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 scalar–tensor submission under review and QDL metrology 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
Canonical QDL papers and companion datasets hosted via Zenodo.
View all records on ZenodoA Minimal Length–Frequency Basis for Physical Quantities: An Inverse-Length Cavity Scaling Lab
Pedagogical treatment of dimensional analysis in a length–frequency basis, using an inverse-length cavity scaling experiment as a concrete lab context. Connects directly to the QDL metrology primitives and provides an education-ready bridge from conventional M–L–T analysis to a 3L+2F ledger language.
A Dimensional Closure Framework for the Ontology of Physical Constants
Introduces a five-dimensional 3L+2F exponent basis and a canonical 100-entry Quantized Dimensional Ledger (QDL) for physical quantities. Classifies constants into invariants, couplings, and emergent ratios, and demonstrates how quantities such as the vacuum impedance and the Rydberg constant acquire transparent structural roles in the ledger.
Structural Constraints on Fundamental Constants in a Five-Dimensional Integer-Exponent Framework
Develops the QDL lattice into a precise algebraic tool for analyzing the independence structure of physical constants. Proves a trichotomy into Type I (dimensionless invariants), Type II (dimensional generators), and Type III (emergent ratios), and shows that only the first class can vary independently without breaking dimensional neutrality of the field equations.
Toroidal Coordinate Representation of the Schrödinger Equation with Cross-Domain Structural Applications
Presents a fully separated toroidal-coordinate representation of the time-independent Schrödinger equation and a unitary map back to the spherical basis. Couples this Toroidal Orbit Model (TOM) to the QDL dimensional ledger and a seat-tiling grammar, reproducing shell capacities, magic numbers, and angular patterns in atomic, nuclear, and molecular domains under equal-parameter statistical comparisons.
The Quantized Dimensional Ledger for Metrology: Dimensional Closure, QMU Ledgers, and the Ontology of Physical Constants
Establishes the Quantized Dimensional Ledger (QDL) as a unified 3L + 2F length–frequency basis for cross-domain metrology. Develops a 100-entry Quantum Measurement Unit (QMU) ledger, classifies physical constants into invariants, couplings, and emergent ratios, and provides machine-readable ledger data for dimensional audits and metrological analysis.
A Quantized Dimensional Ledger Framework for Gravitation, Electromagnetism, and Metrology
Earlier, broader QDL preprint outlining the foundational dimensional framework connecting gravitation, electromagnetism, and metrology. Presents the original ledger concept, explores dimensional closure across domains, and motivates scalar–tensor extensions and laboratory-scale tests developed in later work.
Ledger Data and Supplementary Material
The QDL Metrology Zenodo record includes the full 100-entry QMU ledger in CSV form, with a README documenting column definitions and usage notes. Additional derivation notes, code, and supplementary materials are linked from the relevant Zenodo records and from this site as the QDL research program progresses.
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
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.
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.