Established in scope
Uniform common register reference and local mixed-grade reduction
In the question: Historical: common source, state and event selection
Retained localZ,full joint words and actual mass1width8Bloch matrix. Register-neutrality alone identifies no spinor; totalgrade and halfCartans distinct. New Gauss rule with globalWilsonZ changes premise and remains underived. AllN bound analytic,not extrapolated from finite energy/cusp controls; Ramond zero-mode mixture not replaced by Wick.
Read the exact result, assumptions and evidence
Result
Remote locality to original evenZ gives exact||(Z-i^r)v_N||²=sum_q|i^(r+q)-i^r|²||v_qN||²,allnonzero-grade weights>=2; arbitrary register-changing vacuum components vanish in norm. Actual Bloch ground functione=-Tr|h|/2 has only cusp-|p| at0 and e'' of finite total variationV. Fourier bound|e_m|<=V/(2pi m²) and exact sampling give allN/all4flux |N(E0_alpha-E0_beta)/(2pi)|<=V/6. With ONE initial vacuum reference H_full>=-V/6,so off-grade components also vanish in full fixed-time kernel. No independently chosen flux energies.
Required assumptions
- Retained local register with one common original vacuum reference
Original v1033 Z4 register Z remains even local and remote from the proposed localized bosonic field. Initial sea has definite quarter r1or3. Full joint words retain norm of remote commutator[Z,T_N]Omega_N,required to vanish. Register Hamiltonian stays block diagonal in Z with ONE common initial-vacuum subtraction,no independently chosen sector energies. Keep actual mass1width8 Bloch matrix with both edges and all massive modes. No new Gauss support rule.
- Unchanged full quarter-QWZ excitation source
Current v1033 QWZ cylinder at mass1,width8,ONE complex CAR copy,alpha1/4 or3/4,full negative sea and H_N=N/(2pi)[dGamma(h_N)-Tr(P_Nh_N)]. Retain both edges,massive modes,charge sectors and physical energy/vacuum reference; compare actual low eigenmodes. No P1/P2 selection of this realization,changed stress or executed quotient.
- 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
- CONTINUOUS-TIME-NONUNITARY-SECTOR-TEST.txt lines 152–196
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/mixed-current-origin-20261014/CONTINUOUS-TIME-NONUNITARY-SECTOR-TEST.txt
eb31933e4bbf3c1da2b02661381ddf128d37a1d7ebc507bb66982c2c78944897
- FULL-FINITE-ENERGY-AND-SECTOR-MENU.txt lines 1–117
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/mixed-current-origin-20261014/FULL-FINITE-ENERGY-AND-SECTOR-MENU.txt
331ad3b50a90ccd3e9ab16905e44b0a2ee04e84c92459739d0ac22f337d602b9
- check_continuous_time_sector_test.py lines 44–125
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/mixed-current-origin-20261014/check_continuous_time_sector_test.py
bfab38f6ed057f368a28a037c068b26cfde3aadc856583ee79363de7f2244679
- continuous-time-sector-results.json lines 1–195
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/mixed-current-origin-20261014/continuous-time-sector-results.json
e35bc998a8358287f4478572274e383bdb83ba7055851500da23d1007f62b65a
- CLAUDE-CONTINUOUS-TIME-REVIEW.txt lines 1–65
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/mixed-current-origin-20261014/CLAUDE-CONTINUOUS-TIME-REVIEW.txt
c71d922c5013260e141919cecc617532e3578475cc859e78ba2c81f654a8bfc2
finding:common-register-vacuum-reference-uniform-and-local-grade-reduction