IndisputableMonolith.Astrophysics.GalacticRotationCurveFromRS
This module assembles Recognition Science definitions for galactic rotation curves, including regime classification and transition radii, built directly on the imported time quantum. Astrophysicists seeking RS-native explanations for flat rotation curves cite these objects. The module consists of type definitions, auxiliary functions, and a top-level certificate with no internal proofs.
claimRotationRegime (enumeration of dynamical regimes), transitionRadius : \mathbb{R} \to \mathbb{R} (transition radius function), transitionRadius_ratio and transitionRadius_pos (ratio and positivity lemmas), GalacticRotationCert (certificate type), galacticRotationCert (instance).
background
The module sits in the astrophysics domain and imports only the RS time quantum \tau_0 = 1 tick from IndisputableMonolith.Constants. It introduces RotationRegime as the classification of galactic dynamics and transitionRadius as the radial location where the rotation law changes. These objects extend the phi-ladder and mass formula to galactic scales using the eight-tick octave structure.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the certification objects that feed parent results on RS-derived astrophysical phenomena. It fills the galactic-scale application of the forcing chain (T5 J-uniqueness through T8 D=3) and the mass formula yardstick * phi^(rung-8+gap(Z)).
scope and limits
- Does not compute numerical rotation velocities for named galaxies.
- Does not incorporate general-relativistic corrections.
- Does not address cluster-scale or cosmological applications.
- Does not derive the alpha band or G constant inside this file.