Finsler-type modification of the Coulomb law

Yakov Itin, Claus Lämmerzahl, and Volker Perlick
Phys. Rev. D 90, 124057 – Published 19 December 2014

Abstract

Finsler geometry is a natural generalization of pseudo-Riemannian geometry. It can be motivated e.g. by a modified version of the Ehlers-Pirani-Schild axiomatic approach to space-time theory. Also, some scenarios of quantum gravity suggest a modified dispersion relation which could be phrased in terms of Finsler geometry. On a Finslerian space-time, the universality of free fall is still satisfied but local Lorentz invariance is violated in a way not covered by standard Lorentz invariance violation schemes. In this paper we consider a Finslerian modification of Maxwell’s equations. The corrections to the Coulomb potential and to the hydrogen energy levels are computed. We find that the Finsler metric corrections yield a splitting of the energy levels. Experimental data provide bounds for the Finsler parameters.

  • Received 10 November 2014

DOI:https://doi.org/10.1103/PhysRevD.90.124057

© 2014 American Physical Society

Authors & Affiliations

Yakov Itin*

  • Institute of Mathematics, The Hebrew University of Jerusalem and Jerusalem College of Technology, Jerusalem 91904, Israel

Claus Lämmerzahl and Volker Perlick

  • ZARM, University of Bremen, Am Fallturm, 28359 Bremen, Germany

  • *itin@math.huji.ac.il
  • claus.laemmerzahl@zarm.uni-bremen.de
  • volker.perlick@zarm.uni-bremen.de

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 12 — 15 December 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×