Established in scope
Graded field image precedes admissible observable restriction
In the question: Common clock sectors, quartic geometry and operational reconstruction
Typing correction of the required original interface. No assertion that the original full fermion/boson functional has been constructed; reviewed passages assume it. The existing full-CAR ground-state reduction remains conditional and unchanged.
Read the exact result, assumptions and evidence
Result
Original OS/CAR reconstruction concerns graded fields; A_adm instead restricts operators and their adjoints preserving the admissible space. Odd charged CAR fields therefore need not themselves lie in A_adm. Neither P_C=P_B nor an antiunitary P_C complement relation is a general requirement for complex CAR. Active modular closure induces D_rel from already supplied C_Sigma, which does not derive C_Sigma in reverse.
Required assumptions
- Original seam operators and explicit moment definition in the OS passage
Source basis: the original boundary core supplies selfadjoint tangential B_Sigma; the seam has winding and stated spectral flow one. EM later names an allegedly selected rank-one line. QFT defines S_n^T as log-Z derivatives and uses them as the OS family. These statements and operator identifications are audited at the originals, not assumed proved.
- Original P1, boundary, seed and local restriction definitions
Reviewed originals: P1 declares oriented seam, reflection-positive kernel, unit winding and c3; stronger T_boundary includes A_+ as data; operational seed takes A_loc, time, reflection, state, seam class and collar operator as inputs. A_adm(O) is A/A*-invariant restriction of supplied local insertions. Compare without P2/E8/target spinor assumptions and without presuming an original gauge/microscopic localization intertwiner.
Original evidence
- 001-section-primitive-core-and-carrier-interface-handoff.tex lines 302–343
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/001-section-primitive-core-and-carrier-interface-handoff.tex
7d6e673d99c29d950dc601283cd51c1cc0b113567eeb79c8396fec9c82a02c79
- 008-section-relative-reflection-positivity-with-fermions.tex lines 217–254
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--04_qft_source/sections/008-section-relative-reflection-positivity-with-fermions.tex
898aa879cf6a3eb6464d3180274bc2fc028408aeec9676af70a862dad9c3f4dc
- 002-section-closure-theorems-from-the-admissibility-complex.tex lines 256–316
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--04_qft_source/sections/002-section-closure-theorems-from-the-admissibility-complex.tex
61ecee7727bdec47936bbffc028d3dbac5260a025b6dbcce30124a60d635fc9c
- 010-section-the-explicit-mass-gap-closes-dynamics-and-cluste.tex lines 303–326
Source checked at this snapshot
Original location and fingerprint
documents/tfpt_2_standard_model/sections/010-section-the-explicit-mass-gap-closes-dynamics-and-cluste.tex
3a31f272d999f1e0b027f25a877068576c6cbdc83150c7b5c0f8a6e17bed1904
- OS-SOURCE-REPAIR.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/primitive-seam-operator-reconstruction-20261025/OS-SOURCE-REPAIR.txt
50bc771398e8a363a617c677f503f556c9f2adccf6e40cfcb460ca4eb9f55ba6
- OS-SOURCE-REPAIR.txt lines 201–375
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/primitive-seam-operator-reconstruction-20261025/OS-SOURCE-REPAIR.txt
50bc771398e8a363a617c677f503f556c9f2adccf6e40cfcb460ca4eb9f55ba6
- SPECTRAL-SEAM-RECONSTRUCTION.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/primitive-seam-operator-reconstruction-20261025/SPECTRAL-SEAM-RECONSTRUCTION.txt
45c472819667e7a981f7da4246d74d31e15104335e941cde0e0893808d674654
- SPECTRAL-SEAM-RECONSTRUCTION.txt lines 201–278
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/primitive-seam-operator-reconstruction-20261025/SPECTRAL-SEAM-RECONSTRUCTION.txt
45c472819667e7a981f7da4246d74d31e15104335e941cde0e0893808d674654
finding:graded-field-image-precedes-physical-observable-restriction