# On the origin of generalized uncertainty principle from compactified M5-brane

## TL;DR

This paper shows how compactification in M-theory naturally leads to a deformation of field theory consistent with the generalized uncertainty principle, linking high-dimensional theories to quantum gravity effects.

## Contribution

It demonstrates that compactification in M-theory can produce a field theory deformation aligned with the GUP, providing a theoretical origin for the GUP from M-brane dynamics.

## Key findings

- Higher derivative terms in M3-brane action relate to GUP deformations
- Constructed a Heisenberg algebra consistent with GUP
- Linked M-theory compactification to quantum gravity phenomenology

## Abstract

In this paper, we demonstrate that compactification in M-theory can lead to a deformation of field theory consistent with the generalized uncertainty principle (GUP).We observe that the matter fields in the M3-brane action contain higher derivative terms. We demonstrate that such terms can also be constructed from a reformulation of the field theory by the GUP. In fact, we will construct the Heisenberg algebra consistent with this deformation, and explicitly demonstrate it to be the Heisenberg algebra obtained from the GUP. Thus, we use compactification in M-theory to motivate for the existence of the GUP.