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spec(physics): physical_limits -- the published bounds on computation, a GPU token priced against them (Closes #10291) - #10292
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…ann, Bekenstein and holographic bounds, a GPU token priced against them (Closes #10291) Five published bounds on computation as functions of CODATA 2022 constants (hbar derived as h / (2 pi), never the truncated value), 15 tests, all routed through fns. A Schwarzschild horizon saturates the Bekenstein and holographic bounds to 1e-12, which cross-checks the constants. One GPU token is priced at 3.5e19 times its Landauer cost; only the per-prompt energy (Elsworth et al. 2025, 0.24 Wh) is sourced, the rest is labelled UNVERIFIED and the verdict is shown to survive four decades of that input. No constant comes from the n*3^k*pi^m*phi^p*e^q lattice. Verified on the Railway lab: 15/15 pass, 0 vacuous; a truncated hbar fails 7 tests and a missing ln 2 fails 2. Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
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October 18, 2026 07:45
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Closes #10291
Adds
specs/physics/physical_limits.t27: Landauer, Margolus-Levitin, Bremermann, Bekenstein and the holographic bound as functions of CODATA 2022 constants, so compilation, next-token generation and particle simulation can each be priced against them.What it checks (15 tests, every assert goes through a fn):
What it does not claim: no machine is near these limits, the ratios are floors rather than efficiency scores, and the holographic bound is used as a sourced formula, not as a claim that the universe is a hologram. G has 2.2e-5 relative uncertainty, so G-dependent values are good to about 1e-5.
No constant comes from the n * 3^k * pi^m * phi^p * e^q lattice.
Verification (Railway lab, test-report): 15 pass, 0 fail, 0 vacuous. Planted faults: a truncated hbar fails 7 tests, a missing ln 2 in Landauer fails 2. ASCII only;
tools/dupe_scan.py --likereports nothing in this file is written elsewhere. The repo-widetools/dupe_scan.pygate already exits 1 on master (ahex_digitgroup, unrelated); this PR adds no group.🤖 Generated with Claude Code