Can Quantum Gravitational Effects Manifest themselves at Large Distances?

TL;DR

This paper proposes that quantum gravitational effects, traditionally thought to occur only at tiny scales, could also manifest at large distances in a universe with a significantly larger effective Planck constant, especially in models with extra dimensions.

Contribution

It introduces a framework suggesting quantum gravitational effects can appear at large scales due to a modified uncertainty principle in a universe with large extra dimensions.

Findings

Quantum gravitational effects can manifest at large distances.

A generalized uncertainty principle with minimal momentum uncertainty is used.

Large extra dimensions influence the scale at which quantum gravity effects appear.

Abstract

Consider a proposed model of the universe with $\hbar$ much greater than its well-known value of $10^{-34} Js$. In this model universe, very large objects can show quantum behaviors. In a scenario with large extra dimensions, $\hbar$ can attains very large values depending on the dimensionality of spacetime. In this letter, we show that although conventional thinking indicates that quantum gravitational effects should manifest themselves only at very small scales, in actuality quantum gravitational effects can manifest themselves at large scales too. We use the generalized uncertainty principle with a non-zero minimal uncertainty in momentum as our primary input to construct a mathematical framework for our proposal.