The Variation of Photon Speed with Photon Frequency in Quantum Gravity
Anuj Kumar Dubey, A. K. Sen, Sonarekha Nath
TL;DR
This paper derives how photon speed varies with frequency in quantum gravity, showing dependence on photon frequency, polarization, and Kerr black hole rotation, indicating observable quantum gravity effects.
Contribution
It introduces a new expression linking photon speed variation to quantum gravity effects, rotation, and polarization, based on a modified dispersion relation.
Findings
Photon speed depends on photon frequency and polarization.
Quantum gravity effects influence photon propagation speed.
Dependence on Kerr black hole rotation parameter.
Abstract
In the present work, an expression for Planck Mass or Planck Energy is derived by equating the Compton wavelength with the gravitational radius of the Kerr rotating body. Using the modified photon energy-momentum dispersion relation, the variation of the photon propagation speed with photon frequency is derived. It is found that, the photon propagation speed, depends on the frequency of the photon, the rotation parameter of the Kerr rotating body and also on the polarization state of the photon. Quantum gravity effect could be seen from the derived results for the photon propagation speed.
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