2026-06-14 (cracking the bedrock to a state-invariance: principal symbol [formula in source] Tomita–Takesaki — v198)
Research changelog · TFPT — Introduction and reading guide
v198_modular_commutator_reduction.py \ (claim QGEO.MODULAR.01). The decisive crack on the last residual. (1) \ the DtN principal symbol [formula in source] and the clock [formula in source] are both diagonal in the Fourier basis, so [formula in source] exactly on all of [formula in source] (verified on 33 modes) — the leading-order commutation is free on the whole boundary, never the open part. (2) \ by Tomita–Takesa
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/changelog/sections/020-source.tex · lines 222 to 241
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit claim identifier status_ledger.csv
exact local ledger claim identifier
- cross reference join MobiusUniformisation.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join AuditContract.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit file citation v198_modular_commutator_reduction.py
literal source filename/path in TeX
- explicit script identifier v198_modular_commutator_reduction.py
literal short identifier uniquely resolves in local script registry
- cross reference join CohomologyGrading.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v194_raw_seam_dtn_rp.py
literal short identifier uniquely resolves in local script registry
- explicit claim identifier status_ledger.csv
exact local ledger claim identifier
- cross reference join SeamDeckClosure.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join AxiomCheck.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v177_seam_marking_kernel.py
literal short identifier uniquely resolves in local script registry