Overview
Density Field Dynamics (DFD) is a scalar-tensor framework in which a refractive field ψ governs both photon propagation (n = eψ) and test-mass acceleration (a = c²/2 ∇ψ). The theory reproduces standard post-Newtonian predictions in the weak-field limit while making distinct predictions for optical clock comparisons, cavity–atom frequency ratios, and galactic rotation curves.
The extended framework derives α−1 = 137.036 and nine fermion masses from CP²×S³ topology with zero continuous fit parameters.
This site archives preprints, data packages, and experimental proposals associated with this research program. All documents are preprints unless otherwise noted.
Papers and Preprints
Density Field Dynamics: A Complete Unified Theory (v3.2)
Mar 2026Comprehensive 196-page unified treatment with 20 main sections, 26 appendices (A–Z), and 125 references. Gravity sector: full PPN match (γ=β=1), gravitational waves (cT=c), SPARC model-independent shape analysis (nopt=1.15±0.12, 95% CI [1.00, 1.50], MOND n=2 strongly disfavored), cluster masses (16/16 within ±10%). Gauge emergence: SU(3)×SU(2)×U(1) from CP²×S³ topology, α−1=137.036 (lattice verified L6–L16, 9/10 at p<0.01), sin²θW=3/13 derived (5/3 GUT normalization derived, not assumed; 0.2% agreement), αs(MZ)=0.1187 (0.8σ), Higgs v=246.09 GeV (0.05% error), mH=123 GeV (tree-level), 9 charged fermion masses (1.42% mean error), CKM Wolfenstein parameters (0.55% mean agreement), neutrino Δm² matching NuFIT 6.0 (χ²=0.025, p=0.99, Σmν=61.4 meV), θ̄=0 (strong CP solved without axion). Cosmology: ψ-screen reconstruction, H0=72.09 km/s/Mpc, distance duality corrected. Predictions: LPI slope ξ≈10−5 (screened), UVCS Γ=4 (confirmed: 4.4±0.9), species-dependent clock coupling kα≈8.5×10−6, nuclear clock Th-229 signal ∼10−13. Zero continuous fit parameters throughout.
Ab Initio Derivation of the Fine-Structure Constant from Density Field Dynamics
Dec 2025Lattice Monte Carlo verification of α emergence from Chern-Simons quantization on S³. 86 independent runs across lattice sizes L=4–12 with kmax=60 yield α−1=137.036 with deviation <0.1% from experiment. No fitted parameters.
Two Numerical Relations Linking the Fine-Structure Constant to Gravitational Phenomenology
Dec 2025Parameter-free predictions connecting α to gravitational observables: MOND acceleration scale a0=2√α·cH0 and gravitational clock coupling kα=α²/(2π)≈8.5×10−6. Both testable with current optical clock technology.
kα and the a² Invariant: A Unified Acceleration Scale from Galaxies to Atomic Clocks
Dec 2025Derives the α-relations from scalar self-coupling structure. Extends predictions to strong-field regimes and provides clock comparison signatures at the 10−5 level across multiple atomic species.
Solar-Locked Differential in Ion–Neutral Optical Frequency Ratios
Oct 2025Analysis of published ROCIT frequency ratio data (Yb+/Sr) revealing perihelion-locked modulation: amplitude A=(−1.045±0.078)×10−17 with period matching Earth's orbital eccentricity. Consistent with sector-differential ψ coupling; independent replication encouraged.
Parametrized Post-Newtonian Analysis of Density Field Dynamics
Sep 2025Complete PPN expansion in the weak-field, slow-motion limit. All ten PPN parameters match General Relativity at 1PN order: γ=β=1, ξ=α1=α2=α3=ζ1=ζ2=ζ3=ζ4=0. DFD is observationally indistinguishable from GR for all current solar system tests.
Completing Local Position Invariance Tests: A Cavity–Atom Frequency Ratio Protocol
Sep 2025Experimental protocol for testing LPI via altitude-separated comparisons of cavity-stabilized and atomic transition frequencies. Predicts non-null slope at 10−5 level distinguishing DFD from GR. Suitable for JILA, PTB, NIST, or NPL implementation.
Strong Fields and Gravitational Waves in Density Field Dynamics
Sep 2025Extension to strong-field regime: photon sphere locations, black hole shadow predictions, and gravitational wave propagation. Tensor wave speed cT=c exactly, satisfying GW170817 constraint. All parameterized post-Einsteinian (ppE) bounds satisfied.
Well-Posedness and Boundary Value Problems for the ψ Equation
Sep 2025Rigorous PDE analysis of the DFD field equation. Establishes existence, uniqueness, and regularity of weak solutions in appropriate Sobolev spaces. Proves energy conservation and derives asymptotic boundary conditions.
Accidental and Intentional Constraints on EM→ψ Back-Reaction
Sep 2025Laboratory bounds on electromagnetic coupling to ψ from cavity stability measurements. Constrains back-reaction parameter |λ−1|≲3×10−5, demonstrating consistency with precision metrology and identifying future experimental sensitivity targets.
Matter-Wave Interferometry Tests of Density Field Dynamics
Sep 2025Predicted signatures in atom interferometers: T³ phase scaling (versus T² for Newtonian gravity) in long-baseline configurations. Quantitative predictions for Stanford 10m tower and proposed satellite experiments.
Density Field Dynamics and the c-Field
Aug 2025Foundational paper establishing the core framework: field equations for ψ, energy-momentum conservation, recovery of Newtonian limit, and classical test predictions. Introduces the optical-refractive interpretation of gravitational phenomenology.
Data and Code
Open datasets and analysis code for independent verification:
- ROCIT Ion–Neutral Frequency Ratio Analysis — Full methods, figures, and scripts (DOI: 10.5281/zenodo.17272596)
Background
- Historical Lineage — Relationship to Einstein 1911–12, Fermat, scalar-tensor theories
- Framework Comparison — Technical comparison with GR, MOND, scalar-tensor alternatives