Skip to main content

Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Scoped exclusion

Nonunitary limits with continuous original time stay in old source folium

In the question: Historical: common source, state and event selection

Only unchanged full compact source/sea/time/observable comparison and full norm/time kernels. B is an operator property independent of v_N: disjoint-state limits do not automatically violate B; with fixedA,B,C they must failD. Divergent mean alone is not escape. No classification of all local scaling nets/P1 realizations or derivation of8copies. Originally derived changed net/Gauss/operator/time comparison outside scope; elementary spectral compactness,not a claimed new abstract theorem.

Read the exact result, assumptions and evidence

Result

Arbitrary v_N=T_N Omega_N in fixed full strip obey tail_E<=[||v_N||²-<v_N,e^(-tH_N)v_N>]/[1-e^(-tE)]. Finite nonzero norm and limiting-kernel continuity at0 imply energy tightness. Entire finite spectral windows yield norm-subsequence compactness; fixed low-window operator matrix elements transfer all retained bounded-observable states into old global folium. Real original time also suffices: tail_E<=2[n_N-a^-1 int_0^a ReG_N(t)dt] forE>=2/a. No bounded mean energy,||T_N|| or word degree needed. Under fixed D8/even-CAR dictionary no additional s/c spinors; right edge only adds multiplicity.

Required assumptions

  • Full old observable map and continuous original time for nonunitary insertions

    Fixed full quarter-QWZ carrier has compatible entire finite-dimensional low spectral windows. Every retained bounded A_N is uniformly bounded and converges on them to the original operator action,including odd intermediate states. This is an operator premise independent of prepared v_N=T_N Omega_N. Arbitrary T_N,including divergent renormalization,nonunitarity and growing word degree,are required to have finite nonzero norm and a limiting ACTUAL original positive-time or real unitary-time kernel continuous at0 with that norm. No bounded first energy moment,different charged Hamiltonian or new P1 realization assumed. Spinor consequence additionally retains the given unchanged D8/even-CAR dictionary.

  • 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 1–150

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/mixed-current-origin-20261014/CONTINUOUS-TIME-NONUNITARY-SECTOR-TEST.txt

    eb31933e4bbf3c1da2b02661381ddf128d37a1d7ebc507bb66982c2c78944897

  • CONTINUOUS-TIME-NONUNITARY-SECTOR-TEST.txt lines 273–308

    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 1–97

    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:continuous-original-time-nonunitary-limits-stay-in-old-source-folium