From the Cubic Vacuum to Anti-Relativity: Gravity, Preferred Frame, and Newton's Single Law in TVS23

Einstein's field equations and Newton's three laws are conventionally treated as independent theoretical structures requiring separate postulates. This paper derives both from a single discrete substrate within the Structured Vacuum Theory TVS23, where the vacuum is the dodecahedral network V₂₃ determined by x³ − x − 1 = 0 and |Δ| = 23. The 4 longitudinal channels of V₂₃ define an effective field Ξ_L that induces a rational correction tensor H_μν to Einstein's equations, with all coefficients fixed in ℚ: γ = λ = 4/529. The modified field equations G_μν + H_μν = 8πG T_μν recover pure General Relativity when Ξ_L = 0, produce flat galactic rotation curves without dark matter in the weak-field regime, and generate controlled deviations from GR in the strong-field regime — all from the same term, with zero free parameters. The equivalence principle emerges from the universality of the A₅ coupling structure, not as a postulate. However, V₂₃ defines a physically preferred frame — the frame of homogeneous channel occupation — breaking Einstein's ontological equivalence of all frames. The equations are generally covariant; the vacuum is not. Newton's three laws collapse into a single Lagrangian: L_eff = ½M(C)ẋ² − V(x), with M(C) ∈ ℤ,ℚ. Inertia, F = ma, and action-reaction are special cases of one Euler-Lagrange equation, not independent axioms. Newton was right. He just didn't have the language.