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 cross-sector gravitational coupling tests, including a predicted Local Position Invariance slope of ξ = 1 for cavity–atom frequency ratios.
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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Two Numerical Relations Linking the Fine-Structure Constant to Gravitational Phenomenology Parameter-free predictions: a₀ = 2√α cH₀ and kα = α²/(2π), testable with optical clock campaigns. |
Dec 2025 | PDF · Zenodo |
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kₐ and the a² Invariant: A Unified Acceleration Scale from Galaxies to Atomic Clocks Derives α-relations from scalar self-coupling; strong-field extensions and clock predictions. |
Dec 2025 | |
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Density Field Dynamics: Unified Derivations, Sectoral Tests, and Experimental Roadmap Comprehensive framework: variational structure, quantum extensions, cosmology, seven falsifiable tests. |
Oct 2025 | PDF · Zenodo |
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Solar-Locked Differential in Ion–Neutral Optical Frequency Ratios ROCIT data analysis: A = (−1.045 ± 0.078) × 10⁻¹⁷ perihelion-locked modulation in Yb⁺/Sr. |
Oct 2025 | PDF · Zenodo |
|
Emergent SU(3)×SU(2)×U(1) from a Scalar Optical Medium Conditional extension: SM gauge structure as Berry connections on internal mode bundle. |
Oct 2025 | PDF · Zenodo |
|
Parametrized Post-Newtonian Analysis of Density Field Dynamics Complete PPN mapping: all ten parameters match GR at 1PN order. |
Sep 2025 | |
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Completing Local Position Invariance Tests: A Cavity–Atom Frequency Ratio Protocol Experimental protocol for altitude-separated cavity–atom comparisons. |
Sep 2025 | PDF · Zenodo |
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Completing Einstein's 1911–12 Variable-c Program Historical context and sector-resolved cavity–atom discriminator. |
Sep 2025 | PDF · Zenodo |
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Strong Fields and Gravitational Waves in Density Field Dynamics Photon spheres, shadow scales, and ppE-mappable gravitational wave sector. |
Sep 2025 | PDF · Zenodo |
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Density Field Dynamics and Its Variant Extensions Base framework with six bounded extensions and laboratory discriminators. |
Sep 2025 | |
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Well-Posedness and Boundary Value Problems for the ψ Equation Rigorous PDE analysis: existence, uniqueness, regularity of weak solutions. |
Sep 2025 | |
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Accidental and Intentional Constraints on EM→ψ Back-Reaction Laboratory bounds: |λ−1| ≲ 3×10⁻⁵ from cavity stability. |
Sep 2025 | PDF · Zenodo |
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Matter-Wave Interferometry Tests of Density Field Dynamics Predicted T³ phase scaling in atom interferometers. |
Sep 2025 | PDF · Zenodo |
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Density Field Dynamics Resolves the Penrose Superposition Paradox Structural compatibility with quantum superposition via single classical ψ. |
Sep 2025 | |
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Density Field Dynamics and the c-Field Base framework: field equations, conservation laws, classical test recovery. |
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