Established in scope
Archived D4 puncture formula fails; existing v117 repairs existence
In the question: Common clock sectors, quartic geometry and operational reconstruction
Concrete mathematical erratum of archived TFPT45/42 formula. Preserve originals. Exact v117 representation remains valid;analytic ODE match and later anchor/resonance premises retain their own status. No blanket P2 exclusion or silent paper edit.
Read the exact result, assumptions and evidence
Result
Literal TFPT45 archive section004 assigns D,PDP^-1,P²DP^-2 and their inverse product as fourth monodromy. Printed matrices have triple productI,so fourth monodromyI instead of cusp spectrum(1,omega,omega²). P³I does not implement a quarter turn. Unchanged v117 gives exact existence repair M_k=U^kM0_EXACTU^-k,k0..3 with productM_k=I and every required local class. This does not prove uniqueness from local spectra,det and abstractD4 alone. Active TFPT2 already states bare Z4 nonrigidity and global parabolic additional data. Two independent original-source reviews separate archive defect from current theory.
Required assumptions
- Original P2 order-three cusp class and stable bundle anchor
Target the original P2 Deligne class with cusp weights0,1/3,2/3 and holomorphic anchor O(-2)+O(-1)^2. Exact v117 M0_EXACT has polynomiallambda³−1,trace0,order3;its joint representation with U is irreducible. Keep these exact matrix properties distinct from the numerical ODE identification there. Test whether the natural scalar/spin pushforward of existing C2 realizes this actual connection;physical selection of the direct sum as flavor module is not presumed.
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Original evidence
- C3-PAPER-INDEPENDENT-REVIEW.txt lines 1–190
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/C3-PAPER-INDEPENDENT-REVIEW.txt
a866494f4a88ab94cdc66bb97d824a6445fcb4e4a301c7807a373ba2fbc2c802
- C3-PAPER-INDEPENDENT-REVIEW.txt lines 191–270
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/C3-PAPER-INDEPENDENT-REVIEW.txt
a866494f4a88ab94cdc66bb97d824a6445fcb4e4a301c7807a373ba2fbc2c802
- EXISTING-C3-SOURCE-DICTIONARY.txt lines 1–190
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/EXISTING-C3-SOURCE-DICTIONARY.txt
9653148d8235dff822254d2b5be96da73f17c374741e1d6275d0e3e649826817
- EXISTING-C3-SOURCE-DICTIONARY.txt lines 191–380
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/EXISTING-C3-SOURCE-DICTIONARY.txt
9653148d8235dff822254d2b5be96da73f17c374741e1d6275d0e3e649826817
- EXISTING-C3-SOURCE-DICTIONARY.txt lines 381–395
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/EXISTING-C3-SOURCE-DICTIONARY.txt
9653148d8235dff822254d2b5be96da73f17c374741e1d6275d0e3e649826817
- check_spin_transport_and_cusp.py lines 1–144
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/check_spin_transport_and_cusp.py
590c83f4347957009aca9ccbbd5eefe848425f0b5c26b0a7ba0e5fbf99eaac6a
- spin-transport-cusp-results.json lines 1–33
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/spin-transport-cusp-results.json
0630c3c9ca65d10b083c4ea891f3f294e1e7f78bd31c3b2e6ad207767aeb06ce
finding:archived-d4-puncture-formula-fails-and-existing-v117-repairs-existence