Dynamic Location Theory - Christopher Woodyard

Why this matters

A single framework should be easy to understand before it is judged.

If location is an internal property rather than an external label, then position, time, and retrieval may be describable through one shared framework. The goal of this page is to make that proposal legible, inspectable, and worth serious investigation.

Clear claim: the thesis is stated before the theory is unpacked.
Falsifiable posture: the framework points to measurable test domains instead of relying on mystique alone.
Direct access: readers can move immediately from summary to paper, citation, repository, and equations.

What can be tested

Three places where the framework makes contact with experiment.

Atomic clocks

Differential atomic-clock interferometry should register relative phase shifts on the order of $10^{-19}$ rad.

Matter waves

Anomalous phase behavior is predicted when the scalar-field gradient exceeds $|\nabla\phi|^2 > 10^{16}$ in SI units.

GW observatories

LIGO, Virgo, KAGRA, and LISA provide a setting for looking for narrow-band resonant excess strain near $\omega^*$.

Abstract

The research statement in full.

This paper unifies spatial localization and temporal re-localization under a single resonance model in which location is a property of the object, selected by resonance between matter and a background scalar field. Rather than treating position and time as external labels on a spacetime manifold, the framework encodes the spatiotemporal position of any physical system in the dominant resonance frequency $\omega_{\rm loc}$ of its coupled matter-scalar-field state.

It defines a frequency-parameterized localization operator $\mathcal{L}$ acting on the extended Hilbert space $\mathcal{H}_{\rm sys} \otimes \mathcal{H}_\phi$, derives the driven field-theoretic coupling, and recovers standard quantum mechanics and classical trajectories in the weak-coupling limit. Macroscopic material re-localization remains energetically prohibitive while informational re-localization respects Landauer's bound and remains physically tractable in principle.

Mathematical core

The derivation behind the localization claim.

Because location is modeled as an internal resonant property rather than an external coordinate, shifting the dominant frequency yields a Type-I phase shift without requiring mass-energy transport through space.

\[\Delta\phi(t) = \gamma\int_0^t\bigl(\omega_1(t') - \omega_2(t')\bigr)\,dt'\]

Eq. 1 · A phase-shift relation that links atomic-clock interferometry, matter-wave anomalies, and gravitational-wave signatures.

Gravitational-wave application

A concrete observational path, not just an abstract claim.

The non-minimal coupling $-\xi(\omega)\phi^2R$ sources scalar excitations from gravitational-wave curvature, producing a narrow-band resonant excess strain near the resonance frequency $\omega^*$.

\[\Delta\phi_{\rm DLT} = C\,\xi(\omega)\,h_+(t)\,\tau\]

Eq. 2 · A Type-I phase-shift formulation in which the predicted effect is observational rather than cinematic.

Read the paper

Go deeper through the primary artifacts.

Primary paper

Download the paper directly to inspect the full derivation, framing, and theoretical claims.

Open 137.pdf

Repository

Review the site source, supporting assets, and repository context behind this public research page.

Open GitHub repository

R.A.I.N. Lab

See the broader research context and adjacent work in the linked lab repository.

Open lab repository

Citation

Reference the work directly.

DOI · 10.5281/zenodo.18263032

This page is designed to make the work easier to evaluate. The strongest next step is still to inspect the paper itself.

@misc{woodyard2026dlt,
  author = {Woodyard, Christopher},
  title = {Dynamic Localization Across Space and Time},
  year = {2026},
  doi = {10.5281/zenodo.18263032},
  url = {https://github.com/topherchris420/research}
}