Photon in the Earth-ionosphere cavity: Schumann resonances

Abstract

We study a quantum analogy of Schumann resonances by solving massless and massive spin-1 particle equations derived from the Zitterbewegung model in an annular cavity background with poorly conducting walls. We also show that the massless case and the massive case in the $m_0^2\to 0$ limit are compatible with Maxwell's electromagnetic theory. Furthermore, from the massive case, we predict an upper limit for the mass of the photon of 1.3x$10^{-50}$kg. The bound on the mass of the photon is compatible with the current limit in the literature.

8 pages, 1 table, accepted for publication in Astrophysics and Space Science

References in corpus (5)

• FRB 121102 Casts New Light on the Photon Mass
• Subtraction of correlated noise in global networks of gravitational-wave interferometers
• A Bayesian Framework to Constrain the Photon Mass with a Catalog of Fast Radio Bursts
• Globally coherent short duration magnetic field transients and their effect on ground based gravitational-wave detectors
• Schumann resonance transients and the search for gravitational waves

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