# Low Energy Consequences of Loop Quantum Gravity

## TL;DR

This paper explores how loop quantum gravity's polymer quantization, with potentially larger polymer lengths, can lead to observable low-energy effects similar to string theory modifications, affecting quantum systems and thermodynamics.

## Contribution

It demonstrates that polymer length can be larger than the Planck scale and produce low-energy effects comparable to string theory, analyzing their impact on quantum systems.

## Key findings

- Polymer length can be several orders larger than the Planck length.
- Polymer and string theoretical modifications produce similar low-energy behaviors.
- Polymer corrections affect the thermodynamics of degenerate Fermi gases.

## Abstract

As the loop quantum gravity is based on polymer quantization, we will argue that the polymer length (like string length) can be several orders larger than the Planck length, and this can have low energy consequences. We will demonstrate that a short distance modification of a quantum system by polymer quantization and by string theoretical considerations can produce similar behavior. Moreover, it will be demonstrated that a family of different deformed Heisenberg algebras can produce similar low energy effects. We will analyze such polymer correction to a degenerate Fermi gases in a harmonic trap, and its polymer corrected thermodynamics.