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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.

Established in scope

Scalar Z4 menu: only half twist D8-local; spinor chiralities separated

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

Only four uniform scalar twist classes in GIVEN D8 target with fixed time/charge dictionary. Integer periodicity/W4 distinction reuse original findings. Monodromy establishes neither new local fields,chirality/gauging selection nor exclusion of all P1 defects. New sector representation with shifted target Cartan spectrum leaves unchanged-carrier premise; its origin remains open.

Read the exact result, assumptions and evidence

Result

q=(r/4)^8+m gives q.(e1+e2)=r/2+integer: only r0,2 relatively local to ALL original D8 currents. The64 weight1 quarter dressings are relatively odd but fail stronger full monodromy-1; parity projection/cocycle signs alone cannot repair this. Half twist has two128 chiralities. At unchanged delta full half-integral cosets have unique minima K0 even andK1/32 odd in BOTH quarters; leaving the +/-1/2 cube costs>=17/32. Prior extra-zero-state objection applies only to even extension. Unchanged integer Cartan generators still exclude every nonzero half-charged operator satisfying actual integrated covariance. Original W4 contains permutation and integer carry,not pure spinor translation.

Required assumptions

  • Given D8 target with uniform Z4 twists and fixed fold-time law

    Only in the conditional eight-channel target test,D8 currents with roots +/-e_i+/-e_j,twist charges q=(r/4)^8+m,m in Z8,r0..3,h=q²/2+N and existing fold time K=q²/2+delta.q+N,delta_k=(k+alpha)/8-1/2 are given. Keep all D8 currents and Cartan charges fixed,chiralities distinct. This creates neither eight physical source copies nor local defect endpoints from P1.

  • 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

  • FULL-FINITE-ENERGY-AND-SECTOR-MENU.txt lines 124–230

    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_full_energy_sectors.py lines 1–170

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/mixed-current-origin-20261014/check_full_energy_sectors.py

    6c723ad3bb36cf50f81e22188d451c5206be8546cdf76e9528739b22e78b3c0a

  • full_energy_sector_results.json lines 1–172

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/mixed-current-origin-20261014/full_energy_sector_results.json

    7ed4550b5b8d54c46810a409fdcd9622d5e78408d31e96db6cbc3bb1479cdbce

  • FULL-ENERGY-REVIEW.txt lines 1–36

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/mixed-current-origin-20261014/FULL-ENERGY-REVIEW.txt

    9f56da62f659b3d9479b15c15e570e2f6fae944804b8244008c867b00cf79d4e

finding:uniform-z4-d8-locality-and-both-spinor-chirality-time-census