Curvature Field Formulation of Gravity: Toward a Physical Reconstruction of Spacetime
Part II of the Curvature Field Series — From Quantum Curvature to Macroscopic Gravity
DOI:
https://doi.org/10.51094/jxiv.1579Keywords:
Curvature Field (C4), Phi–Curvature Field Equation (PCFE), Strong-gravity ring invariants (R,Θ), Event Horizon Telescope (EHT), ngEHT, Solar-System PPN / 1PN constraints, SPARC galaxy rotation curves, Cosmology snap-in (CMB, BAO, lensing), Variational taper (outer tail), Model selection (AIC, BIC, Bayes factor)Abstract
This paper (Part II) extends the “curvature field” hypothesis introduced in Introducing the Curvature Field Function (Part I) from the quantum domain to macroscopic gravity and tests it under a unified, fixed-policy pipeline. Using standardized invariants for strong gravity (R,Θ)(R,\Theta)(R,Θ) and linear-response descriptors (μ,Σ)(\mu,\Sigma)(μ,Σ), we assess SPARC rotation curves, EHT rings, Solar-System PPN, and a cosmology snap-in (CMB/BAO) without introducing a non-baryonic source term. The Curvature Field formulation (C4/PCFE) aligns with GR baselines within declared windows while offering a lean, data-facing alternative to halo degrees of freedom. All choices are preregistered and reproducible, and the framework invites further tests with forthcoming ngEHT and cosmology releases.
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