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Planck's Distribution Law and Photon Statistics

The abstract theory posits that electromagnetic radiation is quantized into discrete packets called photons, with energy proportional to frequency ($E = h\nu$). This mechanism resolves the ultraviolet catastrophe by imposing a probability distribution on spectral radiance derived from Planck's Law, which dictates that photon emission intensity depends exponentially on the ratio of quantum energy to thermal average energy ($kT$) rather than increasing indefinitely at high frequencies. Consequently, the blackbody radiation spectrum exhibits a peak and subsequent decline in the ultraviolet region because the availability of photons with energies significantly exceeding $h\nu \gg kT$ becomes statistically negligible within thermodynamic equilibrium systems.