All PDFs are hosted in this archive. Entries include official Zenodo records where available.
Flagship Framework
Density Field Dynamics: Unified Derivations, Sectoral Tests, and Experimental Roadmap
The comprehensive theoretical framework establishing DFD from variational principles through experimental falsification.
Part I: Variational structure, energy conservation, PPN consistency, and precision metrology predictions.
Part II: Quantum extensions (ψ-coupled Schrödinger equation, objective collapse mechanism) and cosmological dynamics (modified redshift, H₀ anisotropies, late-time shallowing).
Part III: Complete experimental roadmap with seven falsifiable tests spanning laboratory to cosmic scales.
Single coupling constant fixed by light deflection; all predictions follow parameter-free. This document closes the loop between electrodynamics, metrology, and cosmology under one scalar field.
ROCIT Data Analysis
Solar-Locked Differential in Ion–Neutral Optical Frequency Ratios: Empirical Evidence for a Reproducible Heliocentric Phase Modulation
Statistical analysis of ROCIT (Robust Optical Clocks for International Timescales) public dataset reveals solar-phase-locked modulation A=(−1.045±0.078)×10⁻¹⁷ (Z=13.5σ) in the Yb⁺(E3)/Sr ion–neutral ratio, with a smaller but phase-consistent signal in neutral–neutral Yb/Sr—while independent SYRTE neutral–neutral controls remain null. Provides first empirical evidence for sectoral LPI response consistent with DFD's predicted ξ=1 slope and universal ψ normalization fixed by light deflection and Shapiro delay.
Conceptual Foundation
Preface: Why Density Field Dynamics is Fundamental Physics
Conceptual foundation clarifying DFD from a single physical postulate about one-way light speed variation while preserving two-way constancy.
Gauge Structure
Emergent SU(3)×SU(2)×U(1) from a Scalar Optical Medium
Demonstrates that the Standard Model gauge group emerges as Berry connections on an internal mode bundle of the ψ-medium. From Maxwell + reciprocity + DFD optics, derives the (3,2,1) degeneracy pattern yielding SU(3)×SU(2)×U(1) with electroweak mixing tan θ_W = √(κ₂/κ₁), anomaly-free chiral matter, and three generations from cubic-root spin^c topology. Provides explicit micro-to-macro derivation via auxiliary P,M fields, Kubo formulas for gauge stiffnesses, and falsifiable pattern tests: hadronic/EM ratio δln μ/δln α ≈ 22–24, species ordering in clock drifts, triangle closure, and tabletop non-Abelian holonomy experiment. Conditional extension of DFD with independent experimental pathways.
Complete Framework
Density Field Dynamics and Its Variant Extensions
The flagship DFD framework presenting explicit field equations, weak-field predictions, and six bounded extensions (EM back-reaction, dual-sector ε/μ splitting, nonlocal kernels, vector anisotropy, stochasticity, strong-field closure). Includes decisive laboratory discriminators: cavity–atom LPI slopes and T³ matter-wave phases. Comparison to scalar-tensor and æther alternatives, scope limitations in cosmology/strong-fields/GW, and explicit appendices included.
PPN Analysis
Parametrized Post-Newtonian Analysis of Density Field Dynamics
Complete mapping of DFD to all ten standard PPN parameters {γ, β, ξ, α₁,₂,₃, ζ₁,₂,₃,₄} in the 1PN regime. Starting from the optical-metric ansatz, derives γ = β = 1 from the scalar sector and solves the vector sector via transverse projection. All ten parameters match GR at 1PN order. Includes audit checks, validation against classic observables, and experimental implications.
Mathematical Rigor
Well-Posedness and Boundary Value Problems for the ψ Equation
Rigorous PDE analysis of the quasilinear elliptic equation −∇·[μ(|∇ψ|)∇ψ] = f arising in DFD. Develops existence, uniqueness, and regularity of weak solutions, extends to exterior domains with asymptotically flat boundary conditions, and incorporates monotone nonlinear Robin–Neumann conditions modeling photon-spheres and horizons. Includes stability estimates, parabolic well-posedness via nonlinear semigroup theory, variational formulation, and FEM implementation outline.
Laboratory Protocol
Completing Local Position Invariance Tests: A Cavity–Atom Frequency Ratio Protocol
A concise, experimentally oriented protocol to compare co-located cavity and atomic frequency standards at two gravitational potentials. GR predicts a strict null for the cavity–atom ratio slope; any reproducible nonzero slope would indicate sector-dependent deviation. Natural scale: ~10⁻¹⁴ per 100 m; compatible with 10⁻¹⁶ optical-clock precision.
Historical Context
Completing Einstein's 1911–12 Variable-c Program
Revisits Einstein's early program with a scalar refractive field ψ sourced by density. Recovers classical optical tests in the appropriate limits and proposes a sector-resolved cavity–atom discriminator (slope ≈ 2ΔΦ/c²) for laboratory falsification.
EM Coupling Bounds
Accidental and Intentional Constraints on EM→ψ Back-Reaction
Laboratory bounds on electromagnetic back-reaction to scalar backgrounds. Stability of high-Q cavities suggests |λ−1| ≲ 3×10⁻⁵ (accidental bound); intentional modulation experiments could reach ~10⁻¹⁴.
Sector-Resolved LPI
Sector-Resolved Test of Local Position Invariance with Co-Located Cavity–Atom Ratios
Sector-resolved framework for LPI tests using co-located optical cavity and atomic clock frequencies across gravitational potentials; includes GLS identifiability and control strategy (dual-λ, orientation flips, hardware swaps).
Quantum Foundations
Density Field Dynamics Resolves the Penrose Superposition Paradox
Addresses Roger Penrose's long-standing claim that quantum superpositions of mass distributions are structurally
inconsistent with general relativity. Shows that in DFD, superposed sources generate a single classical refractive
field ψ, avoiding the "two geometries vs. one Hilbert space" paradox. Provides worked examples, existence/uniqueness
proofs, and identifies laboratory discriminators (cavity–atom slope and T³ interferometer scaling) that can decide
between frameworks experimentally.
Matter-Wave Tests
Matter-Wave Interferometry Tests of Density Field Dynamics
Prediction of T³ phase scaling in atom interferometers from gradient coupling in a ψ-modified Schrödinger operator; ~2×10⁻¹¹ rad at T=1 s under realistic parameters.
Strong Fields & GW
Strong Fields and Gravitational Waves in Density Field Dynamics
Foundations for strong-field structures (photon spheres, shadow scales) and a radiative sector mappable to ppE for gravitational-wave tests.
Base Framework
Density Field Dynamics and the c-Field
Base framework: field equations, conservation laws, Newtonian and optical limits, and recovery of classical tests in appropriate regimes.
Unexplained Bright–Dim Intensity Asymmetries in SOHO/UVCS Lyman-α Data
Note: This is independent solar physics research.
Permutation test analysis of 334 daily sequences of SOHO/UVCS Lyman-α spectra (2007–2009). 163 of 321 day–radial bins (51%) exhibit statistically significant bright–dim intensity contrasts at FDR 5%. Effect size is modest (Cohen's d ≈ 0.24) but robust. Velocity differences are not significant. Origin unknown; may reflect solar structures, instrumental systematics, or unexplored physical processes. Published as an open anomaly to encourage community investigation.