A novel mechanism for probing the Planck scale

TL;DR

This paper investigates how relativistic effects influence quantum gravity signatures detectable through wavepacket evolution, strengthening previous claims that such effects could be observed experimentally despite the Planck scale's inaccessibility.

Contribution

It introduces relativistic corrections to previous models of quantum gravity effects on wavepackets, enhancing the feasibility of experimental detection.

Findings

Relativistic corrections modify wavepacket evolution predictions.

Previous quantum gravity effects remain detectable with relativistic considerations.

Experimental tests of quantum gravity effects are potentially feasible.

Abstract

The Planck or the quantum gravity scale, being $16$ orders of magnitude greater than the electroweak scale, is often considered inaccessible by current experimental techniques. However, it was shown recently by one of the current authors that quantum gravity effects via the Generalized Uncertainty Principle affects the time required for free wavepackets to double their size, and this difference in time is at or near current experimental accuracies [1, 2]. In this work, we make an important improvement over the earlier study, by taking into account the leading order relativistic correction, which naturally appears in the systems under consideration, due to the significant mean velocity of the travelling wavepackets. Our analysis shows that although the relativistic correction adds nontrivial modifications to the results of [1, 2], the earlier claims remain intact and are in fact strengthened. We explore the potential for these results being tested in the laboratory.