Brane World, Mass Hierarchy and the Cosmological Constant

TL;DR

This paper explores a six-dimensional brane world model, providing an analytic solution, examining the mass hierarchy, and proposing a geometrical see-saw relation connecting fundamental constants and neutrino mass.

Contribution

It introduces a 6D brane world model as an extension of the 5D Randall-Sundrum model, with an analytic solution and a novel geometrical see-saw mass relation.

Findings

Analytic solution verified by numerical methods

Identification of a geometrical see-saw mass relation

Comparison with 5D models shows new features

Abstract

The brane world based on the 6D gravitational model is examined. It is regarded as a higher dimensional version of the 5D model by Randall and Sundrum >. The obtained analytic solution is checked by the numerical method. The mass hierarchy is examined. Especially the {\it geometrical see-saw} mass relation, between the Planck mass, the cosmological constant, and the neutrino mass, is suggested. Comparison with the 5D model is made.