Established in scope
Original twenty events factor into Hodge outputs and conditional four-phase record
In the question: Common clock sectors, quartic geometry and operational reconstruction
Outcome-dependent phase averaging before forgetting m,not one phase channel after coarsening. K4 is actual tested projective four-group,not automatically cyclic C4 clock. Proof in fixed event-label chart,without physical Bell10/Lambda²5 or SU5/native group identification. Classically merging20 outcomes does not restore lost coherences.
Read the exact result, assumptions and evidence
Result
For each of6 marks,old20 jump events group into5 blocks of4 with Hodge effectP_m/3 and same basis movement. Exactly R_l=D_l C_m onP_m;relative to baselineD0,H_l=D_lD0* form projective K4 with3 characters each multiplicity2. Psi_m=(1/4)sum Ad(H_lD0) after Phi_m. New/old Choi ranks peroutcome1/3,total5/15;superoperator ranks100/40. All60 ordered intersecting-duad coherences permark distinguish channels. No common10-label diagonal gauge for all5 baselines:complete finite test0 solutions permark.
Required assumptions
- Given five-slot exterior source with retained complement index
V=C5 with given oriented unitary slot basis and volume form,H=Lambda²V. C_m[kl,ij]=epsilon(m,i,j,k,l) are five distinct linear maps to conjugate target;their coherent sum is a different operation. Inner products and CAR grading remain explicit. No physical record,coupling or time iteration assumed from exterior algebra alone.
- Specified old J20 instrument in fixed six-mark duad chart
Actual twenty jump events U_l(I-D_l) per mark from compiler-correlated-event-clock-20260919/source_channel.py;J20 effect3I/5,normalized jump channel Psi=(5/3)J20. Retain common duad labels of ten basis states. Comparison chart does not provide linear SU5/native group identification of Bell10=Sym²C4 with Lambda²C5 or already selected P1 apparatus.
- 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
- HODGE-COMPLEMENT-CHANNEL.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/HODGE-COMPLEMENT-CHANNEL.txt
84b77f104497d6dd0910abb32b7274458f6725ba6e82d9543135b3bfd94dbffe
- HODGE-COMPLEMENT-CHANNEL.txt lines 201–400
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/HODGE-COMPLEMENT-CHANNEL.txt
84b77f104497d6dd0910abb32b7274458f6725ba6e82d9543135b3bfd94dbffe
- HODGE-COMPLEMENT-CHANNEL.txt lines 401–427
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/HODGE-COMPLEMENT-CHANNEL.txt
84b77f104497d6dd0910abb32b7274458f6725ba6e82d9543135b3bfd94dbffe
- hodge_complement_channel.py lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/hodge_complement_channel.py
72b04a5bf8b3bd805568af49dec76bd97926fcff4009a830137e2d318807522b
- hodge_complement_channel.py lines 201–400
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/hodge_complement_channel.py
72b04a5bf8b3bd805568af49dec76bd97926fcff4009a830137e2d318807522b
- hodge_complement_channel.py lines 401–600
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/hodge_complement_channel.py
72b04a5bf8b3bd805568af49dec76bd97926fcff4009a830137e2d318807522b
- hodge_complement_channel.py lines 601–605
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/hodge_complement_channel.py
72b04a5bf8b3bd805568af49dec76bd97926fcff4009a830137e2d318807522b
- result.json lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/result.json
811d82cbc63efee9551887ba3ddecb70c7330934d322069ae19f10de25025062
- result.json lines 201–329
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/result.json
811d82cbc63efee9551887ba3ddecb70c7330934d322069ae19f10de25025062
- source_channel.py lines 293–410
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/compiler-correlated-event-clock-20260919/source_channel.py
3852fabaf10c143fe20238b67406df6396f85c931dfd4834fe91a2d7ef900593
finding:original-twenty-events-factor-through-hodge-and-conditional-phase-record