Hiding An Extra Dimension

TL;DR

This paper introduces a novel geometric configuration of a single extra dimension that conceals Kaluza-Klein excitations at higher energy scales, expanding possibilities for compactification in higher-dimensional theories.

Contribution

It proposes a new geometry of a single extra dimension with multiple intervals that raises the Kaluza-Klein excitation scale, enabling hidden signals of extra dimensions.

Findings

Kaluza-Klein excitations can appear at higher scales than traditional models.

The geometry can be interpreted as intersecting branes or complex higher-dimensional spaces.

This approach broadens the scope of possible compactifications for extra dimensions.

Abstract

We propose a new geometry and/or topology of a single extra dimension whose Kaluza-Klein excitations do appear at much higher scale than the inverse of the length/volume. For a single extra dimenion with volume $N\pi\rho$ which is made of N intervals with size $\pi\rho$ attached at one point, Kaluza-Klein excitations can appear at $1/\rho$ rather than $1/N\rho$ which can hide the signal of the extra dimenion sufficiently for large N. The geometry considered here can be thought of a world volume theory of self intersecting branes or an effective description of complicated higher dimensional geometry such as Calabi-Yau with genus or multi-throat configurations. This opens a wide new domain of possible compactifications which deserves a serious investigation.