IndisputableMonolith.Astrophysics.GalacticRotationCurveFromRS
This module defines structures for deriving galactic rotation curves from Recognition Science, using the RS time quantum as base unit. Astrophysicists studying flat curves in galaxies would cite the rotation regime classification and transition radius results. The module consists of sequenced definitions for regimes, radii, and a top-level certification object.
claimThe module introduces rotation regime classification by radius, transition radius $r_t$ with ratio and positivity properties, and the certificate asserting RS-derived galactic rotation curves in native units with time quantum $τ_0$.
background
Recognition Science models galactic dynamics on the phi-ladder and J-cost functional equation, with constants fixed in RS-native units where the time quantum $τ_0 = 1$ tick. The module imports this base from Constants and layers astrophysical objects on top, defining radius-dependent regimes that transition at self-similar points fixed by the forcing chain. Sibling declarations cover regime counting, transition radius ratio, positivity, and the overarching GalacticRotationCert.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the astrophysical layer that applies the foundational forcing chain (T0-T8) and Recognition Composition Law to galactic scales. It feeds parent results on mass formulas and the eight-tick octave by providing the rotation curve certificate used in downstream D=3 spatial applications.
scope and limits
- Does not compute numerical velocity profiles from observations.
- Does not incorporate dark matter or modified Newtonian dynamics.
- Does not derive the transition radius from first principles beyond the imported constants.
- Does not address multi-galaxy interactions or cosmological evolution.