TY - JOUR

T1 - Duality-invariant Einstein-Planck relation and the speed of light at very short wavelengths

AU - Jou, D.

AU - Mongiovi, M. S.

PY - 2011/11/8

Y1 - 2011/11/8

N2 - 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 l P. © 2011 American Physical Society.

AB - 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 l P. © 2011 American Physical Society.

U2 - https://doi.org/10.1103/PhysRevD.84.107303

DO - https://doi.org/10.1103/PhysRevD.84.107303

M3 - Article

VL - 84

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

M1 - 107303

ER -