Duality-invariant Einstein-Planck relation and the speed of light at very short wavelengths

Details Duality-invariant Einstein-Planck relation and the speed of light at very short wavelengths Duality-invariant Einstein-Planck relation and the speed of light at very short wavelengths

Nov 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011phrvd..84j7303j&link_type=abstract

Physical Review D, vol. 84, Issue 10, id. 107303

Physics

Gamma-Ray, Quantum Gravity, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We propose a generalized Einstein-Planck relation for photons which is invariant under the change λ/alP to alP/λ, λ being the photon wavelength, lP Planck’s length, and a a numerical constant. This yields a wavelength-dependent speed of light v(λ)=c/(1+a2(lP/λ)2), with c the usual speed of light in vacuo, indicating that the speed of light should decrease for sufficiently short wavelengths. We discuss the conceptual differences with the previous proposals related to a possible decrease of the speed of light for very short wavelengths based on quantum fluctuations of the space-time, as well as its consequences on Heisenberg’s uncertainty principle up to second order in lP.

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