Established in scope
Original eight-clock marks A7 and neutral E7 zero-root mode
In the question: Common clock sectors, quartic geometry and operational reconstruction
New joint interpretation of existing clock shift and already known charge census. No rediscovery of old ground doublet or D8/E8 Coxeter grading claim. Q is source U1,not automatically electromagnetic charge. p* is an E7 root,not E7 singlet. No time generator changed.
Read the exact result, assumptions and evidence
Result
With rho_A7=(7,5,3,1,-1,-3,-5,-7)/2 and q=(1,...,1),exactly delta=-rho_A7/8+(2a-1)q/16 and H8=8L0-rho_A7.a0+(2a-1)Q/2. p*=(++++----)/2=omega4(A7) has norm²2,Q0,rho.p*=8 and is unique neutral E8 root of H8 grade0. The126 neutral roots form E7(q/2),exactly56 A7 roots plus70 Lambda^4C8 weights. All240 roots and reflection closure checked exactly.
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
- A7-E7-CLOCK-DECOMPOSITION.txt lines 1–175
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/dynamic_reconstruction_20261027/A7-E7-CLOCK-DECOMPOSITION.txt
62c251a47e1b0b67f034027fec66a5d0ffaab35abf61dcb2e709395c3bc82581
- check_a7_e7_clock.py lines 1–150
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/dynamic_reconstruction_20261027/check_a7_e7_clock.py
08cdb278a583fec135d3596b16c1dabc4152d0032219a40519a025516fe77d5d
- a7-e7-clock-results.json lines 1–112
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/dynamic_reconstruction_20261027/a7-e7-clock-results.json
5d6af55d15802efa55b88c966d0fade54dfa96440cd4ce9b078f49dc2c882220
finding:a7-clock-direction-identifies-neutral-e7-zero-root