A quantum Friedmann flat spacetime: Uncertainty Relations, Thermodynamics and some cosmological consequences

TL;DR

This paper develops uncertainty relations for quantum Friedmann flat spacetime, explores their cosmological implications, and links gravitational stability principles with holographic entropy bounds, providing insights into quantum cosmology.

Contribution

It introduces new spacetime uncertainty relations for quantum Friedmann flat spacetime and connects them with holographic entropy bounds and cosmological entropy calculations.

Findings

Derived Friedmann flat spacetime uncertainty relations.

Linked gravitational stability with holographic entropy bounds.

Calculated universe entropy at the apparent horizon.

Abstract

We present Friedmann flat spacetime uncertainty relations (STUR) together with some cosmological implications. An interesting link between the Principle of "gravitational stability against localization of events" (PGSL) and the holographic Bekenstein entropy bound (HEB) is also investigated. The same theorems leading to our STUR are used to calculate, thanks to the holographic principle, the entropy of the universe at its apparent horizon. The generalized entropy formula can be used to discuss interesting links with a quantum spacetime.