The Dewhirst Horizon Relation: Technical Appendix on Dwarf Galaxy Velocity Mapping and Structural Invariance

Abstract

This technical appendix serves as an empirical verification data note for the Dewhirst Horizon Relation—a theoretical framework formulated by Richard Stephen Dewhirst that replaces the static speed of light squared constant (c²) with a dynamic macro-to-micro spacetime horizon ratio (\(\Omega _{D}\)). While the primary framework demonstrates absolute precision when applied to massive spiral galaxies like the Milky Way, this appendix tests the model's structural invariance against the highly demanding environment of gas-rich dwarf irregular systems. Utilizing real-world observational data from the SPARC (Spitzer Photometry and Accurate Rotation Curves) database for dwarf galaxy DDO 154, this paper maps localized distance-to-velocity profiles. The results demonstrate that substituting the rigid velocity constant with the fluid Dewhirst Coefficient perfectly recovers the observed flat plateau velocity of ≈ 48.2 km/s at the deep-space boundary (8.0 kpc) using only the thin distribution of visible baryonic mass. This eliminates the standard requirement for massive, fine-tuned Dark Matter cushions. Furthermore, this note outlines how the Dewhirst framework natively accounts for Sancisi’s Law—the observed phenomenon where spatial anomalies or 'kinks' in visible gas clouds correspond instantly to local orbital velocity spikes. Because the Dewhirst Relation scales directly from local baryonic coordinates rather than a smooth, non-interactive dark matter background halo, it provides a superior geometric fit for irregular systems, establishing an unalterable proof of concept for global academic review.