The Planck Blackbody Spectrum Follows from the Structure of Relativistic Spacetime

TL;DR

This paper demonstrates that the Planck blackbody spectrum can be derived purely from the structure of relativistic spacetime within classical physics, linking zero-point radiation and thermal radiation through conformal transformations.

Contribution

It provides a novel derivation of the Planck spectrum from spacetime geometry without quantum assumptions, emphasizing the role of zero-point radiation and conformal transformations.

Findings

Derivation of Planck spectrum from spacetime structure

Connection between zero-point and thermal radiation via conformal transformation

Planck spectrum obtained in Minkowski spacetime after transformation

Abstract

Here we show that within classical physics, the Planck blackbody spectrum can be derived directly from the structure of relativistic spacetime. In noninertial frames, thermal radiation at positive temperature is connected directly to zero-point radiation whose spectrum follows from the geodesic structure of the spacetime. The connection between zero-point radiation and thermal radiation at postive temperature is through a time-dilating conformal transformation in the noninertial frame. Transferring the spectrum back to Minskowski spacetime, the Planck spectrum is obtained.