Established in scope
Charged source quarter recovers inverse internal glue character
In the question: Common clock sectors, quartic geometry and operational reconstruction
Exact joint character identity on same marked source, no fitted extra clock or discarded charged phase. Lattice proof extends beyond complete240-root check. Closes this internal clock comparison; identifies neither affine winding, NS/R transition nor OS time. Actual local P1 use of filter remains part of Xi.
Read the exact result, assumptions and evidence
Result
For actual given fold holonomy g_alpha=exp(2pi i Mmu_alpha.H), entire E8 lattice module satisfies g_alpha²=exp(2pi i alpha Qsource/4) Cint^-1. With c0=M(j/4)=(-1,0,2,-1,0,3/2,-1/2,-1/2) and v=(0^5,1/2^3), c0+v=(-1,0,2,-1,0,2,0,0) belongs toD8 subsetE8=E8*. Inverse is essential: C0 differs from Cint on all128 halfroots. For either quarter, U5 residue3 plus eigenvalue-1 of g_alpha² exp(-2pi i alpha Qsource/4) selects exactly creation30. Omitting charge factor leaves raw Ward-phase spaces of1 or11 directions, each with only one creation root.
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
- SOURCE-CHARGE-GLUE-QUARTER-IDENTITY.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/original/SOURCE-CHARGE-GLUE-QUARTER-IDENTITY.txt
adbf414bf1105de1087740b3bd1707e9f0dcfe7504eb0da4467a0e01a2289b9c
- SOURCE-CHARGE-GLUE-QUARTER-IDENTITY.txt lines 201–214
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/original/SOURCE-CHARGE-GLUE-QUARTER-IDENTITY.txt
adbf414bf1105de1087740b3bd1707e9f0dcfe7504eb0da4467a0e01a2289b9c
- check_source_charge_glue_quarter.py lines 1–94
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/check_source_charge_glue_quarter.py
4bd24bb6514cf8ab9d4b65140ad07b78b3eb7709fe461d671bd8421f39b4af85
- source-charge-glue-quarter-results.json lines 1–90
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/bracket_process_origin_20261028/source-charge-glue-quarter-results.json
19c5761a525a5b3be0265acc8f33598a106a9fe3aca73974fba7ccd0519fede6
- fold-results.json lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/v16-operator-pullback-20261014/fold-results.json
253f370a9c84b70c28169ed0aad83d1866245804227e44aa0189e823382f5639
- fold-results.json lines 201–286
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/v16-operator-pullback-20261014/fold-results.json
253f370a9c84b70c28169ed0aad83d1866245804227e44aa0189e823382f5639
finding:charged-source-quarter-recovers-inverse-internal-glue