Shunyaya Symbolic Mathematical Chemistry — Sanity summary (signs only) (6.10)

Why this page. A quick, sign-only recap of all Section 6 worked examples. Direction is the invariant: sign(e) = sign(RSI). All formulas are bounded and observation-only.


Sign checks (copy-ready)

H2 + O2 -> H2O                  : e > 0 -> RSI > 0 (favored)
N2 + 3 H2 -> 2 NH3              : e > 0 -> RSI > 0 (favored)
C + O2 -> CO2                   : e > 0 -> RSI > 0 (strongly favored)
2 CO + O2 -> 2 CO2              : e > 0 -> RSI > 0 (strongly favored)
N2 + O2 -> 2 NO                 : e < 0 -> RSI < 0 (disfavored; edge-lift can explain observation)
CH3COOH + C2H5OH -> ester + H2O : e < 0 -> RSI < 0 (disfavored, data-light lens)
C2H4 + H2 -> C2H6               : e > 0 -> RSI > 0 (favored)

Invariants (all examples)

  • Boundedness: |a| < 1 (with clamps), |RSI| < 1.
  • Collapse-safe: phi(m,a) = m (stoichiometry preserved under collapse).
  • Table-free direction: sign(e) = sign(RSI) from E_formed > E_broken (or equivalent lens).
  • Gate preserves sign: RSI_env = g_t * RSI, 0 <= g_t <= 1sign unchanged; magnitude modulated.

Neutral-band reminder (optional policy)
If |e| < e_neutral or |RSI| < r_neutral, label the case Neutral (no direction claim) and rely on the 3-Test (Appendix C) to resolve.


Navigation
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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.