2026-06-24 (Lean 4: FORM.SPECTRALGAP.01 formalises the scalar core of the universal spectral-gap principle)
Research changelog · TFPT — Introduction and reading guide
FORM.SPECTRALGAP.01 — a Lean 4 proof of the gap [formula in source] unique-attractor [formula in source] parameter-free core (door 4). New module TfptCarrier/SpectralGapAttractor.lean ( lake build OK, no sorry, only the three standard kernel axioms), formalising the meta-theorem of v303/ v383/ v387 at the one-dimensional reduction — the affine gap contraction [formula in source] with multiplier [formula in source] .
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/changelog/sections/013-source.tex · lines 325 to 340
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- explicit lean symbol SpectralGapAttractor.lean
exact texttt symbol under explicit Lean/theorem context
- cross reference join SpectralGapAttractor.lean
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- explicit script identifier v383_dynamics_universal.py
literal short identifier uniquely resolves in local script registry
- explicit lean symbol SpectralGapAttractor.lean
exact texttt symbol under explicit Lean/theorem context
- explicit lean symbol SpectralGapAttractor.lean
exact texttt symbol under explicit Lean/theorem context
- explicit claim identifier status_ledger.csv
exact local ledger claim identifier
- explicit file citation SpectralGapAttractor.lean
literal source filename/path in TeX
- explicit script identifier v387_corrections_gap.py
literal short identifier uniquely resolves in local script registry
- explicit lean symbol SpectralGapAttractor.lean
exact texttt symbol under explicit Lean/theorem context
- explicit script identifier v303_ftransfer_dynamics.py
literal short identifier uniquely resolves in local script registry