Established in scope
Affine source involution identifies complete H,Q spectra but not local fields
In the question: Common clock sectors, quartic geometry and operational reconstruction
Full mathematical charge/Fock space with fixed H; no local CAR/E8 dictionary,new P1 source or conformal modular character comparison. Old zero line is not claimed new. Selection of ground density remains distinct from simplicity of kerH.
Read the exact result, assumptions and evidence
Result
A=R4 and p*=(++++----)/2 give A delta=delta+p*,A p*=−p*,T(p)=Ap+p*,T²=1. T also permutes oscillator channels,preserves H,Q and exchanges0↔s,v↔c. For beta>0 exactly Z_s(beta,u)=exp(u.p*)Z_0(beta,Au),Z_c=exp(u.p*)Z_v(beta,Au). At u=lambda q,Z_s=Z_0,Z_c=Z_v,hence complete thermal H,Q equality of E8_c0+c and NS CAR0+v. Individual Cartan charges,L0 and field statistics are not preserved. Prior ground-doublet/Ward selection result is reused; second H-zero state has L0=1.
Required assumptions
- Four D8 source modules with fixed affine time
Mathematical parent of the four D8*/D8 modules 0,v,s,c with eight identical Heisenberg oscillators, source charge chart p and N≥0. H=8(N+|p|²/2+delta.p),delta_j=(j+a)/8−1/2,0<a<1,Q=sum p_j. Original quarter cases are a1/4,3/4. Conformal L0, individual Cartan charges and totalQ remain distinct. This mathematical completion does not assume a physical P1 realization of the Ramond space or a local field map.
- 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
- AFFINE-SPECTRAL-IDENTITY.txt lines 1–118
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_time_compatibility_20261027/AFFINE-SPECTRAL-IDENTITY.txt
ec2e34b6087acc07586ce27810bcdcd8068bf5e86acc440339da20fac0c264aa
- ALL-CHARGE-GROUND-AND-SOURCE-SELECTION.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_time_compatibility_20261027/ALL-CHARGE-GROUND-AND-SOURCE-SELECTION.txt
cb148bc84d1b1b92eaa44b4f7f5ddda7241698efc108c9bef2f81752c9a8ba60
- ALL-CHARGE-GROUND-AND-SOURCE-SELECTION.txt lines 201–306
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_time_compatibility_20261027/ALL-CHARGE-GROUND-AND-SOURCE-SELECTION.txt
cb148bc84d1b1b92eaa44b4f7f5ddda7241698efc108c9bef2f81752c9a8ba60
- LOCAL-TIME-AND-SPECTRAL-IDENTITY-INDEPENDENT-REVIEW.txt lines 1–98
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_time_compatibility_20261027/LOCAL-TIME-AND-SPECTRAL-IDENTITY-INDEPENDENT-REVIEW.txt
9943926c3d064e3fde38e23bbd3646a3b1402ce4111c6960cc837f90214620c5
- check_source_compatibility.py lines 1–67
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_time_compatibility_20261027/check_source_compatibility.py
9f120bbcd240969d9f908e5fe46edfde5255df5aa06d4a7e6c11ac2ab0468d02
- symbolic-checks.json lines 1–23
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_time_compatibility_20261027/symbolic-checks.json
51790eb8cdec840dd78066cd5895c3074e718a81ae26dcd092b24aadaa59ced4
- VERIFICATION.json lines 1–9
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_time_compatibility_20261027/VERIFICATION.json
d894f8c034019f684ac1ac4502899fc8250c45f4d2cf3803d02e20657621cdbf
- PROOF.txt lines 17–171
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-joint-ward-state-20261014/PROOF.txt
7c0cd92dfc5eca88260baae0af9edad66f958a27ce0d15d7965414b3971f8da0
finding:affine-source-involution-pairs-full-d8-sector-spectra