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 and the Lens of Time (LoT) Theory present a unified, purely kinematic alternative to conventional gravity and the standard ΛCDM cosmological model. Gravity and accelerated cosmic expansion are not produced by attractive forces, spacetime curvature, dark matter, or dark energy; instead, they emerge as illusions from an intrinsic, radially outward micro-acceleration present in all matter:

Core law r¨=αρkeff(ρ) \ddot{r} = \alpha \rho^{k_{\rm eff}(\rho)} r¨=αρkeff(ρ) where

• α≈8.42×10−26 \alpha \approx 8.42 \times 10^{-26} α≈8.42×10−26 m s−2 ^{-2} −2 (g cm−3 ^{-3} −3)−1 ^{-1} −1 (universal constant, calibrated once from terrestrial data)
• keff(ρ)=1+βln⁡(ρref/ρ) k_{\rm eff}(\rho) = 1 + \beta \ln(\rho_{\rm ref} / \rho) keff(ρ)=1+βln(ρref/ρ) with β≈0.007 \beta \approx 0.007 β≈0.007 and ρref=2.7 \rho_{\rm ref} = 2.7 ρref=2.7 g cm−3 ^{-3} −3 (average terrestrial rock density)

This single logarithmic refinement generates a smooth transition across >45 orders of magnitude in density:

• Subatomic / nuclear regime (ρ≳1014 \rho \gtrsim 10^{14} ρ≳1014 g cm−3 ^{-3} −3): keff≈0.8 k_{\rm eff} \approx 0.8 keff≈0.8–0.9 → reduced outward push provides kinematic confinement and stability (analogous to strong force effects without invoking it).
• Terrestrial plateau (ρ≈1 \rho \approx 1 ρ≈1–3 g cm−3 ^{-3} −3): keff=1.0 k_{\rm eff} = 1.0 keff=1.0 → linear regime produces the equivalence-principle illusion of gravity, plus cumulative Lens of Time effects (e.g., pyramid joint closure 5 mm → 0.5 mm over 4500 years, granite porosity reduction and hardening 30 → 180 MPa).
• Galactic halo regime (ρ∼10−24 \rho \sim 10^{-24} ρ∼10−24 to $10^{-17}$ g cm−3 ^{-3} −3): keff≈1.2 k_{\rm eff} \approx 1.2 keff≈1.2–1.4 → MOND-like modified dynamics without dark matter.
• Cosmic voids (ρ∼4×10−31 \rho \sim 4 \times 10^{-31} ρ∼4×10−31 g cm−3 ^{-3} −3): keff≈1.5 k_{\rm eff} \approx 1.5 keff≈1.5–1.6 → drives apparent accelerated expansion (Hubble flow) without dark energy or cosmological constant.

Double integration of the local acceleration yields the Lens of Time scale factor s(t)=1+αρkeff2t2r0 s(t) = 1 + \frac{\alpha \rho^{k_{\rm eff}}}{2} \frac{t^2}{r_0} s(t)=1+2αρkeffr0t2, a quadratic-in-time enlargement that explains why minuscule accelerations (∼10−26 \sim 10^{-26} ∼10−26 m s−2 ^{-2} −2) produce observable macro-scale changes only over geological or cosmic timescales.

With only two universal parameters (α \alpha α and β \beta β), RMS/LoT unifies subatomic stability, everyday gravity, galactic rotation curves, early massive galaxy formation, Hubble/S8 tensions, and cosmic acceleration in a minimal kinematic framework. The theory is falsifiable via proposed laboratory tests (dense-block differential gap closure) and high-density astrophysical observations (neutron star interiors, quark matter).

Historical development The framework originated from paleontological thought experiments (2005–2007) questioning fossil enlargement over deep time, revived in 2026 through skepticism about Bronze Age pyramid construction capabilities, and iteratively refined through discussions with AI systems (Gemini and Grok) to reach its current quarks-to-voids scope.

Keywords modified gravity, emergent gravity, kinematic gravity, density-dependent expansion, dark energy alternative, dark matter alternative, Lens of Time, ancient Egypt archaeology, pyramid construction, fossil enlargement, subatomic confinement

Primary preprint DOI https://doi.org/10.5281/zenodo.18882532 (Companion archaeological case study: https://doi.org/10.5281/zenodo.18883424)

All scientific claims, equations, parameter values, and interpretations are the author's own. AI assistance (Grok, xAI) was used for drafting, editing, and LaTeX formatting only.