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Conditional result

Sixty-record event channel: exact distance and continuous record parent

In the question: Automated construction of operator maps and sources

Exact finite channel and specified comparison construction; original source, physical timescale and record preparation not identified. Do not confuse rank change and semigroup theorem with a general exclusion of continuity.

Read the exact result, assumptions and evidence

Result

The given equally weighted R064 channel on Sym²(C4) has normalized Choi spectrum 0×45,(1/75)×45,(2/75)×9,(4/25)×1. An integer Gram polynomial and traces certify rank55; an F101 test certifies product rank100. The minimum half-diamond distance to unitary channels is exactly 21/25, from the maximal Choi overlap bound and Φ=(4/25)Id+(21/25)Ψ. A Hermitian involution parent with 60 records reproduces the given endpoint channel and allows continuous intermediate times; reused and fresh records produce different multitime answers. This concerns a different channel from the R088 Hodge P5 channel on Λ²(C5).

Required assumptions

  • Original sixty E8 events with unrefined record and typed Doily observables

    Given unchanged Gaussian E8 rays z in C4 of squarednorm4,r_z=I−zz*/2,actualH10=Sym²C4 in originalBellbasis,U_z=Sym²r_z and uniformunrefinedrecordbranchesB_z=U_z/sqrt60. Fifteen nontrivialPauliW_p are directionsmodulosign,Pi±rank2inC4,not15orthogonalsites. OriginaltensormapF defines J_p=F*(W_p⊗I+I⊗W_p)F and rank3 Q_p±=F*(Pi_p±⊗Pi_p±)F onH10. Namedpreparation/finaleffect are mathematicalprobes,notderivedphysicalstate. Noidentitywithstopped/refinedPetersenreader,physicalcuspclockor13Octoberloadedreflection.

  • 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

  • README.md lines 1–17

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/synthesis_20261102/README.md

    8f3d4c775dc0c458ab7f08968e7e3c9fdc1abc91f2a4dd06d77a38987a9b5f0d

  • check_source_parent.py lines 1–94

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/compiler-correlated-event-clock-20260919/synthesis_20261102/check_source_parent.py

    39c16e9702db4156e25366329215677748df23d99c54a584237c7a92eef092ac

finding:r064-sixty-record-channel-exact-distance-and-continuous-record-parent