Semiclassical corrections to a regularized Schwarzschild metric

TL;DR

This paper introduces a regularized Schwarzschild metric that incorporates quantum corrections, making it more applicable to microphysics by linking the source mass to both the Schwarzschild radius and the Compton wavelength.

Contribution

It proposes a new regularized Schwarzschild geometry that integrates quantum effects and aligns the Komar energy with classical mass-energy equivalence.

Findings

The metric is regular and suitable for microphysics applications.

The source mass relates to both Schwarzschild radius and Compton wavelength.

Komar energy equals mc^2 in the classical limit.

Abstract

A regular form of the Schwarzschild geometry is proposed. It is more suitable for application in microphysics because the source mass comes out both as a Schwarzschild radius and the Compton wavelength of the mass $m$. The Komar energy equals $mc^{2}$ in the classical situation ($\hbar = 0$).