We propose a generalized Einstein-Planck relation for photons which is invariant under the change l/alP to alP/l, l being the photon wavelength, lP Planck’s length, and a a numerical constant. This yields a wavelength-dependent speed of light v(l)= c/(1+a^2(lP/l)^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.

Jou, D., Mongiovi, M.S. (2011). Duality-invariant Einstein-Planck relation and the speed of light at very short wavelengths. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 84, 107303-1-107303-4 [10.1103/PhysRevD.84.107303].

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

MONGIOVI', Maria Stella
2011-01-01

Abstract

We propose a generalized Einstein-Planck relation for photons which is invariant under the change l/alP to alP/l, l being the photon wavelength, lP Planck’s length, and a a numerical constant. This yields a wavelength-dependent speed of light v(l)= c/(1+a^2(lP/l)^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.
2011
Settore MAT/07 - Fisica Matematica
Jou, D., Mongiovi, M.S. (2011). Duality-invariant Einstein-Planck relation and the speed of light at very short wavelengths. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 84, 107303-1-107303-4 [10.1103/PhysRevD.84.107303].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/61212
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