Space Expands, But Matter Also Expands: One Equation, Two Limits, and the Resolution of Dark Matter, Dark Energy, and the Hubble Tension.(v6.5.1 — corrected)

This version corrects two issues from the previous oneand adds one new subsection. CORRECTIONS: (1) Section 3. 2 — Angular momentum derivation: The step r²ₑff·vₜ = L had inconsistent units (m³/s ≠ m²/s). Corrected to: From r·vₜ = L (specific angular momentum, m²/s), substituting rₑff = r + GM/c²: vₜ = L/rₑff ≈ (L/r) (1 − GM/rc²) Final result (Φₑff and 43 arcsec/century) is unchanged. (2) Symbol change throughout: δ (r) = GM/rc² renamed to ε (r) = GM/rc²to avoid confusion with the Dirac deltadistribution. Purely notational. (Suggested by a reader. ) NEW ADDITION: Section 3. 4 — GR spacetime curvature as asnapshot of expansion effects: The two physical effects in Φₑff are purelyspatial: the approaching-face effect and thesurface-flattening effect of the Sun's expansion. When the Sun's expansion is set to zero and theresult is captured from Mercury's perspective, the snapshot produces exactly GR's spacetimecurvature: - Approaching-face effect → gₜt (depth of gravitational well) - Surface-flattening effect → gᵣr (slope of gravitational well) GR's time component (gₜt) exists because thespatial expansion effects unfold over time. When frozen into a static snapshot, the temporaldimension must be reinserted explicitly — whichis what the Schwarzschild metric does via gₜt. EFT carries the same information implicitlyin r (t), requiring no separate time component. This explains why GR needs two metric componentsto yield 43 arcsec/century while EFT needs onlythe spatial contraction rₑff = r + GM/c². All scientific conclusions are identical to v6. 5.