
By substituting Hawking temperature (T_H = ℏc³/8πGMk_B) into the Infoton equation m = (k_B T ln(2))/c², I derive the information-energy mass at a black hole horizon: m = (ℏc)(ln(2))/(8πGM). This result shows Infoton mass is inversely proportional to black hole mass—as a black hole evaporates, information at its horizon becomes more massive. More generally, temperature mediates the coupling between information and spacetime geometry.
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