A minimum purification time for evaporating black holes is derived as scaling with M0^4/hbar^{3/2}, becoming exponential in initial area under a metastability assumption for Planck-scale holes, implying white-hole remnants.
On Radiative Fluxes and Coulombic Charges in the Balance Law for Black Hole Evaporation,
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Derives Planckian graviton spectrum ω³/(e^{2π c ω/κ}-1) from imaginary-time periodicity of a quadrupole source, yielding finite energy and number.
An exactly solvable non-uniform electron trajectory yields classical radiation whose spectrum is precisely one-dimensional Planck, defining temperature T = ħκ/(2π k_B c).
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Minimum lifetime of a black hole
A minimum purification time for evaporating black holes is derived as scaling with M0^4/hbar^{3/2}, becoming exponential in initial area under a metastability assumption for Planck-scale holes, implying white-hole remnants.
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Planckian Gravitons from an Imaginary-Time Clock
Derives Planckian graviton spectrum ω³/(e^{2π c ω/κ}-1) from imaginary-time periodicity of a quadrupole source, yielding finite energy and number.
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An advanced undergraduate derivation of acceleration thermality
An exactly solvable non-uniform electron trajectory yields classical radiation whose spectrum is precisely one-dimensional Planck, defining temperature T = ħκ/(2π k_B c).