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IndisputableMonolith.Physics.SupernovaClassificationFromRS

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Module defining a Recognition-Science classification of supernovae: a finite type of SN classes, a count of those classes, and a certificate packing the classification against RS constants. Astrophysicists comparing RS predictions to SN catalogs would cite it. Structure is definitional (inductive type plus certificate), not a deep proof.

claimA finite set of supernova classes $\mathrm{SN\text{-}Type}$, a cardinality $\#(\mathrm{SN\text{-}Type})$, and a certificate $\mathrm{Cert}_{\mathrm{SN}}$ that records the classification relative to RS-native constants (including the time quantum $\tau_0 = 1$ tick).

background

Recognition Science fixes physics from a single cost functional and a forcing chain that yields $\varphi$, the eight-tick octave, and $D=3$. Constants are carried in RS-native units; the imported Constants module supplies the fundamental time quantum $\tau_0 = 1$ tick.

This physics module packages supernova taxonomy in that language. SupernovaType is the discrete class set (the usual observational bins, expressed as an RS-side type). supernovaType_count is its cardinality. SupernovaCert / supernovaCert form a lightweight certificate that the classification is stated against the RS constant table rather than ad hoc astrophysical parameters.

No dynamical explosion model is proved here; the module only fixes the classification interface used by later RS–observation bridges.

proof idea

Definition module, not a theorem chain. SupernovaType is introduced as a finite inductive (or enumerated) type; supernovaType_count is the corresponding cardinality lemma or definitional count. SupernovaCert is a structure or Prop-carrying record; supernovaCert is a concrete inhabitant tying the type list to imported RS constants. No multi-step tactic proofs are required beyond reflexivity or rfl-style cardinality checks.

why it matters in Recognition Science

Places supernova taxonomy on the same RS constant footing as other Physics modules (mass ladder, $\alpha$ band, eight-tick timing). Downstream observation or catalog-matching developments can cite SupernovaCert instead of re-encoding SN classes. With no used_by edges yet, the module is an interface stub for future RS astrophysics comparisons rather than a step inside T0–T8 forcing. It does not claim to derive explosion mechanisms from J-cost or RCL.

scope and limits

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (4)