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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Established in scope

Actual source-sector transport distinguishes identical Hodge marginals

In the question: Common clock sectors, quartic geometry and operational reconstruction

Exact comparison within given actual current representation,not new physics or P1-selected weights. ProvesPhi alone cannot identify source andspinor Kraus operators are not necessary for everyPhi realization. NS14 does not embed allH40 states inrawNS vacuum.4+6 is internal grading of ten pair labels,not new physical3+2 or spacetime dimension. No exclusion of neutral DHR route or allP1 sources.

Read the exact result, assumptions and evidence

Result

Same FoldM splits Ward input40/output40 asNS20+spinor20 andcreation30 asNS14+spinor16. All360 signed columns are168 sector-preserving and192 sector-changing. UniformNS14 has effects3,4,5 and no scalar TP normalization. Positive weights1/6 on8 actualNS roots and1/3 on6 give exactTP onH40 and family gainI4/3 for everyC_m,hence identical fullPhi marginal even for entanglement. This different process preserves source sector. Physical color e3-e2 takesNS e2+e6 tospinor e3+e6;NS14 support lacks full color covariance. Source gradingw=Me1=(e1+e2+e6+e7)/2 factorsPC tensorPF withcarrier dimensions4+6;pureNS20 inputs have only52 of100 carrier matrix directions.

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 eightfold even CAR quotient with marked charge and source time

    Use existing fold eta_r(x)=psi((x+2pi r)/8)/sqrt8, local even rank8 CAR algebra on punctured quotient circle, fixed D8 Cartan chart and q=(1)^8, original current normal ordering/Weyl rule, and declared K_alpha source time. DHR sector labels/local von Neumann statement use standard locally normal even-CAR reference/Haag-dual vacuum-net representation. Assume neither normal local P1 single-interval identification,primitiveOS time,spin-structure sum nor bounded sharp spinor field.

  • Given E8 fold with retained source charge and P2 grading

    Use the same explicit Weyl matrix M from v16-operator-pullback-20261014/fold-results.json, mu_alpha=(j+alpha q)/8 with q=(1)^8 and alpha=1/4 or3/4, Qsource=(Mq).H, and original P2 Cartan charge X=(-2,-2,-2,3,3,0,0,0). Given D5+A3 target frame and compact E8 current representation. Do not assume raw local P1 spinor-field map, executed spectral filter, new physical time or changed source phase.

Original evidence

  • SOURCE-SECTOR-RESPONSE.txt lines 1–162

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/local_source_origin_20261028/SOURCE-SECTOR-RESPONSE.txt

    d3a2ecd6c25e77a042a34636482d7826a17fba52de1ae18ba31ac7bc7f039cb3

  • check_source_sector_response.py lines 1–124

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/local_source_origin_20261028/check_source_sector_response.py

    3a7f2aff7076395b23e55aef744000747764c4f72c7d56ba9e48a7e90385cd45

  • source-sector-response-results.json lines 1–65

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/local_source_origin_20261028/source-sector-response-results.json

    9ff7a5a2635b81825a1fad5ac5c928c5517a12e33498dac2ec9bd2e983777d8b

  • INDEPENDENT-SOURCE-SECTOR-RESPONSE-REVIEW.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/local_source_origin_20261028/review/INDEPENDENT-SOURCE-SECTOR-RESPONSE-REVIEW.txt

    b5450ef601e2e63c8a894a4fa3f32c2d2be308810261e25200975ac21b0921db

  • INDEPENDENT-SOURCE-SECTOR-RESPONSE-REVIEW.txt lines 201–234

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/local_source_origin_20261028/review/INDEPENDENT-SOURCE-SECTOR-RESPONSE-REVIEW.txt

    b5450ef601e2e63c8a894a4fa3f32c2d2be308810261e25200975ac21b0921db

finding:actual-source-sector-transport-distinguishes-identical-hodge-marginals