Deformed Special Relativity using a Generalized 't Hooft-Nobbenhuis Complex Transformation

TL;DR

This paper proposes a new model of Deformed Special Relativity at the Planck scale by applying a generalized complex transformation, suggesting an energy-dependent Planck's constant and a fundamental quantum framework.

Contribution

It introduces a novel application of a generalized 't Hooft-Nobbenhuis transformation to momentum space, leading to a model where Planck's constant varies with energy, space, and time.

Findings

Energy-dependent Planck's constant varies in space and time.

Quantum Mechanics emerges as a low-energy approximation.

New insights into Planck-scale physics and fundamental constants.

Abstract

A generalized form of 't Hooft-Nobbenhuis Complex space-time Transformation is applied on momentum space from which a new model of Deformed Special Relavity at Planck Scale is proposed. The model suggests an energy-dependent Planck's "constant" that vary in space and time and Quantum Mechanics as a low-energy approximation of perhaps a more fundamental theory at Planck Scale.