Theorem (Bethe nuclear-temperature canonical): the Hardy-Ramanujan / Fermi-gas leading entropy S(E) = 2 sqrt(a E) defines the microcanonical temperature T(E) via 1/T = dS/dE = sqrt(a/E), yielding T = sqrt(E)/sqrt(a) exactly. Canonical…
Theorem (Bethe nuclear-temperature canonical): the Hardy-Ramanujan / Fermi-gas leading entropy S(E) = 2 sqrt(a E) defines the microcanonical temperature T(E) via 1/T = dS/dE = sqrt(a/E), yielding T = sqrt(E)/sqrt(a) exactly. Canonical…