The Raimondi Micro-Scaling (RMS) Premise and the Lens of Time Theory: A Unified Density-Dependent Kinematic Framework from Quarks to Voids

The Raimondi Micro-Scaling (RMS) Premise proposes that gravity and cosmic acceleration are kinematic illusions arising from a universal, density-dependent outward micro-acceleration present in all matter: ¨r = α ρ^{k_eff(ρ)} with α ≈ 8.42 × 10^{-26} m s^{-2} (g cm^{-3})^{-1}. A simple logarithmic refinement k_eff(ρ) = 1 + β ln(ρ_ref / ρ) (β ≈ 0.007, ρ_ref = 2.7 g/cm³) produces a smooth transition across >45 orders of magnitude in density: k ≈ 0.8–0.9 at nuclear/subnuclear scales → kinematic confinement/stability k = 1.0 at terrestrial densities → apparent gravity + Lens of Time material evolution (pyramid gap closure, granite hardening) k ≈ 1.2–1.4 in galactic regimes → MOND-like dynamics k ≈ 1.5–1.6 in cosmic voids → accelerated expansion (no dark energy needed) Double integration yields the Lens of Time scale factor s(t) = 1 + (α ρ^{k_eff} / 2) t² / r_0, explaining why tiny accelerations manifest as macro effects only over deep time. This two-parameter framework unifies subatomic stability, terrestrial gravity, galactic rotation curves, and cosmic dynamics without spacetime curvature, dark matter, or dark energy. Open-access preprint: https://doi.org/10.5281/zenodo.18843946