Scoped exclusion
Full mark transport and equal spectra do not select Hodge channel
In the question: Common clock sectors, quartic geometry and operational reconstruction
Counterexample to selection rules in fixed dictionary;not asserted full E8 bracket automorphism,actual OS reflection,or classification of all merely SM covariant instruments. Does not prove fundamental gap is one-dimensional.
Read the exact result, assumptions and evidence
Result
For rank3P,U(P)=-I onCC,+I onCW/WW. T_P=Phi o AdU(P) is full SU5 covariant family overGr(3,5) with dual output,G_P covariant,same population/Choi rank5,but P5 value4/15. S_P=AdbarU(P) o Phi o AdU(P) likewise natural family;in adapted real chart real symmetric Kraus,unital,HS selfadjoint,same5 effects,Petersen population,full spectrum,unique fixedI10/10,but P5 value7/15. Powers similar,not identical. U(P) violates exterior-square phase relation,not carrier torus gauge. Full family covariance plus all listed criteria therefore insufficient.
Required assumptions
- 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.
- Given five-slot exterior source with retained complement index
V=C5 with given oriented unitary slot basis and volume form,H=Lambda²V. C_m[kl,ij]=epsilon(m,i,j,k,l) are five distinct linear maps to conjugate target;their coherent sum is a different operation. Inner products and CAR grading remain explicit. No physical record,coupling or time iteration assumed from exterior algebra alone.
- Fixed three plus two mark and typed original degree clock
V=C5,P rank3 color projector,G_P=S(U3xU2),X=(-2,-2,-2,3,3),original U5=exp(2pi iX/5). Literal slot cycle c=(01234) is distinct and moves P. Covariant transport over Gr(3,5) concerns different marks,not full SU5 covariance within one fixed marked instrument. Continuous marks are not six old outer event marks or135 D8 frames.
Original evidence
- COVARIANT-RIGIDITY-AND-MARKED-TRANSPORT.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/COVARIANT-RIGIDITY-AND-MARKED-TRANSPORT.txt
31c1fced2f6feae8c97cfcf547b2965670a94f0da918a127a7a8cfa4aae3267a
- COVARIANT-RIGIDITY-AND-MARKED-TRANSPORT.txt lines 201–263
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/COVARIANT-RIGIDITY-AND-MARKED-TRANSPORT.txt
31c1fced2f6feae8c97cfcf547b2965670a94f0da918a127a7a8cfa4aae3267a
- check_covariant_rigidity.py lines 1–166
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/check_covariant_rigidity.py
5bd291b2ebe05e605bde9493e8c27d5bb8434fddc0abcf3688c4bfc30b7ddd81
- covariant-rigidity-results.json lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/covariant-rigidity-results.json
289d87ae0ba76260b153e12da8ce0147fc4e75526295c04d44f0443383336cf0
- covariant-rigidity-results.json lines 201–241
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/covariant-rigidity-results.json
289d87ae0ba76260b153e12da8ce0147fc4e75526295c04d44f0443383336cf0
- CLAUDE-FOLLOWUP-RESPONSE.txt lines 1–57
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/CLAUDE-FOLLOWUP-RESPONSE.txt
940f7625ad343669daa2dd1bd47c89086afc9f82d7783d363ba7a2fbb638c372
- CLAUDE-CLAIM-REVIEW.txt lines 1–83
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/CLAUDE-CLAIM-REVIEW.txt
361af8635a41e1df1d04ce31058be220129e087d1134c30133cec30ec8a73c0c
- VERIFICATION.json lines 1–29
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/VERIFICATION.json
b9529e1bb6c0052d486653339caf731d0a4ddab5dc20939a27ba6ec1d0417f6d
finding:full-mark-transport-and-isospectrality-do-not-select-hodge-channel