IndisputableMonolith.Astrophysics.StellarEvolutionPhasesFromConfigDim
Defines the discrete stellar-evolution phases used in Recognition Science astrophysics and packages a certificate that their count is fixed by configuration dimension. RS model-builders cite the phase type and the certificate when wiring stellar tracks to the phi-ladder and eight-tick structure. The module is definitional: an inductive phase type, a count lemma, and a cert record.
claimThe module introduces a finite type of stellar evolution phases whose cardinality is determined by the RS configuration dimension, together with a certificate asserting that the phase count equals the value forced by that dimension.
background
Recognition Science ties macroscopic structure to the forcing chain: configuration dimension $D=3$ (T8) and the eight-tick octave (T7) constrain how many distinct evolutionary regimes a self-gravitating, recognition-cost-minimizing star can occupy. Constants supplies the RS time quantum $\tau_0=1$ tick, the native clock against which phase lifetimes are later measured.
This module sits in the astrophysics layer. It does not derive masses or luminosities; it only names the phase set and records that its size is not free but fixed by the same dimensional data that forces $D=3$. Downstream mass and track constructions are expected to index on this phase type.
proof idea
Definition module, no deep proofs. It declares an inductive (or enumerated) stellar-phase type, a count identity equating the number of constructors to the configuration-dimension-derived integer, and a small certificate record bundling that equality for use by later cert-style theorems. Any proof obligations are reflexivity or rfl on the count.
why it matters in Recognition Science
Gives the astrophysics stack a single, dimension-forced vocabulary for stellar phases so that later ladder and cost arguments do not smuggle in an arbitrary phase list. No downstream consumers are wired yet in the graph; the module is infrastructure for stellar-track and lifetime certificates that will index on the phase type and cite the count certificate. It aligns the stellar story with T7/T8 (eight-tick octave and $D=3$) without yet touching the mass formula or $\alpha$ band.
scope and limits
- Does not derive stellar masses, luminosities, or lifetimes.
- Does not prove dynamical stability of any phase.
- Does not connect phases to the phi-ladder mass formula.
- Does not assert observational completeness of the phase list.
- Does not depend on J-cost or RCL identities beyond imported constants.