2026-06-22 (endgame round: the necessity of [formula in source] reduced to the order-4 CM selection, the QG metric sector characterized as the conformal-mode problem, [formula in source] and the [formula in source] commutation grounded in Lean: v331, v332, FORM.MU4COMM.01)
Research changelog · TFPT — Introduction and reading guide
v331_necessity_of_H.py ( QGEO.NECESS.01, / ). The necessity companion to v329: a concrete Steklov (DtN) computation shows the seam [formula in source] commutes with the [formula in source] clock iff the four marks sit at the square ( [formula in source] ) — moving a mark off the square breaks [formula in source] and [formula in source] . The square has cross-ratio [formula in source] ( [formula in source] ), the uniq
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/changelog/sections/016-source.tex · lines 23 to 48
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
- explicit file citation CartanDeterminants.lean
literal source filename/path in TeX
- explicit script identifier v304_idg_nonlocal_ghost.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v331_necessity_of_H.py
literal short identifier uniquely resolves in local script registry
- explicit claim identifier status_ledger.csv
exact local ledger claim identifier
- cross reference join BWKeystone.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts.wl
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 v332_qgamb_metric_sector.py
literal source filename/path in TeX
- explicit script identifier v201_seam_subprincipal_marks.py
literal short identifier uniquely resolves in local script registry
- cross reference join Mu4Commutation.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- 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
- explicit claim identifier status_ledger.csv
exact local ledger claim identifier
- explicit script identifier v76_gmetric_reduction.py
literal short identifier uniquely resolves in local script registry
- explicit script identifier v330_qgamb_admissible_measure.py
literal short identifier uniquely resolves in local script registry
- explicit script identifier v323_bw_geometric_modular.py
literal short identifier uniquely resolves in local script registry
- cross reference join AxiomCheck.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v216_marks_gauss_bonnet.py
literal short identifier uniquely resolves in local script registry
- explicit file citation Mu4Commutation.lean
literal source filename/path in TeX
- explicit script identifier v267_qgeo_rigidity_minimal_axiom.py
literal short identifier uniquely resolves in local script registry
- cross reference join tfpt_readouts_extension.wl
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v329_os_gap_reduction.py
literal short identifier uniquely resolves in local script registry
- cross reference join SeamDeckClosure.lean
TeX and evidence source explicitly name the same Python identifier; statement equivalence not inferred
- explicit script identifier v214_seam_pillowcase.py
literal short identifier uniquely resolves in local script registry
- explicit claim identifier status_ledger.csv
exact local ledger claim identifier
- explicit script identifier v332_qgamb_metric_sector.py
literal short identifier uniquely resolves in local script registry
- explicit claim identifier status_ledger.csv
exact local ledger claim identifier
- explicit file citation v331_necessity_of_H.py
literal source filename/path in TeX