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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

Complete original mu01 Hardy reader has two calibrated entries and seven exact zeros

In the question: Automated construction of operator maps and sources

Whole evaluation of ONE original mu01 reader at the given NS kinetic point, both graphfaces and actualnormal gradingprojection. Not the entirephysicalYukawa or wholejointsource insertion. Other originalmu_ab are separateactualinputs whose formpullbacks, spin/NS/J andendpointmaps must be checked together. KO result uses the already declared G/96dictionary; carryJ_F in complexframe changes. No rawhierarchy/CKM inference, fittedweights, phases, state, time or zeroing of otherphysicalbranches. The actual maps and other five inputs are now closed in finding:whole-six-original-hardy-inputs-generate-full-family-coefficient-algebra; this entry remains the single-mu01 subproof.

Read the exact result, assumptions and evidence

Result

For the SAME actual inducedmu01 input, complete nine-entry family answer has only E02 and E21, with seven exactsupport/eta cancellations. ActualG/R endpoint calibration fixes the opposite second root and sameCCW orientation. Two genuine atan continuations give EXACT I21=-I02+pi(1-sqrt2)C, not a numerical phasefit. Independent root support/sign/orientation, rational derivative and70digit period replay confirm it. Matrix has rank2, cubezero. Reuse the already complete two-edgeKO theorem: under declared identical96family lift, neutralB rank32, fulloddcompletion rank64 and symmetricfamily singularvalues(r,r,0).

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.

  • 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.

  • Relative spin and reference Hardy cable on original three-cover

    Compare holomorphic Hardy shifts M_z on S0 tensor L and the same degree-zero coefficient line L over the original pi:C→P1_z. Spin half-forms give boundary norm; Fredholm convention is det kernel tensor inverse det cokernel. Relative line is spin line tensor inverse reference line. This defines a mathematical sewing contract, not an established identification with physical D_rel/D_ref or state.

  • Original oriented exterior carrier

    Given E=C5=E3⊕E2, a Hermitian metric, volume orientation, S± and Y=(-1/3)^3⊕(1/2)^2. Internal carrier labels are not physical vacua; geometric seam reflection is not identified with carrier conjugation.

  • Alternative chiral comparison of q columns with actual v252 P2 carrier

    For this explicitly alternative comparison identify actual G columns(L0,L2,L1) with supplied generation slots through whole signed P2 dictionary. D_E acts on gamma_F positive,barD_E on negative. Retain unchanged full_D with Y and symmetricMR,F5 structure,faces,graph state and given time. Do not silently replace earlier particlewise hypothesis. No P1 selection,global trivialization,new state/time or physicalE8gauge action assumed.

  • Actual full v252 gauge lift and original P2 comparison

    Given the full unchanged v252 constructor pi,J_F,gamma_F,D_F and its symbolic Yukawa/Majorana inputs. Compare real gauge lift U=pi(u)J_F pi(u)J_F^-1 on the connected unimodular branch lambda det(m)=1 with original oriented P2 carrier E3+E2,Y=(-1/3)^3+(1/2)^2. No full Spin10 source action is presumed. A cyclically fixed neutral family line is considered only with an expressly supplied sigma=(123) and eigenvalue1; its original physical selection is not assumed.

  • Whole unchanged induced mu01 reader on original NS halfmode

    Unchanged already defined induced mu01 input, original three q cables and J-supported p_(r+1), Phi0 and NS halfmode, fixed G/R roots, actual normal Clifford action and both graph faces. Complete evaluation of the same reader, not a freely selected whole physical source or C6 branch.

Original evidence

  • HARDY-BMU-FULL-MU01-READER.txt lines 1–136

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HARDY-BMU-FULL-MU01-READER.txt

    887016f28979a20ba0bfd5c473ed704d253be63ce05656fa9bb9817cb631f17a

  • ROOT-WHOLE-MU01-SUPPORT-AND-PERIOD-REVIEW.txt lines 1–75

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-WHOLE-MU01-SUPPORT-AND-PERIOD-REVIEW.txt

    75cbcb3a79d258d5a094346bf9afc8492d21a2399c1faf8d4217a6330d0f9336

  • HARDY-BMU-FIRST-NONZERO-ENTRY.txt lines 1–132

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HARDY-BMU-FIRST-NONZERO-ENTRY.txt

    57a86a6e51d78730e23d2e9763fa93f66dd1e001efdc9f3de5a383501334452b

  • HARDY-BMU-FULL-MU01-READER.json lines 1–142

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HARDY-BMU-FULL-MU01-READER.json

    8d95dfb8fbe78b8ea92c99db7fcc5794773f184d27e67f4ad3551436a069017a

  • ROOT-TWO-ACTUAL-HARDY-PERIODS-CHECK.json lines 1–10

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-TWO-ACTUAL-HARDY-PERIODS-CHECK.json

    e19fde1d00f64ee9b0317cba6e8a6b32296ca24873b8104f9007bd366f1771a6

  • ROOT-WHOLE-MU01-ALGEBRA-CHECK.json lines 1–7

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-WHOLE-MU01-ALGEBRA-CHECK.json

    aae767a96414daa334c6db929411c79412aaaeaca483644270963916f3932cde

  • CLAUDE42-GENERAL-FAMILY-KO-AND-SU2-REVIEW.txt lines 1–170

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE42-GENERAL-FAMILY-KO-AND-SU2-REVIEW.txt

    5029b23a17a31856d3b1cf74348fc2b83484f3f38e83ace5a3ecd01fa22c6904

  • HARDY-BMU-ALL-SIX-INPUT-READER.txt lines 1–174

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HARDY-BMU-ALL-SIX-INPUT-READER.txt

    3f720735fa509cdb982309d9dbeb896250a9eb799d7081426892be3053acd6ff

finding:complete-original-mu01-hardy-reader-has-two-calibrated-entries