The Quantized Dimensional Ledger framework for gravity, electromagnetism, and precision tests.
QDL Physics Institute develops scalar–tensor frameworks where a single coherence field modulates both gravitation and electromagnetism, with laboratory-scale, falsifiable predictions connected to modern metrology.
- ● Covariant, gauge-invariant extension of Einstein–Maxwell theory with two independent couplings \(Y(\sigma)\) and \(Z(\sigma)\).
- ● Universal Tension Parameter \(\Gamma\) derived from the action, not postulated.
- ● Concrete signatures: torsion-balance torques and NV-center frequency shifts.
Currently: JAMP submission under review and QDL research program in development.
Framework
A single coherence field, two couplings, and a derived Universal Tension Parameter.
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.
Experimental Proposals
Binary predictions for torsion balances and NV centers, compatible with existing technology.
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.
Publications & Preprints
Current manuscripts, preprints, and supplementary datasets.
Core Scalar–Tensor Paper
Title: A Quantized-Dimensional Ledger Framework for Electromagnetism and Gravity: Exact Ledger Equivalences, Coherence-Cell Geometry, and a Decisive Laboratory Test.
Status: Under review.
This manuscript develops the covariant action, derives the field equations, recovers Einstein–Maxwell in the appropriate limit, and presents two laboratory tests (torsion balance and NV centers) that can falsify the simplest QDL implementation.
Related QDL Preprint
Title: A Quantized Dimensional Ledger Framework for Gravitation, Electromagnetism, and Metrology.
This preprint presents the broader QDL concept, its dimensional ledger, and its implications for unifying physical constants and metrological practice, including a 100-entry QMU-style ledger and metrology-focused discussion.
As journal versions stabilize, public repository links and supplementary datasets will be listed here.
Data and Supplementary Material (Planned)
In conjunction with peer-reviewed publication, this site will host or link to:
- Ledger tables and dimensional audits associated with QDL.
- Example simulation scripts for torque and NV-shift estimates.
- Experimental design notes and reference geometries.
QDL Physics Institute
Independent research institute focused on coherent, testable models of unified dimensional physics.
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
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.
Contact & Collaboration
Inquiries from theorists, experimentalists, metrologists, and policy-makers are welcome.
Get in Touch
For correspondence regarding the scalar–tensor framework, experimental proposals, or metrology implications, please use:
Email: [email protected]
Collaboration is particularly encouraged with:
- Torsion-balance and precision-force laboratories.
- Diamond NV-center and quantum sensing groups.
- Atomic clock and optical frequency standard teams.
- Researchers working on scalar–tensor gravity and varying-constant models.