English

A new length scale for quantum gravity

General Relativity and Quantum Cosmology 2017-10-13 v2 High Energy Physics - Theory Quantum Physics

Abstract

We show why and how Compton wavelength and Schwarzschild radius should be combined into one single new length scale, which we call the Compton-Schwarzschild length. Doing so offers a resolution of the black hole information loss paradox, and suggests Planck mass remnant black holes as candidates for dark matter. It also compels us to introduce torsion, and identify the Dirac field with a complex torsion field. Dirac equation, and Einstein equations, are shown to be mutually dual limiting cases of an underlying gravitation theory which involves the Compton-Schwarzschild length scale, and includes a complex torsion field.

Keywords

Cite

@article{arxiv.1704.00747,
  title  = {A new length scale for quantum gravity},
  author = {Tejinder P. Singh},
  journal= {arXiv preprint arXiv:1704.00747},
  year   = {2017}
}

Comments

7 pages, 1 figure; v2 - minor typo corrected, Honorable Mention in the Gravity Research Foundation 2017 Awards for Essays on Gravitation

R2 v1 2026-06-22T19:06:25.130Z