Connecting blackbody radiation and zero-point radiation within classical physics: A new minimum principle and a status review
| dc.creator | Boyer, Timothy H. | |
| dc.date | 2002-06-12 | |
| dc.date.accessioned | 2026-07-07T05:47:41Z | |
| dc.date.available | 2026-07-07T05:47:41Z | |
| dc.description | A new thermodynamic analysis is presented for the intimate connections between blackbody radiation and zero-point radiation within classical physics. First, using the thermodynamic behavior of an oscillator under an adiabatic change of frequency, we show that the thermodynamic functions can all be derived from a single function of w/T, analogous to Wien's displacement theorem. The high- and low-frequency limits allow asymptotic energy forms involving T alone or w alone, corresponding to energy equipartition and zero-point energy. It is then suggested that the actual thermodynamic behavior for a harmonic oscillator is given by the function satisfying the Wien displacement result which provides the smoothest possible interpolation between scale-decoupled energy equipartition at low frequency and scale-invariant zero-point energy at high frequency. This leads to the Planck spectrum. Second, we turn to radiation in a box with conducting walls and a conducting partition so that the discrete normal mode structure of the box becomes important. The contrasting Casimir energies are explored for the Rayleigh-Jeans and zero-point spectra. The Rayleigh-Jeans spectrum involves no change of energy with partition position, and the zero-point spectrum involves no change of entropy. It is suggested that the Planck spectrum with zero-point radiation satisfies a natural minimum principle which corresponds to greatest independence of the system energy from the position of the partition for a fixed temperature. Numerical calculation is used for confirmation. Third, we review the previous derivations of the Planck radiation spectrum in classical physics, all of which involve zero-point radiation. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/physics/0206033 | |
| dc.identifier | http://arxiv.org/abs/physics/0206033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/84746 | |
| dc.subject | Classical Physics | |
| dc.subject | General Physics | |
| dc.title | Connecting blackbody radiation and zero-point radiation within classical physics: A new minimum principle and a status review | |
| dc.type | text |