The Area Quantum and Snyder Space

TL;DR

This paper demonstrates that in Snyder space, the areas of discs and spheres are quantized, linking the sphere's area spectrum to Bekenstein's black hole horizon area conjecture.

Contribution

It introduces the quantization of area in Snyder space and connects it to black hole physics, providing a novel perspective on quantum geometry.

Findings

Disc and sphere areas are quantized in Snyder space.

Sphere area spectrum relates to Bekenstein's black hole conjecture.

Provides a new approach to quantum geometry in Snyder space.

Abstract

We show that in the Snyder space the area of the disc and of the sphere can be quantized. It is also shown that the area spectrum of the sphere can be related to the Bekenstein conjecture for the area spectrum of a black hole horizon.