Quantum Horizons

TL;DR

This paper models black hole horizons as quantum states, deriving a non-commutative space-time structure and calculating entropy and temperature, supporting supersymmetric models.

Contribution

It introduces a quantum horizon model for black holes using quantum states and non-commutative geometry, and computes key thermodynamic properties.

Findings

Quantum horizon spreads the classical singularity.

Black hole entropy and Hawking temperature are successfully calculated.

Supports the Minimal Supersymmetric Standard Model.

Abstract

Treating macro-black hole as quantum states, and using Brown-York quaselocal gravitational energy definition and Heisenberg uncertainty principle, we find out the classical horizon with singularity spreads into a quantum horizon in which the space-time is non-commutative and the spread range is determined dynamically. A Quantum Field Theory (QFT) model in curved space with quantum horizon is constructed. By using it, the black hole entropy and the Hawking temperature are calculated successfully. The $\phi-$field mode number is predicted and our quantum horizon model favors to support the Minimal Super-symmetric Standard Model.