SPSP–SSC — Geography of the Model

From single-sphere projection to GR lock, SM retention, QM embedding, validated regimes, and falsifiable frontiers.

I. Foundations II. Validated Physics (Lock-In) III. Falsifiable Frontiers Single Sphere (𝒮) Projection origin; cycle phase θ ∈ S¹ Geometric seed of the model Projection Π: 𝒮 → 𝒞 Maps to spacetime cloud (𝒞) Local physics arises as pulls on 𝒞 Sorting Potential Φ (Elliptic) ∇²Φ = 4πG ρ Constraint (non-radiative); no new DOF Vₚᵣₒⱼ[Π] (Weak) Local penalty; ensures consistency η, ε → 0⁺ in validated regimes General Relativity: Locked PPN = GR; Light bending, Shapiro, perihelion GWs: only 2 TT modes, c = 1; no scalar dipole Standard Model: Intact Universal metric coupling; no new particles Local lab physics unchanged Quantum Embedding Hilbert space + Born rule + unitarity Elliptic projector P: superselection, no extra quanta Cosmology (Linear = GR/ΛCDM) SVT as in GR; Φ_g = Ψ; background ≈ ΛCDM Search: ultra-large-scale projection residuals Black Hole Interiors Recycling kernel (boundary-only); exterior GR intact Echo-like diagnostics; QNM/ringdown tests Gravitational Radiation Tests No dipole channel; 2 TT modes |Δ_dip| < 10^{-3}, |F_dip/F_quad| < 10^{-3}, β_{-2} ≈ 0 Foundations Locked to GR/SM/QM Falsifiable frontiers Origin/Hub Validated / Locked Frontier / Test Constraint / Equation

Reading guide: Start at Single Sphere (𝒮) → projection Π → elliptic constraint Φ. This enforces a non-radiative balance that locks validated physics: GR, SM, and standard QM. Arrows down indicate domains where the model is tested or can be falsified (cosmology, BH interiors, GW radiation).


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