On the finite-temperature quantum electrodynamics of gravitational acceleration

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Specific Calculations, Other Topics In General Relativity And Gravitation, Quantum Statistical Mechanics

Scientific paper

The temperature-dependent quantum-electrodynamic corrections to the Helmholtz free energy F of a particle at rest, and to its inertial mass minert, are the same: ΔF=Δminert=πe2(kT)2/3m. By contrast, the correction to the total energy U=F+TS is ΔU=-ΔF. Donoghue, Holstein, and Robinett have pointed out that if (as the equivalence principle appears to imply) weight is proportional to total energy, then the gravitational acceleration of a particle inside a blackbody cavity becomes g(m+ΔU)/(m+ΔF)~=g(1-2ΔF/m)

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