Manuscript Hawk04-D@1 · Hawk04-D-v1.tex · section · 39b16f67

The luminosity and clock are additional inputs

Stage 3: energy, erasure cost, and a conditional mass law › The luminosity and clock are additional inputs · lines 1453–1472

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Massive thresholds, changing species, rotation, charge, incoming radiation, or time-dependent validity assumptions can change this specialization. No coefficient or Planck-scale extrapolation is predicted by the finite Enter interface.

Moreover, temperature matching without a clock is insufficient even abstractly: traversing the same sequence of thermal states with a rescaled time parameter preserves those state observations while changing its duration. A lifetime requires a flux-and-time law.

The theorem predicts time to a positive cutoff under its explicit luminosity assumptions. It does not predict the remaining lifetime, final burst, or remnant behavior below that cutoff. Finite termination of an imposed schedule supplies none of those missing physical conclusions.

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