Core Idea
Density Field Dynamics (DFD) is a scalar-field reformulation of gravity and optics. Instead of curving spacetime, a single scalar field ψ (psi) lives on flat three-dimensional space and sets both:
-
Optics: the refractive index is
n = exp(ψ), so the local one-way speed of light isc₁ = c · exp(−ψ). -
Dynamics: the acceleration of a freely falling test mass is
a = (c² / 2) · grad ψ.
In other words, ψ simultaneously determines how light rays bend and how masses accelerate. The usual post-Newtonian tests are reproduced in the weak-field limit, but DFD predicts clean, sector-resolved deviations in experiments that compare different kinds of clocks or matter.
Key Predictions and Targets
The program is designed to be falsifiable by a small number of targeted experiments:
- Cavity–atom clock comparisons: DFD predicts a non-zero Local Position Invariance slope for cavity–atom and atom–atom frequency ratios at the level accessible to modern optical clocks.
- Annual modulation in frequency ratios: re-analysis of existing multi-year clock datasets suggests perihelion-locked signals in cross-species ratios that are consistent with ψ-driven effects.
- Acceleration scale relations: simple parameter-free relations connect the MOND acceleration scale, the fine-structure constant, and the Hubble parameter. These are meant to be judged on numerical success or failure, not rhetoric.
- Matter-wave interferometry: specific signatures in phase scaling and configuration space are proposed for cold-atom experiments.
Technical Material and Data
A detailed set of preprints covers the field equations, weak-field limits, strong-field extensions, cosmology, and proposed laboratory tests.
- Full archive, figures, and expository material: densityfielddynamics.com
- All current preprints and associated datasets: Zenodo search for “Alcock, Gary”
Materials include clock re-analyses, post-Newtonian mapping, strong-field and gravitational-wave extensions, matter-wave proposals, and work-in-progress notes on links between ψ, cosmology, and gauge structure.
Collaboration
I am particularly interested in working with groups running:
- Long-baseline optical clock comparisons (especially multi-species, multi-year campaigns).
- High-precision atom interferometry experiments.
- Laboratory tests that probe Local Position Invariance beyond standard scalar–tensor frameworks.
If you are running or planning an experiment and would like a concrete DFD prediction or data-analysis template tailored to your setup, feel free to reach out directly: gary@gtacompanies.com.