Overview
Density Field Dynamics (DFD) is a scalar-refractive 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.
Pairing-Symmetry Selection Rules for the Cooper-Pair Mass Anomaly from A5 Microsector Representation Theory
Mar 2026Addresses the 36-year-old Tate et al. Cooper-pair mass anomaly (δ=92±21 ppm in niobium). Working within the DFD A5 microsector, establishes two pairing-symmetry selection rules: (a) the quintet exchange channel in S²(V*) couples maximally to s-wave condensates but vanishes for d-wave (angular cancellation of sign-changing gap), and (b) spin-triplet pairs live in Λ²(V*)=3, orthogonal to the quintet by representation theory alone. Numerical conjecture: δ=√3 α²=92.23 ppm (0.01σ match to Tate). Unlike the BCS-exchange correction of Lipavský (2016), this framework predicts universality for conventional s-wave superconductors—a material-independent distinction testable with existing SQUID magnetometry.
Composition-Dependent Bounds on Scalar-Field Coupling to Nuclear Decay Rates
Mar 2026Applies the Flambaum nuclear sensitivity formalism to compute isotope-specific sensitivity coefficients κq for eight nuclides central to the decade-long Jenkins–Fischbach debate on solar-modulated decay rates. Sensitivity is driven by Q-value (κq∝n/Q), placing 32Si (κq=308) and 187Re (κq≈19,000) at the top of the hierarchy. Existing null results constrain different regions of the (kqeff, κq) parameter space but do not exclude composition-dependent signals in untested low-Q isotopes. The original positive datasets (32Si at BNL, 226Ra at PTB) are now attributed to environmental systematics. Identifies 187Re and the 229Th nuclear clock isomer (K∼104) as the most sensitive future targets, and proposes a multi-isotope ratio test that eliminates systematics by design.
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.
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. Note: Superseded by Unified v3.2 for clock predictions; foundational framework remains current.
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