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.
|Numero di pagine||4|
|Rivista||PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY|
|Stato di pubblicazione||Published - 2011|
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