Projecting the graviton to probe higher or lower dimensions

TL;DR

This paper explores how in Einstein's theory, gravitons can be projected to probe different effective dimensions in UV and IR regimes, offering an alternative to compactification with potential physical implications.

Contribution

It introduces a method to project gravitons to fewer dimensions in the UV compared to IR within Einstein's theory, suggesting a novel approach to dimensional transmutation.

Findings

Gravitons can be projected to fewer dimensions in the UV regime.

This projection acts as an alternative to traditional compactification.

The approach has implications for understanding dimensionality in quantum gravity.

Abstract

In this paper, we will discuss how in Einstein's theory a graviton can be enforced to probe fewer space-time dimensions in the deep ultraviolet (UV) as compared to far infrared (IR), and vice-versa. In particular, from a $D$ dimensional gravitational action in the IR we can project the $D$ dimensional graviton to probe only $2\leq N\leq D-1$ dimensions in the deep UV. Such projections of a graviton propagator can be thought of as an alternative to compactification. We will briefly explain the physical interpretation and consequences of such a dimensional transmutation.