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SC-17 (Explainer): Bell at Main §3.3's scope, the dynamics' form fixed up to one coefficient, chirality without the memory claim - #963

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This is the Explainer part of source-correction unit SC-17 in the #942 audit (gate #946). By owner decision, these sites are corrected now rather than left for the Explainer's retirement. Base: main 0d917665. Head: 81654257.

Review history:

Commit Content Review
2619c94b First draft ACCEPT WITH CHANGES (R1, R2; O1–O6)
81654257 Applies R1, R2 and O1–O5; O6 recorded as follow-ups Confirmation: ACCEPT

Sites

Site Was Now
Explainer :709; ch03 :186 and FULL Entanglement as "correlations written into the hidden sector during preparation and not yet read back" Under determinism and a ±1 outcome in every run, a completion that keeps ontic parameter independence and measurement independence obeys |S_CHSH| ≤ 2. A completion reproducing quantum Bell correlations therefore gives up at least one of the two. The framework gives up ontic parameter independence. Whether the SM/GR substratum supplies that dependence through preparation-indexed adjacency, while preserving operational no-signaling and its continuum-curvature limit, is the open hypothesis H-Bell [Main §3.3]
Explainer :767, :769, :771, :818, :820, :974 "The dynamics is unique"; center independence "necessary for emergent QM … information-screening"; linearity selected by speed, P-indivisibility and Unruh The form x_i(t+1) = α Σ_{j∼i} x_j(t) − x_i(t−1) is fixed up to one coefficient. Nearest-neighbour range is an assumption. Center independence carries neither the memory nor the P-indivisibility, and its descent is open. Linearity rests on the amplitude-scale-gauge lemma. α = 1/d is the largest stable value, where the lift's leading symbol is isotropic. Lorentz and Unruh are tests, not selectors [SM §4.1]. "Information-screening" appears nowhere in the corpus
Explainer :826; ch05 :95 and FULL "The Higgs mechanism from one condition": one condition gives memory, chirality and the Higgs On the staggered branch, center independence gives exact chiral symmetry [SM §4.3, Thm 3]. Explicit masses are forbidden, so the Higgs is the unique renormalizable mechanism [SM §4.11]. The doublet is phenomenological input, accommodated under H-spin′ [SM §4.7, Thm 11]. The claim that center independence alone forces both memory and chirality is not available [SM §4.3]. ch05 also no longer calls every center coupling a mass term
Explainer :58, :300, :338, :563, :665, :1017 Compressed Bell ceilings missing hypotheses, or (:1017) missing the either/or The missing hypotheses are added (±1 in every run, own-wing interventions, "ontic"). :1017 restores the either/or

Introduction dependency: none. #918's Bell section states every hypothesis, the either/or and H-Bell.

Recorded on #946 as follow-ups, not in this PR:

  • Main :700 places Bell on the wrong branch.
  • Main :766 and :558.
  • SM Theorem 3 is displayed as an equivalence, but only one direction is proved.
  • Explainer :771 says "nothing to tune" although σ is undetermined.
  • The Explainer's section labels.
  • The compressed Bell ceilings in the book and Main.
  • Selector residuals at Substratum :48, :159, :323, SM :110, :296 and Complexity :27.

Checks (local, at 81654257):

  • Release gate: every step passes except lean-axioms, which runs in CI.
  • edge_rigidity_probe: all pass.
  • Mirror and stamps match. Explainer: 70 → 71 pages. Book: 558 pages.
  • Added-lines and secrets scans: 0 hits.

Merge: in dependency order after #918, and only at an exact SHA the owner approves.

Links: #942, #946.


Generated by Claude Code

…anchors (#946)

Explainer :709 (and book ch03 :186 + FULL): entanglement is no longer
described as a preparation record written into the hidden sector. Bell-
violating correlations are not a locally read preparation record: given
determinism and a ±1 outcome in every run, ontic parameter independence
plus measurement independence gives |S_CHSH| <= 2, so at least one goes;
the framework gives up the first, and its SM/GR realization is the open
hypothesis H-Bell (Main §3.3).

Explainer :767 (selectors), with :769, :771, :820 and :974: the form
lemma fixes the wave equation up to one coefficient at nearest-neighbor
range; CI does not carry the reduced memory or P-indivisibility; the
speed and P-indivisibility arguments are not selectors and Lorentz/Unruh
are tests of the observer-level operator (SM §4.1). The nonexistent
information-screening result is dropped.

Explainer :826 and book ch05 :95 (+FULL) contradicted SM §4.3's revised
chain; SM's body is right. CI gives staggered chiral symmetry; it does
not produce the memory structure; not every center coupling is a mass
term; the Higgs doublet is input (SM §4.7, §4.11).

Explainer :58, :300, :338, :563, :665, :1017: compressed Bell ceilings
gain the ±1-every-run and own-wing hypotheses of Main §3.3, and :1017
restores the either/or.

Record: verification/audits/manuscript/intro-corpus-audit-20261026/
tracks/SC17-explainer-bell/README.md. Regenerated Explainer and the
book. Release gate: every step passes except lean-axioms (no lake
locally); edge_rigidity_probe passes; added-lines and secrets scans
clean.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Y87wExth9RoUb3dtbumhTb
…bility

R1. Explainer :818: "the specific lattice dynamics selected by the QM and
GR requirements" becomes "the specific lattice dynamics of the
center-free branch" (SM §4.1). Re-grep of "selected by the QM", "selected
by QM", "QM and GR requirements" and "QM requirement" finds none left;
the "selected by the" hits concern other selections.

R2. ch05 :95 (+FULL :1424): the no-go "no single condition forces both
memory and chirality" becomes SM §4.3's evidential scope: "the claim that
center independence alone forces both memory and chirality is not
available".

O1. ch03 :186 (+FULL :1062): ontic parameter dependence follows "since it
retains measurement independence". O2. Explainer :709: "a completion
reproducing quantum Bell correlations". O3. Explainer :58, :709, :1017
and ch03 (+FULL): H-Bell is stated as the compatibility condition, i.e.
whether the SM/GR substratum supplies the dependence through
preparation-indexed adjacency while preserving operational no-signaling
and its continuum-curvature limit (Main :22, §3.3). O4. Explainer :826:
"on the staggered branch"; the singlet taste accommodates the doublet
under H-spin' (SM §4.7, Theorem 11). O5. Explainer :767 and :771: the
lift is stable exactly for α ≤ 1/d, and α = 1/d is the largest stable
value, where the leading symbol is isotropic (SM §4.1).

O6. The README lists Substratum :48, :159, :323, SM :110, :291 (review
numbering) and Complexity :27 as selector-class follow-ups.

Regenerated Explainer and the book. Release gate: every step passes
except lean-axioms (no lake locally); edge_rigidity_probe passes;
added-lines and secrets scans clean.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Y87wExth9RoUb3dtbumhTb
"No free parameters ... There is nothing to tune" contradicted :477,
:769 and :1043. The corpus is consistent on the count: one free
geometric parameter (ε); σ, the entropy per boundary mode, undetermined;
the gap equation, conditional on H-slope, fixes only ε/√σ = 2 l_p
(GR §4); the Bekenstein-Hawking 1/4 is fixed by thermal matching
whatever σ (GR §5); the alphabet-size hypothesis does not fix σ
(SM §2.7). :771 becomes "Few free parameters": form fixed up to α,
α = 1/d the largest stable value of the lift; ε free and σ undetermined;
dispersion an identity of the observer-level operator with its 4σ/45
amplitude carrying σ. No QM/GR selection of the dynamics is implied.
:773's "with no free parameters" becomes "with one free geometric
parameter (ε) and σ undetermined".

Regenerated Explainer. Release gate: every step passes except
lean-axioms (no lake locally); edge_rigidity_probe passes; added-lines
and secrets scans clean.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Y87wExth9RoUb3dtbumhTb
…ot selected by GR; :773 restated as consistency checks (#946)

Explainer :771 carries H-slope with the horizon and frame conditions on the
gap equation and the same conditions on the 1/4 (GR §4, §5). :974 states the
form lemma's inputs as assumptions, not consequences of observed QM or GR
(SM §4.1). :773 drops the favourable self-assessment (§A.23, §A.32).
Explainer .tex/.pdf regenerated (71 pages).

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Y87wExth9RoUb3dtbumhTb
…ndition on check (3) (#946)

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Y87wExth9RoUb3dtbumhTb
…tion alpha = 1/d (ch05 :95, FULL, Explainer :826) (#946)

At alpha = 1/d a staggered mass term squares to a center coupling; at alpha = 1
the self-term C = 2(1-d) is massless and chiral. Without the normalization the two
sentences contradict each other (independent SC-32 review of SM Section 4.3).
Explainer and book regenerated (71 and 558 pages).

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Y87wExth9RoUb3dtbumhTb
amaybaum pushed a commit that referenced this pull request Oct 31, 2026
…their SM/GR scope

#963's non-Bell clauses (SC-17), adapted to main; alpha=1/d reason is the
gapless normalisation (SM 4.1 Remark), not #963's "leading symbol isotropic".
- Explainer.md:767 "The dynamics is unique ... select exactly one ... proven
  analytically" -> form fixed up to one coefficient alpha (SM 4.1 form
  lemma); nearest-neighbor range assumed; CI does not carry memory /
  P-indivisibility (readback lemma, finite recurrence); linearity from the
  amplitude-scale-gauge lemma; alpha=1/d the largest stable, gapless value;
  Lorentz/Unruh are tests, not selectors.
- :769 "selected solely by the QM requirement" -> form fixed by CI, isotropy,
  linearity at nearest-neighbor range; gap equation conditional on H-slope.
- :771 "No free parameters ... nothing to tune" -> "Few free parameters":
  alpha, epsilon free, sigma undetermined (GR 4, GR 5; agrees with GR:310).
- :773 "Seven passed checks with no free parameters" / rigidity
  self-assessment -> consistency checks, epsilon free, sigma undetermined.
- :779 (propagation of :773) "proves ... produces both QM and GR" -> checks
  the wave equation against the quantum description and the GR inputs.
- :818, :820 "selected by the QM (and GR) requirement(s)" -> "of the
  center-free branch".
- :974 "dynamics selection theorem pins the wave equation" -> form lemma up
  to one coefficient, conditions are inputs [SM 4.1]; main's d=3 sentence kept.
- :826 already corrected in D-3; unchanged.
- ch05:95 / FULL:1422 (mirror): last two sentences -> memory from Main's
  readback lemma, P-indivisibility from its recurrence-cycle theorem,
  independently of CI (SM 4.3); Higgs acts on the chiral fermions of the
  center-free branch. First two sentences kept; no alpha=1/d text imported.
- Substratum.md:373 and :48 (same claim): "uniquely selected" / "the unique
  ... dynamics" -> up to the coefficient alpha.
- SM.md:110 "dynamics selection theorem" -> "form lemma of 4.1".
- Complexity.md:27 "dynamics selected by" -> "dynamics whose form ... fix up
  to one coefficient".
- intro-corpus-audit-20261026/tracks/SC17-explainer-bell/README.md:15, :17
  (not frozen: no receipt, not in legacy-records): isotropic -> gapless.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_013T6pfKuv5mi3MXtKjH2tZb

amaybaum commented Nov 2, 2026

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Owner H2 compatibility note — do not revive obsolete linearity inference

H2's independently accepted correction will remove the unsupported centre-free affine branch ⇒ homogeneous linear inference in papers/Explainer.md:767 and papers/SM.md:240, while preserving the genuine affine result and A5 as an explicit selected-model posit. Any future revival or rebase of this draft must absorb the H2 corrected Explainer:767 wording and inspect the SC17 verification audit README:15 quote of the old claim. This note does not authorize modifications, reopening scientific execution or merging this draft.

At the 2026-11-02 checkpoint, this PR already reports mergeable=false against current main; those pre-existing conflicts do not arise from H2 and are not resolved by H2's independent review. H2 has draft-PR implementation authorization on #1029. H2 is separate from #963; the five holds, #1036 and #1037 stay unchanged.

amaybaum commented Nov 3, 2026

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Closed unmerged. The corrections are on main:

Three of this PR's texts conflict with main and are not adopted:

  • the :767 linear clause (the inference H2 refuted);
  • the "isotropic" reason for α = 1/d (the leading symbol is isotropic for every α; α = 1/d is the gapless value);
  • the Option-B reading of Theorem 3.

The optional Explainer:826 Higgs-doublet sentence was declined (the Explainer is a superseded historical exposition). The underlying derived-versus-input contradiction in the maintained book is routed to #1058. The stale sm-source-reconciliation README:9 is #1029 orphan 32.

Branch corpus/sc17-explainer-bell (head e316cf92) is kept.


Generated by Claude Code

@amaybaum amaybaum closed this Nov 3, 2026
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