The photon is considered to be a ”particle” with no mass and no charge,
but to observe individual photons appears to be extremely difficult. In fact,
the existence of photons seems to be highly hypothetical with the main purpose
of explaining black-body radiation and the photoelectric effect. If explanations
of these phenomena may be given using classical wave mechanics,
maybe the existence of photons as particles without both mass and charge
may be seriously questioned, including statistical particle mechanics, as Einstein
himself did during the later half of his life [16, 10, 11, 12, 14, 18].
Figure 4.5: Wien’s Displacement Law.
The scientific price of resorting to statistical mechanics is high, as was
clearly recognized by Planck and Einstein, because the basic assumption of
statistical mechanics of microscopic games of roulette seem both scientifically
illogical and impossible to verify experimentally. Thus statistical mechanics
runs the risk of representing pseudo-science in the sense of Popper [?] because
of obvious difficulties of testability of basic assumptions.
The purpose of this note is to present an alternative to statistics for blackbody
radiation based on finite precision compuation in the form of General
Galerkin G2. We also extend to include aspects of photo-electricity and the
Compton effect.