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 -