The Quantized Dimensional Ledger framework for gravity, electromagnetism, and precision tests.

Core Idea

The QDL framework embeds a scalar coherence field \(\sigma(x)\) into a covariant, gauge-invariant extension of Einstein–Maxwell theory. Two independent coupling functions, \(Y(\sigma)\) and \(Z(\sigma)\), control the strength of gravitational and electromagnetic responses, respectively.

In the vacuum value \(\sigma_0\), the effective couplings are

\[ G_{\mathrm{eff}} = \frac{c^4}{16\pi Y(\sigma_0)}, \quad k_{e,\mathrm{eff}} = Z(\sigma_0), \quad \Gamma = \frac{c^4}{16\pi} Y(\sigma_0). \]

The Universal Tension Parameter \(\Gamma\) thus emerges from the action. The pair \((Y,Z)\) defines a “coupling-space vector” that reinterprets the original ledger projection idea in a clean geometric way.

Conservative but Falsifiable

The theory:

• Preserves diffeomorphism invariance and Lorentz covariance.
• Respects \(U(1)\) gauge symmetry and charge conservation.
• Reduces exactly to Einstein–Maxwell when \(\partial_\mu \sigma = 0\).
• Predicts small, controlled deviations only when \(\sigma(x)\) varies.

Instead of purely cosmological or extra-dimensional speculation, the framework targets table-top laboratory tests in torsion balances and solid-state spin systems, directly tied to modern metrology.

Experiment A: Torsion–Flux Test

A neutral test mass on a torsion fiber is placed near a driven electromagnetic cavity or loop-gap resonator. If \(Z(\sigma)\) varies in response to local EM energy density, gradients of \(Z(\sigma) T^{(\mathrm{EM})}_{ij}\) generate a small but measurable torque about the fiber.

Predicted scale:

• \(\tau \sim 10^{-13}–10^{-11}\,\mathrm{N\,m}\),
• current sensitivity of torsion balances: \(\sim 10^{-14}\,\mathrm{N\,m}\).

The effect is parametrized by a small fractional change \(\Delta Z/Z\) tied to the coherence field, allowing a clean “yes/no” test without free tuning at the apparatus.

Experiment B: NV-Center Frequency Shifts

Nitrogen–vacancy centers in diamond act as ultra-sensitive magnetometers. A \(\sigma\)-dependent rescaling of \(Z(\sigma)\) modifies the effective magnetic field seen by the NV spin, shifting the resonance frequency:

\[ \Delta f \approx \frac{\gamma_e}{2\pi} B \left(\frac{1}{2}\frac{\Delta Z}{Z}\right). \]

For \(B = 0.1–1\ \mathrm{mT}\) and \(\Delta Z/Z = 10^{-8}–10^{-6}\), the model predicts \(\Delta f \sim 10^{-2}–10^{1}\,\mathrm{Hz}\), squarely in the range of state-of-the-art NV magnetometry.

This connects scalar–tensor gravity directly to quantum sensing and precision frequency standards.

Mission

QDL Physics Institute conducts theoretical and phenomenological research on unified dimensional frameworks that connect geometry, electromagnetism, gravitation, and precision measurement. The emphasis is on:

• Mathematically clean, covariant formulations.
• Parameter-free or minimally parameterized predictions.
• Direct experimental falsifiability using existing technology.
• Transparent, reproducible ledger-style documentation of constants and units.

Institutional Details

Name: QDL Physics Institute
Founder & Director: James D. Bourassa
Location: 11731 Woodcreek Drive, Huntley, IL 60142, USA
Contact: [email protected]

The institute supports a long-term agenda that includes:

• The QDL scalar–tensor research program.
• The QDL Expert System (QDL-ES) for structured training and audits.
• The Eagle Initiative concept for national-level experimental validation and applications.

To learn more about the founder and the research program, see About the Founder.