Refining Bounds for Snyder and GUP Models through Seismic Wave Analysis

TL;DR

This paper uses seismic wave data to set new bounds on parameters from Snyder space-time and GUP models, showing Earth's empirical data can refine quantum gravity constraints.

Contribution

It introduces a novel method of constraining quantum gravity parameters using seismic data, improving bounds on GUP parameters based on Earth's empirical observations.

Findings

Bound on $eta_0$ less than $5.2\times 10^{44}$ for certain realizations

Seismic data can effectively refine quantum gravity model parameters

Constraints depend on the type of quantum phase space realization

Abstract

This study investigates possibility of placing bounds on the parameters, arising from the non-commutative Snyder space-time model and Generalized Uncertainty Principle (GUP) approach, by utilizing seismic data. We investigate the dependence of constraints on the type of realization used for the quantum phase space. Results indicate improved bounds compared to prior studies, with the model parameter $\beta_0$ constrained to be less than $5.2\times 10^{44}$ for certain choice of realizations. This approach demonstrates the potential for using Earth's empirical data to refine constraints on GUP parameters.