Holography from quantum cosmology

TL;DR

This paper applies deformation quantization to a quantum cosmological model, demonstrating that the universe's horizon surface and entropy are quantized, supporting the holographic principle as a fundamental feature of quantum cosmology.

Contribution

It introduces a novel application of deformation quantization to cosmology, showing quantization of horizon surface and entropy, and supports the holographic principle in quantum universes.

Findings

Horizon surface area is quantized in units of Planck's surface.

Total entropy of the universe is quantized.

Supports 't Hooft's holographic conjecture in quantum cosmology.

Abstract

The Weyl-Wigner-Groenewold-Moyal formalism of deformation quantization is applied to the closed Friedmann-Lema\^itre-Robertson-Walker (FLRW) cosmological model. We show that the phase space average for the surface of the apparent horizon is quantized in units of the Planck's surface, and that the total entropy of the universe is also quantized. Taking into account these two concepts, it is shown that 't Hooft conjecture on the cosmological holographic principle (CHP) in radiation and dust dominated quantum universes is satisfied as a manifestation of quantization. This suggests that the entire universe (not only inside the apparent horizon) can be seen as a two-dimensional information structure encoded on the apparent horizon.