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

Established in scope

State-independent creation branch removes stronger whole-process demand

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

Sector-resolved response needs actual designated branch with scalar effect. Exclusive C5 support of unread entire process is required only for unconditional purePhi total response. Orthogonal output grades already define mathematical instrument components; added hardware record is unnecessary. Full process retains actual2/5 Lambda1 carry. No physical event-time law,reset or raw P1 use follows. Process and state remain distinct.

Read the exact result, assumptions and evidence

Result

Previously verified full60 current process has canonical CP outputs E+ from carrier degree2 to3 and E- to1. Creationgain3 times familygain3 and annihilationgain2 times3 with totalgain15 give E+*(I)=3I40/5 and E-*(I)=2I40/5. Thus Q+=(5/3)E+ is CPTP and equals direct30 normalization1/9. Tr_F Q+=Phi Tr_F holds for entangled inputs. More generally L_r=sum_m C_m tensorF_rm with effect pI and independence of25 C_m†C_n forces operator-valued sum_r F_rm†F_rn=(p/3)delta_mn I, hence Tr_F E=pPhi Tr_F without uniform weights.

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 local E8_1 vacuum representation and explicit cocycle

    Positive level-one E8 lattice vacuum representation in orthonormal D5+D3 coordinates, declared simple-root cocycle, level-one Heisenberg Ward rules and internal quarter character v=(0^5,1/2^3). Insertions are separated. No raw-P1 pullback or physical time law is assumed or derived from this representation.

  • 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

  • STATE-INDEPENDENT-CREATION-BRANCH.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/process/STATE-INDEPENDENT-CREATION-BRANCH.txt

    46928fc36960292abe198aadc8546381924ad289782f85756a8dbe5697790d94

  • STATE-INDEPENDENT-CREATION-BRANCH.txt lines 201–256

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/process/STATE-INDEPENDENT-CREATION-BRANCH.txt

    46928fc36960292abe198aadc8546381924ad289782f85756a8dbe5697790d94

  • OPERATOR-VALUED-BRANCH-RIGIDITY.txt lines 1–90

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/process/OPERATOR-VALUED-BRANCH-RIGIDITY.txt

    c81495ad22225fe5e4701d4edfa0f876089d222d79750f2765809e76c0951dd6

  • REVIEW-WARD-U5-CREATION.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/closure/REVIEW-WARD-U5-CREATION.txt

    689479e440ecc891d9351688bc10e14463b2e4bc409d8cb25ac5266a41a17c38

  • REVIEW-WARD-U5-CREATION.txt lines 201–284

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/closure/REVIEW-WARD-U5-CREATION.txt

    689479e440ecc891d9351688bc10e14463b2e4bc409d8cb25ac5266a41a17c38

  • PROCESS-TYPE-AND-NORMALIZATION.txt lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/process/PROCESS-TYPE-AND-NORMALIZATION.txt

    3722740817bb6ec8346e948f4c7e4472bbb802603931712ccf3a0abf7e28983e

  • PROCESS-TYPE-AND-NORMALIZATION.txt lines 201–296

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/process/PROCESS-TYPE-AND-NORMALIZATION.txt

    3722740817bb6ec8346e948f4c7e4472bbb802603931712ccf3a0abf7e28983e

  • E8-CLIFFORD-RESPONSE.txt lines 1–104

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/E8-CLIFFORD-RESPONSE.txt

    7275087d997d689db69c360d96a37452743e096caae187b30a371c974123a771

  • SINGLE-PROCESS-WARD-CRITERION.txt lines 1–126

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/single_ward_refinement/SINGLE-PROCESS-WARD-CRITERION.txt

    4af9dd295fae970d03e90c224183d7ea635cc6e02f1c46587418e41eefa87a36

finding:state-independent-creation-branch-removes-whole-process-hodge-demand