Physics of Quantum Relativity through a Linear Realization

TL;DR

This paper presents a linear realization of quantum relativity within Lie algebra framework, offering new physical interpretations and perspectives that could deepen understanding of relativistic physics.

Contribution

It introduces a simple linear realization of quantum relativity symmetry within Lie algebra, providing a novel approach and physical insights.

Findings

New linear realization of quantum relativity symmetry

Systematic exploration of physical interpretations

Potential for enhanced understanding of relativistic physics

Abstract

The idea of quantum relativity as a generalized, or rather deformed, version of Einstein (special) relativity has been taking shape in recent years. Following the perspective of deformations, while staying within the framework of Lie algebra, we implement explicitly a simple linear realization of the relativity symmetry, and explore systematically the resulting physical interpretations. Some suggestions we make may sound radical, but are arguably natural within the context of our formulation. Our work may provide a new perspective on the subject matter, complementary to the previous approach(es), and may lead to a better understanding of the physics.