Independent theoretical & metrological research

Quantized Dimensional Ledger (QDL): Dimensional Closure as an Admissibility Framework

The Quantized Dimensional Ledger (QDL) is a structural admissibility framework that strengthens dimensional analysis into a dimensional-closure constraint on models—restricting admissible terms, couplings, and normalizations prior to phenomenological fitting. In this formulation, QDL functions as a prediction-filtering and validation layer across physics, cosmology, and measurement.

3L + 2F prediction filter Quantized Dimensional Cell (QDC) EFT & SMEFT structure Gravity & metrology links

Framework Definition (Canonical Reference)

Admissibility & validation layer

The formal definition of QDL as a dimensional-closure admissibility and model-validation framework is given in:

Dimensional Closure as a National-Scale Model Validation Layer: From Dimensional Analysis to Prediction Filtering, Measurement Auditability, and Interoperable Trust
Bourassa, J. D. (2025). Zenodo. DOI: 10.5281/zenodo.17979789

This framework reference is independent of any specific application (cosmology, EFT, metrology, engineering).

Read canonical framework paper View core program papers

Location: Huntley, Illinois, USA · Focus: dimensional closure, ledger geometry, EFT structure, gravity, precision metrology, and falsifiable tabletop tests.

Quantized Dimensional Ledger (QDL)

Conserved 3L + 2F dimensional cell

QDL treats dimensional exponents as entries in a ledger over a two-base space of Length (L) and Frequency (F), with a conserved 3L + 2F Quantized Dimensional Cell that constrains admissible fields, couplings, and constants.

In this picture, the Quantized Dimensional Cell is not just a unit choice but a geometric object: a discrete, conserved dimensional volume that all valid physical quantities must respect. This gives a common structural language for particle physics, gravitation, and metrology.

The same cell structure underlies:

Standard Model and EFT operator content organized by a closure rule.
Scalar–tensor gravitation, minimum-length geometry, and cosmological sectors sharing the same ledger.
Metrology ledgers for physical constants and quantum measurement units.
Proposed experimental scalings in torsion, NV centers, cavity modes, and metamaterials.

Together, these elements turn dimensional analysis from bookkeeping into a structural principle for unified physics and precision measurement, linking the unified SM + gravity structure, SMEFT exclusions, CLF phenomenology, and Quantum Gravity from Dimensional Coherence.

Unified physics & metrology All QDL papers

Program Overview

Explore the core components of the QDL research program: the structural framework, proposed experiments, formal publications, and the institute’s mission.

Framework

The 3L + 2F ledger, Quantized Dimensional Cell, scalar–tensor and gravitational structure, EFT operator filtering, and metrological interpretation of constants.

View QDL framework →

Experiments

Torsion balances, NV centers, cavity scaling, and metamaterial tests designed as falsifiable probes of QDL-driven scaling laws.

See experimental roadmap →

Publications

Structural reconstruction, prediction-filter, Quantum Gravity from Dimensional Coherence, unified SM + gravity, CLF phenomenology, SMEFT, metrology, and teaching materials.

Browse key papers →

Institute

Background on the QDL Physics Institute, affiliations, contact information, and collaboration interests.

Learn about the institute →

Experimental Program

QDL is designed to be testable. The experimental validation roadmap focuses on four complementary tabletop platforms that probe QDL-driven scaling laws in distinct physical regimes.

Validation roadmap

Falsifiable tests of a 3L + 2F ledger

The QDL Experimental Validation Protocol outlines how a conserved Quantized Dimensional Cell could leave measurable signatures in precision experiments. Each platform is designed so that standard theories and QDL give clearly distinguishable scaling behavior.

Precision torsion-balance scaling – torque and deflection vs. arm length and mass structure.
NV-center frequency-shift measurements – structured offsets in spin resonance under QDL-motivated fields.
Cavity-mode length–frequency scaling – resonance structure vs. cavity geometry in the L–F ledger.
Metamaterial dispersion-collapse tests – engineered media approximating QDC-like coherence.

Framework & Method Highlights

A framework-first path through QDL: definition → reconstruction → method → technical rigor → real-world application.

Selected core papers (framework-first)

Dimensional Closure as a National-Scale Model Validation Layer: From Dimensional Analysis to Prediction Filtering, Measurement Auditability, and Interoperable Trust
Bourassa, J. D. (2025). Zenodo.
DOI: 10.5281/zenodo.17979789
The Quantized Dimensional Ledger: A Structural Reconstruction of Dimensional Analysis and Its Role in Modern Physics
Bourassa, J. D. (2025). Zenodo.
DOI: 10.5281/zenodo.17882709
The Quantized Dimensional Ledger as a Prediction Filter for Field Content, EFT Structure, Constants, Gravity, and Precision Measurement
Bourassa, J. D. (2025). Zenodo.
DOI: 10.5281/zenodo.17848782
Ledger-Constrained Renormalization: Operator Pruning and Discrete RG Structure from Dimensional Closure
Bourassa, J. D. (2025). Zenodo.
DOI: 10.5281/zenodo.18025072
Dimensional-Closure Auditing for Engineering Models and Measurement Pipelines: A Ledger-Based Pre-Verification Method with Fusion Energy Case Studies
Bourassa, J. D. (2025). Zenodo.
DOI: 10.5281/zenodo.18025343

Additional applications, including cosmology, are presented on the Publications page.

Why QDL Matters

A concise view of how the QDL program fits into 21st-century theoretical and experimental physics.

QDL represents a unified dimensional-closure architecture for modern physics. By linking effective field theory structure, gravitation, and dimensional constants through a single conserved cell, it proposes a foundation for physical law that is explicit about its dimensional and metrological commitments.

As manuscripts enter peer-reviewed journals and experimental groups assess the proposed tests, the QDL framework becomes accessible to broader scientific scrutiny. The Institute’s goal is to make every step—from ledger construction to experimental design—transparent, auditable, and falsifiable.