Refining Bounds for Snyder and GUP Models through Seismic Wave Analysis

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.