Gravitational lensing of photons coupled to massive particles
J-F. Glicenstein

TL;DR
This paper explores gravitational lensing effects on particles oscillating between interaction states, deriving key equations and conditions for observing such phenomena, especially in photon-hidden photon oscillations.
Contribution
It introduces a model for lensing of particles undergoing state oscillations, providing new theoretical insights into photon-hidden photon interactions in gravitational fields.
Findings
Derived lensing equations for oscillating particles.
Identified conditions for observing coherent photon-hidden photon lensing.
Showed coupled photon acts as a massive particle with effective mass.
Abstract
The gravitational deflection of massless and massive particles, both with and without spin, has been extensively studied. This paper discusses the lensing of a particle which oscillates between two interaction eigenstates. The deflection angle, lens equation and time delay between images are derived in a model of photon to hidden-photon oscillations. In the case of coherent oscillations, the coupled photon behaves as a massive particle with a mass equal to the product of the coupling constant and hidden photon mass. The conditions for observing coherent photon-hidden photon lensing are discussed.
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