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
| Title | Date | Links |
|---|---|---|
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Density Field Dynamics: A Complete Unified Theory (v2.0) Comprehensive 135-page unified treatment with 623 equations and 41 theorems. Gravity sector: full PPN match (γ=β=1), gravitational waves (cT=c), galactic dynamics (SPARC sample of 175 galaxies; RAR fit quoted at 4.8% mean absolute residual for N=153), cluster masses (16/16 within ±10%). Gauge emergence: SU(3)×SU(2)×U(1) from CP²×S³ topology, α⁻¹=137.036 (Theorem F.13), Higgs v=246.09 GeV (observed 246.22 GeV), 9 charged fermion masses (1.9% mean error), θ̄=0 (strong CP solved without axion). Cosmology: ψ-screen reconstruction, H₀=72.09 km/s/Mpc. Predictions: LPI slope ξ≈1.01–1.45 (GR: 0), UVCS Γ=4 (confirmed: 4.4±0.9), species-dependent clock coupling kα≈8.47×10⁻⁶. Zero continuous fit parameters throughout. |
Dec 2025 | PDF · Zenodo |
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Ab Initio Derivation of the Fine-Structure Constant from Density Field Dynamics Lattice 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. |
Dec 2025 | |
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Two Numerical Relations Linking the Fine-Structure Constant to Gravitational Phenomenology Parameter-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. |
Dec 2025 | PDF · Zenodo |
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kα and the a² Invariant: A Unified Acceleration Scale from Galaxies to Atomic Clocks Derives 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. |
Dec 2025 | |
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Solar-Locked Differential in Ion–Neutral Optical Frequency Ratios Analysis 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. |
Oct 2025 | PDF · Zenodo |
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Parametrized Post-Newtonian Analysis of Density Field Dynamics Complete 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. |
Sep 2025 | |
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Completing Local Position Invariance Tests: A Cavity–Atom Frequency Ratio Protocol Experimental 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. |
Sep 2025 | PDF · Zenodo |
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Strong Fields and Gravitational Waves in Density Field Dynamics Extension 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. |
Sep 2025 | PDF · Zenodo |
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Well-Posedness and Boundary Value Problems for the ψ Equation Rigorous 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. |
Sep 2025 | |
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Accidental and Intentional Constraints on EM→ψ Back-Reaction Laboratory 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. |
Sep 2025 | PDF · Zenodo |
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Matter-Wave Interferometry Tests of Density Field Dynamics Predicted 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. |
Sep 2025 | PDF · Zenodo |
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Density Field Dynamics and the c-Field Foundational 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. |
Aug 2025 | PDF · Zenodo |
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