Quantum Theory / Particle Physics
June 12, 2018
Relativistic quantum electrohydrodynamics, Casimir energy, radius and charge density of a self-interacting proton
In the present paper the relativistic quantum electrohydrodynamic fundamental equations are solved for a self-interacting proton. The attractive Casimir force, which results from the interaction of vacuum photons with absorbed and emitted photons inside the proton, is calculated using the Euler-MacLaurin sum formula. Quantum electrohydrodynamic calculations give for a self-interacting proton the shape of a spherical shell at 200.0524 fm with a radial extension of 0.17829 fm . Since these values do not agree with the experimentally determined proton radius of rp = 0.84087 fm , it must be concluded that the charge density of the proton cannot be explained solely by the self-interaction of the proton.