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).
Black holes are one-dimensional
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abstract
The holographic principle has revealed that physical systems in 3-D space, black holes included, are basically two-dimensional as far as their information content is concerned. This conclusion is complemented by one sketched here: as far as entropy or information flow is concerned, a black hole behaves as a one-dimensional channel. We define a channel in flat spacetime in thermodynamic terms, and contrast it with common entropy emitting systems. A black hole is more like the former: its entropy output is related to the emitted power as it would be for a one-dimensional channel, and disposal of an information stream down a black hole is limited by the power invested in the same way as for a one-dimensional channel.
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2026 1verdicts
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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).