Yang's Model as Triply Special Relativity and the Snyder's Model--de Sitter Special Relativity Duality

TL;DR

This paper explores the theoretical framework connecting Yang's model, Snyder's quantized space-time, and de Sitter special relativity, revealing a duality that unifies these models within a triply special relativity context.

Contribution

It demonstrates that Yang's model, when fully developed, encompasses Snyder's model, de Sitter special relativity, and their duality, establishing a unified theoretical structure.

Findings

Yang's model includes Snyder's model as a special case

Reveals duality between de Sitter SR and Snyder's model

Proposes a unified triply special relativity framework

Abstract

We show that if Yang's model as the earliest TSR is completed, it should contain both Snyder's quantized space-time model as the earliest DSR, the de Sitter SR and their duality.