Established in scope
Original Ward source and P2 grading determine the smaller creation thirty
In the question: Common clock sectors, quartic geometry and operational reconstruction
Closes smaller algebraic bridge under given local E8 representation and oriented Ward comparison. No added physical SU5 gauge, mandatory family A4 closure or hardware measurement. Original U5 is scalar on fixed carrier degree; theorem uses uniquely extended adjoint current action. E_lambda is old-source bosonic current of Qsource4, not raw P1 single fermion. Algebraic selection alone derives neither local Xi nor actual response policy.
Read the exact result, assumptions and evidence
Result
Original D5+A3 target g2=(10,6) splits into Creation30=(5,6) of U5 residue3 and Annihilation30 of residue2. Neutral SU5_C times D3_F orbit of stipulated lambda_A=e3+e6 is exactly Creation30. Full E8 residue3 instead has50=30g2+20g3; joint internal quarter grade2 and U5 residue3 selects30. Actual Chevalley amplitudes Lambda2 C5 tensor4 to Lambda3 C5 tensorbar4 have360 signed columns and gain9I40 on both sides. With pinned joint CAR phases, normalization1/9,Hodge and family trace, full carrier Hodge channel follows for arbitrary inputs. Color18 and weak12 separately have nonscalar effects; marked union has scalar gain.
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
- WARD-U5-CREATION-CHANNEL.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/WARD-U5-CREATION-CHANNEL.txt
03adbed045f9269eb4e4ca2c534426ee8066aa9d12b765bde482528eef238ec7
- WARD-U5-CREATION-CHANNEL.txt lines 201–282
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/closure/WARD-U5-CREATION-CHANNEL.txt
03adbed045f9269eb4e4ca2c534426ee8066aa9d12b765bde482528eef238ec7
- 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
- check_ward_d5a3_creation_channel.py 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/check_ward_d5a3_creation_channel.py
0ea0b00f8c17d53789b5459979eda319bd475abd92d93ce6f8562a61925ba8fb
- check_ward_d5a3_creation_channel.py lines 201–369
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/closure/check_ward_d5a3_creation_channel.py
0ea0b00f8c17d53789b5459979eda319bd475abd92d93ce6f8562a61925ba8fb
- ward-d5a3-creation-channel-results.json lines 1–96
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/closure/ward-d5a3-creation-channel-results.json
fb045945fa2fb17c2b9b8d458104a2f2c8574e5171672365cb5e4000d5e0ba92
- PROOF.txt lines 602–675
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-joint-ward-state-20261014/PROOF.txt
7c0cd92dfc5eca88260baae0af9edad66f958a27ce0d15d7965414b3971f8da0
- 003-subsection-character-trace-identities-and-the-abelian-in.tex lines 175–228
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--02_carrier_source/sections/003-subsection-character-trace-identities-and-the-abelian-in.tex
dbd7f1020e414aeaa35ab3a7191fc5863d6b0afda270a2e347e9a0d6af2b0284
finding:original-ward-and-p2-grading-select-smaller-creation-thirty