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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

Original real delta jet reads the same marked Hardy open word

In the question: Automated construction of operator maps and sources

Actual original operator direction and executed real consumer. Does not insert the complex Hardy coefficient into Zadm/Y merely by direction matching. P0 is the marked endpoint, not Pstr or determinant-sector projector. Imaginary kappa is not a free real delta variation. Curvature is not physical mass/time. Preserve the already complete given seed.

Read the exact result, assumptions and evidence

Result

Actual common original frame identifies certified kappaM0P0 with the marked component of the ORIGINAL delta derivative. The original real-adjoint determinant consumer reads both sign branches and all three cusps. Paired marked-leg current is4delta^5/(y6-delta6), whole family derivative three times it. At exact original nonzero delta_star the full first response is exactlyzero; the same action has positive dimensionless curvature417.71513194757964. Independent symbolic identities and numerical replay confirm it.

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.

  • 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 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.

  • Original closed real delta transport action

    Original EM3 action on its invertible closed epsilon0 branch with real delta, fixed U6 and all three cusps. Use actual common Gbase dictionary U6=diag(M0,-M0) and fixed marked P0. This is not a newly chosen independently projected physical variation.

Original evidence

  • ORIGINAL-DELTA-JET-READS-THE-SAME-OPEN-WORD.txt lines 1–130

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-DELTA-JET-READS-THE-SAME-OPEN-WORD.txt

    bf15e9cd8604bbfaf74efd6aec821e53c828ca17fc40ad3d162ea5431f0d58fd

  • ROOT-ORIGINAL-JET-AND-FOUR-PATH-REVIEW.txt lines 1–101

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-ORIGINAL-JET-AND-FOUR-PATH-REVIEW.txt

    a917b2333628aa580666adec61c99f1701823cfe308cc47085bc1188cc565f68

  • ROOT-ORIGINAL-DELTA-JET-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-ORIGINAL-DELTA-JET-CHECK.json

    22f4af834eedd0ae60cdd6c3e52db955b7c27f7f112a903a2afe5843ee0dbf35

  • 003-subsection-discrete-phase-operator-and-transport-grammar.tex lines 100–250

    Source checked at this snapshot

    Original location and fingerprint

    documents/archive--tfpt-45--source_extracts--03_em_flavor_source/sections/003-subsection-discrete-phase-operator-and-transport-grammar.tex

    00a2cf1b249b77280dbbf6dfb41c91c77e08aa63e0f30b682d1a8a621f3dd7ec

  • FULL-MARKED-G-FRAME-AND-ORIGINAL-OPEN-WORD.txt lines 1–160

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/FULL-MARKED-G-FRAME-AND-ORIGINAL-OPEN-WORD.txt

    1090dbaa4bb2ab7bf3ed1f6cebbe4498bf794cd51e6e103502948c9f614e914e

finding:original-real-delta-jet-reads-same-marked-hardy-open-word