Casimir Self-Interaction Energy Density of Quantum Electrodynamic Fields

Quantum electrodynamic fields possess fluctuations corresponding to transient particle-antiparticle dipoles, which can be characterized by a nonvanishing polarizability density. Here, we extend a recently proposed quantum scaling law to describe the volumetric and radial polarizability density of a quantum field corresponding to electrons and positrons and derive the Casimir self-interaction energy (SIE) density of the field, E over bar SIE, in terms of the fine-structure constant. The proposed model obeys the cosmological equation of state w = -1 and the magnitude of the calculated E over bar SIE lies in between the two recent measurements of the cosmological constant ? obtained by the Planck Mission and the Hubble Space Telescope.

Automated summary

Quantum electrodynamic fields exhibit fluctuations in the form of particle-antiparticle dipoles, characterized by a nonvanishing polarizability density. In this study, a quantum scaling law is extended to describe the volumetric and radial polarizability density of a quantum field associated with electrons and positrons, and the Casimir self-interaction energy density (E over bar SIE) of the field is derived in terms of the fine-structure constant. The proposed model satisfies the cosmological equation of state w = -1 and the calculated E over bar SIE falls within the range of the recent measurements of the cosmological constant ? obtained by the Planck Mission and the Hubble Space Telescope.