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docs(brief): ADR-0241 P8 non-vacuous chiral spinor handoff for Gemini
2026-07-14 14:36:04 -07:00

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Brief: ADR-0241 Non-Vacuous Chiral Spinor Charge (P8)

For: Antigravity / Gemini design + TDD
Status: STOP POINT after P7 demotion
Branch: feat/adr-0241-0242-implementation (PR #37)

Takeoff

git fetch forgejo
git checkout feat/adr-0241-0242-implementation
git pull forgejo feat/adr-0241-0242-implementation

Read:

  1. AGENTS.md
  2. docs/adr/ADR-0241-...md (chiral charge row; #19 retirement)
  3. docs/research/third-door-blueprint-fidelity.md W4 / #19 section
  4. core/physics/wave_manifold.py — chiral_charge, left_spinor_step
  5. docs/briefs/P7_design_note.md (honesty doctrine — do not invent theater)

Problem

ADR claims non-vacuous \mathcal{Q}=\langle\psi I_5\widetilde{\psi}\rangle_0.
Today chiral_charge is honest structural ~0 on real Cl(4,1) (even product × central I_5 has no grade-0 for the #19 family). Tests lock conservation of ~0 and even-versor honesty.

P8 goal: either (A) a non-vacuous spinor path with informative conserved Q, without reviving vacuous #19 gate on even unit versors; or (B) permanent demotion of non-vacuous claim with ADR language + fidelity ⚪ RETIRED, if design proves impossible under real Cl(4,1) without complex/pair structure.

Hard constraints

  • Must not revive grade-5 gate on even unit versors (#19)
  • Even field-state path stays honest (~0 or N/A)
  • Spinor / odd-capable path: if non-vacuous, Q informative + conserved under left unitary R
  • Algebra-native; no hot-path unitize; off-serve
  • Prefer fail-closed / honest demotion over fake non-zero Q

Design options to evaluate (pick one with proof sketch)

  1. Pair-spinor / complex structure via central I_5 as algebraic i
  2. Even/odd split with grade-sensitive charge
  3. Two-component left ideals in Cl(4,1)
  4. Permanent demotion (document why real Cl(4,1) cannot host non-vacuous Q)

RED tests (if implementing non-vacuous)

test_chiral_charge_nonzero_on_designed_spinor_packet
test_chiral_charge_conserved_under_left_unitary_R
test_chiral_charge_still_honest_zero_on_even_unit_versor
test_goldtether_chiral_term_only_when_informative

If demoting: one behavioral pin that documents structural vacuity remains and ADR/fidelity language is honest.

Out of scope

P9 contemplation seam, Rust, serve wiring, re-opening retired multi-grade analytic polar (P7).

Success

Non-vacuous spinor Q or honest permanent demotion; W4 fidelity flipped under honest criterion; PR #37 updated on Forgejo.