About quantum fluctuations and holographic principle in (4+n)-dimensional spacetime

TL;DR

This paper derives explicit formulas for quantum spacetime fluctuations in higher dimensions, explores their holographic properties, and discusses implications for clocks, black holes, and cosmological measurements, especially in ADD models.

Contribution

It provides new explicit expressions for quantum fluctuations in (4+n)-dimensional spacetime and analyzes their holographic properties and implications in ADD models.

Findings

Explicit formulas for quantum fluctuations in higher dimensions

Estimates of clock size and mass for spacetime fluctuation measurements

Numerical results on phase incoherence of light from extragalactic sources

Abstract

In the article we present explicit expressions for quantum fluctuations of spacetime in the case of $(4+n)$-dimensional spacetimes, and consider their holographic properties and some implications for clocks, black holes and computation. We also consider quantum fluctuations and their holographic properties in ADD model and estimate the typical size and mass of the clock to be used in precise measurements of spacetime fluctuations. Numerical estimations of phase incoherence of light from extra-galactic sources in ADD model are also presented.