Scaling Symmetries of Scatterers of Classical Zero-Point Radiation

Abstract

Classical radiation equilibrium (the blackbody problem) is investigated by the use of an analogy. Scaling symmetries are noted for systems of classical charged particles moving in circular orbits in central potentials V(r)=-k/r^n when the particles are held in uniform circular motion against radiative collapse by a circularly polarized incident plane wave. Only in the case of a Coulomb potential n=1 with fixed charge e is there a unique scale-invariant spectrum of radiation versus frequency (analogous to zero-point radiation) obtained from the stable scattering arrangement. These results suggest that non-electromagnetic potentials are not appropriate for discussions of classical radiation equilibrium.

13 pages

References in corpus (1)

• Connecting Blackbody Radiation, Relativity, and Discrete Charge in Classical Electrodynamics

Cited by in corpus (6)

• Blackbody Radiation in Classical Physics: A Historical Perspective
• Blackbody Radiation and the Scaling Symmetry of Relativistic Classical Electron Theory with Classical Electromagnetic Zero-Point Radiation
• Classical Zero-Point Radiation and Relativity: The Problem of Atomic Collapse Revisited
• Classical Physics of Thermal Scalar Radiation in Two Spacetime Dimensions
• Relativity and Radiation Balance for the Classical Hydrogen Atom in Classical Electromagnetic Zero-Point Radiation
• Thermal Radiation Equilibrium: (Nonrelativistic) Classical Mechanics versus (Relativistic) Classical Electrodynamics