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The Planck spectrum of thermal scalar radiation is derived suggestivelywithin classical physics by the use of an accelerating coordinate frame. Thederivation has an analogue in Boltzmann's derivation of the Maxwell velocitydistribution for thermal particle velocities by considering the thermalequilibrium of noninteracting particles in a uniform gravitational field. Forthe case of radiation, the gravitational field is provided by the accelerationof a Rindler frame through Minkowski spacetime. Classical zero-point radiationand relativistic physics enter in an essential way in the derivation which isbased upon the behavior of free radiation fields and the assumption that thefield correlation functions contain but a single correlation time in thermalequilibrium. The work has connections with the thermal effects of accelerationfound in relativistic quantum field theory.

Derivation of the Planck Spectrum for Relativistic Classical Scalar Radiation from Thermal Equilibrium in an Accelerating Frame