predicted frequency shifts in acoustic resonators due to Lorentz violation.

Abstract

The effects of Lorentz and CPT violations on macroscopic objects are explored. Effective composite coefficients for Lorentz violation are derived in terms of coefficients for electrons, protons, and neutrons in the Standard-Model Extension, including all minimal and nonminimal violations. The hamiltonian and modified Newton's second law for a test body are derived. The framework is applied to free-fall and torsion-balance tests of the weak equivalence principle and to orbital motion. The effects on continuous media are studied, and the frequency shifts in acoustic resonators are calculated.