Gravitationally coupled Quantum Harmonic Oscillator

TL;DR

This paper models a gravitationally collapsed star as a quantum harmonic oscillator within a semi-classical framework, questioning the traditional black hole description and exploring quantum effects in gravitational collapse.

Contribution

It introduces a quantum harmonic oscillator model for a collapsed star interacting with its gravitational field, bridging quantum matter and classical gravity.

Findings

Proposes a quantum oscillator analogy for gravitational collapse

Questions the classical black hole paradigm in semi-classical gravity

Highlights potential quantum effects in gravitational collapse scenarios

Abstract

We present a quantum harmonic oscillator model of a collapsed star trapped in the potential well of its gravitational field. The model incorporates quantum matter (quantum fields) as a source to classical gravitational field. We describe the gravitationally collapsed star as a quantum harmonic oscillator in an analogy with an electron trapped in a potential well. The subtle point we raise in this paper is whether a standard black hole scenario is a correct description for a gravitational collapse in a semi-classical framework.