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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

Hard holonomy needs typed self-duality leg and separate complex phase readout

In the question: Automated construction of operator maps and sources

Exacttype/charactertest,notphysicalCPderivationorTFPTrefutation. Asymptoticissketchcontract,notactualboundednumericalprediction. Norepeatedmoduli/GAclassscan. ExistingSeedstate/timepreserved. FrozenPhi negativesdo notexcludegeometricallytransportedsource;physicalconnectionidentitynotassumed.

Read the exact result, assumptions and evidence

Result

All-pathv117E0covarianceholds. OriginalHomYruleandchiralbilinearruleneedtypedselfdualityleg;actualA4hasB=cIwithcω=barc,makingHB^-1transformbilinearly. Existenceisnotoriginalselection. Pureclosedtriangletraceofbarev117hasrealS4/A4charactersandonly0/piargument;directv117identity,purePiandnonrealCKMphasecannotallhold. ActiveRedteamplacesleadingpi/3inZ6phasefiber,selectednotderived. Broaderphysicalconnectionorexplicitadditionalobservablefactorallowed;oldratios/absoluteanchorretained.

Required assumptions

  • Original hard-holonomy contract with pure closed-triangle trace

    Read original45 flavor sources defineY from canonical minimal paths of a Hermitian family connection andPi_triangle=Hol12Hol23Hol31 as ordered closed holonomy,delta=argtrace. DisplayedPi includes neitherKstr nor extraZ6operator. Nonreal asymptotic is a readout contract to test,not completed physical derivation. Active source retains absolute wall selector;no automatic physicalconnection=v117.

  • Unchanged A0* Fuchsian equation and actual C4 clock

    Fix exactly v115 A0*, U=diag(1,i,-i), residues U^k A0* U^-k at i^k and regular base point z=0. Retain base rotation, positive meridian on t=z⁴ and simultaneous fiber basis change. No new Riemann Hilbert solution or D4 reflection lift is assumed.

  • Recovered genus2 cover with retained coefficients

    Retain exactly the older three-sheet cover C:w³=(z²-1)/(z²+1), eta=z(1-w³), eta²=1-w⁶, six Weierstrass points p_a=omega^a,q_a=-omega^a, given z base and clock markings. Seek actual flat coefficient lines for existing v117 monodromy, not mere permutation equivalence or an assumed field intertwiner.

  • 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

  • ORIGINAL-HOLONOMY-E0-SOURCE-REVIEW.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HOLONOMY-E0-SOURCE-REVIEW.txt

    58933c7051e1b008adecf553a607a93be768e0bbcfec17c6a50428a190f0982b

  • ORIGINAL-HOLONOMY-E0-SOURCE-REVIEW.txt lines 201–400

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HOLONOMY-E0-SOURCE-REVIEW.txt

    58933c7051e1b008adecf553a607a93be768e0bbcfec17c6a50428a190f0982b

  • ORIGINAL-HOLONOMY-E0-SOURCE-REVIEW.txt lines 401–497

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HOLONOMY-E0-SOURCE-REVIEW.txt

    58933c7051e1b008adecf553a607a93be768e0bbcfec17c6a50428a190f0982b

  • ROOT-HOLONOMY-AND-GRAPH-CHECK.json lines 1–33

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-HOLONOMY-AND-GRAPH-CHECK.json

    2baa2c4603ec6643a8d19743f592700a5ef98507224ec6965fdcdf0d27cbc39f

finding:hard-holonomy-selfduality-leg-and-finite-character-phase-separation