Derives Planckian graviton spectrum ω³/(e^{2π c ω/κ}-1) from imaginary-time periodicity of a quadrupole source, yielding finite energy and number.
Infrared acceleration radiation
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abstract
We present an exactly soluble electron trajectory that permits an analysis of the soft (deep infrared) radiation emitted, the existence of which has been experimentally observed during beta decay via lowest order inner bremsstrahlung. Our treatment also predicts the time evolution and temperature of the emission, and possibly the spectrum, by analogy with the closely related phenomenon of the dynamic Casimir effect.
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2026 2representative citing papers
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).
citing papers explorer
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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).