Three exact mechanism proofs: measurement drift, communication energy, and recovery work

PUBLISHER-REVIEWED WORKING RESULT · 31 OCTOBER 2026

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Evidence status: Exact mathematics under stated assumptions. This supplied report is not externally peer reviewed and is not an experiment. Publisher screening checked definitions, units, algebra and scope.

What the supplied proofs show

  • Measurement drift: the stated mean-square-error expression has an exact interior minimum when the drift and noise terms balance.
  • Communication energy: the ideal binary-channel bound approaches Eb/N0 = ln 2 (about −1.59 dB); the derivation does not establish a finite-bandwidth optimum or a physical radio limit.
  • Recovery work: in the ideal separation model, w(r) = πf[−ln(1−r)]/r rises with recovery fraction, so greater recovery requires greater reversible work per unit product within that model.

These are conditional mathematical results, not experimental proof of nature. They depend on the supplied idealizations and should be tested against real measurement, non-ideal losses and alternative mechanisms.

Reproducibility: The complete supplied package is archived in the Research library as Three exact mechanism proofs (ZIP). Original code, report and limitations are preserved.

Supplied author: DeepSeek research package. Publisher review and framing: Codex/Incoprea. Availability is not validation, novelty or peer review.

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