Shunyaya Symbolic Mathematical Chemistry — Audit & Safety Notes; Summary; Decision Matrix (5.9, 5.10)

Why this page. Establish clear audit practices, safety guardrails, and a publication-ready decision matrix for interpreting RSI_env = g_t * RSI. All math is plain ASCII and observation-only.

5.9 Audit & safety notes

  • Log internals with outcomes. Always record {Z_t, A_t, Delta_t, Q_t, g_t} alongside observed outcomes; this explains why a non-ground product appeared (edge-lift) without inventing kinetics.
  • Do not override safety. g_t is a visibility gate, not a hazard model.
  • For publication. Include a g_t timeline for each worked example with condition toggles marked (e.g., "stir on/off", "light on/off", "feed step").
  • Observation-only posture. No rates/hazards are inferred or deployed from g_t; it only scales preference visibility.
  • Determinism & provenance. Fix the lane canon and parameters for a study; publish the full recipe and do not change it mid-run.

Minimal log schema (copy-ready, ASCII)
(one row per tick or event)

timestamp, reaction_id, branch_id, outcome_flag,   # outcome_flag in {observed, not_observed}
Z_t, A_t, Delta_t, Q_prev, Q_t, g_t,               # gate internals
lens, Unit, c, gamma,                              # study-level contrast/scale
priors_applied,                                    # list or "-"
notes                                              # free text (e.g., "light on", "stir 600 rpm")

Recommended logging practice (ASCII)

log_row(t):
  return {
    "timestamp": t,
    "reaction_id": R_id,
    "branch_id": B_id,
    "outcome_flag": outcome(),        # observed | not_observed
    "Z_t": Z_t, "A_t": A_t, "Delta_t": abs(Z_t - A_t),
    "Q_prev": Q_prev, "Q_t": Q_t, "g_t": g_t,
    "lens": lens_name, "Unit": Unit, "c": c, "gamma": gamma,
    "priors_applied": priors_list,    # e.g., ["LPI:0.4@alpha=0.25"] or "-"
    "notes": note_string
  }

Safety guardrails (ASCII)

  • Treat g_t and all lanes as diagnostic; never use them to justify operating near hazard limits.
  • If any lane proxy suggests unsafe variability (e.g., runaway heat), stop the experiment; logging continues, but no gate-driven action is taken.
  • Keep a manual override path: the gate has no authority over equipment; it only annotates results.

Publication checklist (copy-ready, ASCII)

  • Include a time plot of g_t with condition toggles marked.
  • Provide CSV/JSON of the log schema above for each worked example.
  • State explicitly: "Gate is observation-only; no rates or hazards are inferred."
  • Disclose the lane canon, normalization, weights, window L, extractor, compressor, and parameters.
  • Note any priors applied (names, alphas, indices in [0,1]) and which terms received them.

Shunyaya Symbolic Mathematical Chemistry — Summary; Decision rules (5.10)

RSI_env = g_t * RSI
  • g_t translates time-varying conditions into a single, bounded dial in [0,1] that multiplies symbolic preference.
  • High calm (g_t -> 1) expresses ground preferences; low calm (g_t -> 0) exposes edge-lifted outcomes while preserving the sign of RSI.
  • The construction is portable and reproducible: a deterministic map from bounded signals (Z_t, A_t, Q_t) to g_t, with fixed recipes declared once per study.
  • It is observation-only (no rates/hazards), bounded, and collapse-safe, completing the bridge from symbolic algebra to observed chemistry.

Publication reminder (manifest, ASCII)

  • Publish the lane canon and normalization, weights and window, drift extractor and compressor, kappa, mu, rho, initial Q_prev, and any clamps.

Decision rules (bullet form; copy-ready)

  • If RSI_sign < 0 and g_t in [0, theta]: Region = Disfavored basin; any observation = edge-only. Action: Do not pursue as spontaneous; reframe with energy/prior.
  • If RSI_sign < 0 and g_t in (theta, 1]: Region = Disfavored (ground = reactants); no spontaneous flip. Action: Same as above (specify energy/prior or stop).
  • If RSI_sign > 0 and g_t in [0, theta]: Region = Edge-lift corridor; observable but slow/patchy. Action: Label as edge; improve calm (raise g_t) or adjust operations.
  • If RSI_sign > 0 and g_t in (theta, 1]: Region = Ground region; confident products, fast/clean. Action: Proceed; you may skip Edge run if RSI_env >= theta.

Notes (ASCII)

  • RSI_sign: sign of the symbolic preference; computed from the symmetric contrast→alignment map and pooled rapidities.
  • g_t_level: program bucket for the calm gate; treat ranges as [0, theta] for “low” and (theta, 1] for “high”.
  • theta (default program threshold) = 0.4 unless you publish a different value per domain.
  • RSI_env: condition-aware preference; RSI_env = g_t * RSI (bounded; sign preserved).
  • “Edge-only” = observation under low calm where non-ground branches persist; not a ground flip.
  • “Reframe with energy/prior” = either improve contrast (e.g., different conditions/material choices) or declare bounded priors in rapidity (transparent, published).
  • Publication: include a short paragraph stating these rules are diagnostic (observation-only) and do not model rates or hazards.

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Disclaimer (observation-only). All formulas and results are observation-only—not predictive or operational—and require peer validation and governance before any deployment.