Dynamic quantum theory of large additional dimensions for non-massive particles

TL;DR

This paper develops a dynamic quantum framework for large extra dimensions in brane models, deriving new equations and dispersion relations for massless particles within this context.

Contribution

It introduces a Wheeler-de Witt type equation incorporating brane topology variation, advancing the theoretical understanding of massless particles in higher-dimensional brane models.

Findings

Analytical solutions obtained under certain simplifications

Derived dispersion relations for wave frequency

Extended the brane model to include topology variation effects

Abstract

Brane model of universe is considered for zero-mass particle. Equation of Wheeler - de Witt type is obtained using variation principle from the well-known conservation laws inside the brane. This equation includes term accounting the variation of brane topology. Solutions are obtained analytically at some simplifications and the dispersion relations are derived for frequency of wave associated with the particle.