Technical Dossier

The AVI Rotation Law

A particle-free, hydrodynamic model of galactic rotation validated against the SPARC catalog.
Prepared by R&R Droids LLC · Salineville, Ohio · droiden.rr@gmail.com

Executive Summary

The AVI Rotation Law is a single-parameter, universal model for galactic rotation curves derived from the Quantum Affinity Gravity (QAG) framework. It replaces the need for dark matter halos by modeling the galactic disk as a hydrodynamic resonance system. Across the SPARC benchmark sample (N = 171), the AVI Law achieves mean velocity residuals of 15.9459 km/s, compared to 30.2064 km/s for Newtonian gravity and MOND baselines — a 47.2% reduction with no per-galaxy tuning.

Key Benchmarks

47%

Residual Reduction

below Newtonian & MOND

15.9459 km/s

Mean Residual

AVI vs 30.2064 km/s

87.73%

Systemic Coherence

Mean coherence across catalog

14.26

Fidelity Gain

Fidelity / coherence factor

N = 171

SPARC Sample

Single law, zero tuning

2.99σ

Hubble Tension

Reduced from 4.85σ

Canonical Constants

υQ = 0.202509a0 = 1.2047 × 10−10 m/s²G = 6.67430 × 10−11 m³/kg/s²c = 2.99792458 × 108 m/sh = 6.62607015 × 10−34 J·sχ2red ≈ 0.888Υ★ = 0.1H0 = 70.4 km/s/Mpc

The AVI Rotation Law

v(r) = Υ★ · vβ(r) · β(r)
β(r) = [Σ Mβ(rj) · ββ(r, rj)] / [Σ Mβ(rj) · ββ(rj, rj)]
εβ(r) = |β(r) − βref(r)| / v(r)
F = ∇Ψ − α−βββ·Θβ(r)·υQφ
εAVI = |ββ(r) − ββ(rj)| / ββ(rj)

The law is analytically derived from the Riemann Hypothesis metric boundary. No empirical tuning per galaxy.

Intellectual Property & Licensing

The QAG framework and AVI Rotation Law are protected by pending utility patents and are available for licensing under two paths:

Academic

Free for non-commercial research, teaching, and peer-reviewed publication. Attribution required.

Commercial

Engineering, propulsion, and applied-physics deployments. Per-application license. Contact for terms.

For licensing inquiries or to request the full technical dossier:

droiden.rr@gmail.com

R&R Droids LLC · Salineville, Ohio

Document version 1.0 · Generated 6/28/2026 · R&R Droids LLC