This analysis shows the derivation of the Planck blackbody spectrum through discrete click statistics, indicating a solution to the ultraviolet catastrophe.
Key Points
The aim is to derive the Planck blackbody spectrum from the Universal Processing Law without assuming energy quantization.
Derivation of the Planck blackbody spectrum from UPL axioms
Calculation of mode occupation numbers from Click budget
Maximization of microstates for Click allocation
The Bose-Einstein distribution was obtained, producing the Planck spectrum shape.
The ultraviolet catastrophe is resolved by combinatorial suppression of high-frequency modes.
Supportive derivations include accuracy in cosmological constant and Bekenstein-Hawking entropy.