Scoped exclusion
Original bilocal current and natural Hodge amplitude decide two concrete Petersen candidates
In the question: Common clock sectors, quartic geometry and operational reconstruction
Only direct bilinear candidate and linear Hodge gauge identification excluded. C_v is not defined as physical operator in v474. No general exclusion of quantum probabilities,quartics,original source or E8. Existing Bell Petersen population process retained,not reinterpreted as source dictionary despite incompatible Sym²C4/Lambda²C5 representations.
Read the exact result, assumptions and evidence
Result
Original bilocal current a_r* a_s changes at most one occupied index and has zero matrix element on all30 directed Petersen edges of disjoint two-words. New natural candidate C_v=*(v wedge .),v=(1,...,1),matches disjointness support exactly,but C_v³=5C_v and chi=lambda^4(lambda²-5)^3. Six of twelve pentagons have negative flux;diagonal phase gauge or orientation does not yield A_Pet. This concerns linear operator equality. Born readout of squared moduli is a distinct specifically tested route and is not excluded merely by this sign result. Existing quartic fields and two-boundary state do not define marked Lambda²C5 compression with weights,compensating charge and time.
Required assumptions
- Specified Petersen shells and full finite family recursion
v808: ten two-element subsets of five marked slots, disjointness adjacency and radial P=[[0,1,0],[1/3,0,2/3],[0,1/3,2/3]] on H_pi with pi=(1,3,6)/10 and Y=diag(6,-4,1). v486/v487: M=[[1,0,0],[0,1/2,1/6],[0,1/6,1/2]], deck swap Delta of final two slots. v395: given affine E8 adjacency A,T_net=(A+2I)/4 and given 1:6 scheduler. These finite operators are compared without assuming identification with P1 fields,electromagnetic charge or physical time.
- Original quarter CAR source with fixed fold and current dictionary
The already supplied single-channel CAR source with actual quarter domains alpha=1/4,3/4, negative-D sea, positive original excitation time, unitary eightfold F and actual channel diagonalization is fixed. M,O,U+ and the conformal NS point-splitting reference are the same original dictionary data; the single delta counterterm follows from the kernel difference. Even CAR current composites retain full arc correlations, charges, domains, all modes, original time and the existing subtraction prescription including finite derivative counterterms. No E8 root/spinor extension is assumed for this neutral current subalgebra. Identity with the original P1 net, Theta, collar and reference sector is not supplied. Real profiles and pulse strengths are intervention data.
- 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
- PETERSEN-TWO-BOUNDARY-SOURCE-TEST.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/dynamic_reconstruction_20261027/PETERSEN-TWO-BOUNDARY-SOURCE-TEST.txt
93ca2703010325591ce83218a559793373787f888e0b305d750f2f26f216fa2f
- PETERSEN-TWO-BOUNDARY-SOURCE-TEST.txt lines 201–305
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/dynamic_reconstruction_20261027/PETERSEN-TWO-BOUNDARY-SOURCE-TEST.txt
93ca2703010325591ce83218a559793373787f888e0b305d750f2f26f216fa2f
- HODGE-BORN-SOURCE-TEST.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/dynamic_reconstruction_20261027/HODGE-BORN-SOURCE-TEST.txt
49d0c4fe47baa2284e95d5600a8591d614b0ae24266443ea824a8bf98e9d3344
- HODGE-BORN-SOURCE-TEST.txt lines 201–217
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/dynamic_reconstruction_20261027/HODGE-BORN-SOURCE-TEST.txt
49d0c4fe47baa2284e95d5600a8591d614b0ae24266443ea824a8bf98e9d3344
finding:petersen-source-current-and-hodge-candidates-fail-physical-identification