The bounded discrete thermal weight suppresses black-hole Hawking luminosity near the cutoff and supports an exact Jarzynski identity for work but not a simple Crooks relation.
• In the Rayleigh–Jeans regime βε ≪ 1, (4nP + 1) ∼ 4/ (βε) grows: the effective law underestimates the suppression
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Bounded thermal weights from a discrete Boltzmann factor
The bounded discrete thermal weight suppresses black-hole Hawking luminosity near the cutoff and supports an exact Jarzynski identity for work but not a simple Crooks relation.