Spontaneous Lorentz symmetry violation from infrared gravity

TL;DR

This paper links modified uncertainty principles arising from large-distance spacetime curvature to Lorentz symmetry violation in the Standard Model Extension, providing new constraints based on experimental bounds.

Contribution

It establishes a direct correspondence between a modified Heisenberg uncertainty principle and the SME, connecting quantum mechanics extensions with string-theoretical Lorentz violation.

Findings

Derived the tightest bounds on the extended uncertainty principle parameter.

Validated the correspondence by comparing Hawking temperature predictions.

Connected quantum mechanics modifications to Lorentz symmetry breaking in string theory.

Abstract

In this paper, we investigate a novel implication of the non-negligible spacetime curvature at large distances when its effects are expressed in terms of a suitably modified form of the Heisenberg uncertainty relations. Specifically, we establish a one-to-one correspondence between such modified uncertainty principle and the Standard Model Extension (SME), a string-theoretical effective field theory that accounts for both explicit and spontaneous breaking of Lorentz symmetry. This tight correspondence between string-derived effective field theory and modified quantum mechanics with extended uncertainty relations is validated by comparing the predictions concerning a deformed Hawking temperature derived from the two models. Moreover, starting from the experimental bounds on the gravity sector of the SME, we derive the most stringent constraint achieved so far on the value of the free parameter entering in the extended Heisenberg uncertainty principle.