
10.5281/zenodo.18451603 We present the Space-Matter Continuum (SMaC) theory, a complete frameworkthat unifies gravity, time, and the large-scale structure of the Universe. Basedon the empirical discovery that galactic sizes follow R ∝ ρ−0.501±0.011 across 175SPARC galaxies (R2 = 0.907), we derive fundamental equations where gravita-tional strength Geff and time flow rate dτ /dt both depend on local continuumdensity ρ. Remarkably, two independently measured dimensionless parameters—Π = V 2 flatReff/(GMbar) from galaxy dynamics and α from β ∝ Σα scaling—yieldidentical values: Π = 1.332 ± 0.012 and α = 1.332 ± 0.018, both consistent withthe mathematical constant 4/3. This identity Π = α = 4/3 leads to ρDM ∝ ρ11/6bar, explaining galactic rotation curves without dark matter particles. Laboratory pre-dictions include measurable G variations (∆G/G ≈ 10−11 in lead) and time flowdifferences (∆τ ≈ 16 s/year in dense media). SMaC resolves both dark matter anddark energy with zero free parameters, restoring unity to fundamental physics.
The Fundamental Identity, Solution to Dark Matter, SMaC Fundamental Equations
The Fundamental Identity, Solution to Dark Matter, SMaC Fundamental Equations
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