Inherent Holography In Fuzzy Spaces and An N-tropic Approach To The Cosmological Constant Problem

TL;DR

This paper explores how fuzzy spaces, especially fuzzy spheres, inherently demonstrate holography and proposes a novel 'N-tropic' approach to address the cosmological constant problem within Euclidean spacetime.

Contribution

It introduces fuzzy spheres as natural holographic candidates and presents the 'N-tropic' method as a new perspective on the cosmological constant problem.

Findings

Fuzzy spheres exhibit explicit holography due to their minimal accessible volume.

The 'N-tropic' approach offers a fresh Euclidean space-time perspective on the cosmological constant problem.

Fuzzy spaces challenge traditional notions of Planck-scale limitations.

Abstract

In this letter we show that the noncommutative spaces, and in particular fuzzy spheres, are natural candidates which explicitly exhibit the holography, by noting that the smallest physically accessible volume is much larger that the expected Planckian size. Moreover, we show that fuzzy spheres provide us with a new approach, ''an $N$-tropic'' approach, to the cosmological constant problem, though in a Euclidean space-time.