Snyder-de Sitter model from two-time physics

TL;DR

This paper derives the Snyder-de Sitter model's symplectic structure from two-time physics in seven dimensions and proposes a compatible Hamiltonian for a free particle, highlighting the model's symmetries.

Contribution

It introduces a novel derivation of the Snyder-de Sitter model's symplectic structure using two-time physics and proposes a consistent Hamiltonian.

Findings

Symplectic structure derived from seven-dimensional two-time physics

Proposed Hamiltonian respects the model's symmetries

Links Snyder-de Sitter model to higher-dimensional physics

Abstract

We show that the symplectic structure of the Snyder model on a de Sitter background can be derived from two-time physics in seven dimensions and propose a Hamiltonian for a free particle consistent with the symmetries of the model.