# GUP parameter from Maximal Acceleration

## TL;DR

This paper calculates the GUP parameter  using a theoretical approach by comparing GUP-deformed Unruh temperature with Caianiello's maximal acceleration theory, providing a specific numerical estimate and discussing its physical implications.

## Contribution

It offers a novel theoretical calculation of the GUP parameter  by linking it to maximal acceleration theory and temperature comparisons.

## Key findings

- Derived a numerical value for  from temperature comparisons.
- Connected GUP parameter constraints with maximal acceleration theory.
- Discussed physical implications of the calculated  value.

## Abstract

We exhibit a theoretical calculation of the parameter \beta appearing in the generalized uncertainty principle (GUP) with only a quadratic term in the momentum. A specific numerical value is obtained by comparing the GUP-deformed Unruh temperature with the one predicted within the framework of Caianiello's theory of maximal acceleration. The physical meaning of this result is discussed in connection with constraints on \beta previously fixed via both theoretical and experimental approaches.