Independent theoretical physics research program

The Quantized Dimensional Ledger: A Structural Admissibility Framework for Physics

QDL introduces a prior structural question before model fitting or dynamical elaboration: should a proposed physical expression exist at all?

Standard dimensional analysis checks consistency. QDL investigates whether physically admissible representations must remain closed under repeated composition.

3L + 2F dimensional basis Quantized Dimensional Cell Structural admissibility Prediction filtering Falsifiable tests
Understanding QDL diagram showing dimensional analysis as spellcheck and QDL as a structural admissibility filter
First-pass intuition. Dimensional analysis checks whether units are consistent. QDL asks a stronger question: whether a proposed construction is structurally admissible under closure. In this framing, dimensional quantities are represented as vectors, combined, and tested against an allowed lattice structure.

Why closure? Physical models are not evaluated once—they are composed, iterated, renormalized, and measured through chains of transformations. Standard dimensional analysis ensures consistency at a single step but does not guarantee stability under repeated composition. The QDL framework investigates whether physically admissible representations must instead form a closed structure under iteration. The 3L + 2F lattice is proposed as the minimal basis in which such closure can be defined and tested. The framework is developed across effective field theory, cosmology, metrology, and measurement theory, with explicit falsifiability conditions.

Explore the Research Program Read the Papers Try the QDL Calculator View Supporting Resources
Program Milestone

April 2026: The QDL–SO10–1 executable grand-unification benchmark sequence is now complete. The nine-paper series advances the benchmark from an initial SO(10)-compatible proposal to an executable, scalar-hardened, proton-decay-exposed, flavor-tested, leptogenesis-viable closure package.

The capstone paper is: Bourassa, J. D. (2026). Executable Closure of the QDL–SO10–1 Benchmark: Integrated Gauge Running, Scalar Thresholds, Proton Decay, Flavor, Leptogenesis, and Historical Positioning. Zenodo. https://doi.org/10.5281/zenodo.19830816

This sequence is presented as a benchmark-level grand-unification program, not as a final theory of nature. Its purpose is to make QDL-based unification claims auditable, reproducible, and explicitly falsifiable.

Program Milestone

April 2026: The Quantized Dimensional Ledger for Metrology: Dimensional Closure, QMU Ledgers, and the Ontology of Physical Constants is now published in the Journal of Theoretical and Applied Physics: Bourassa, J. D. (2026). The Quantized Dimensional Ledger for Metrology: Dimensional Closure, QMU Ledgers, and the Ontology of Physical Constants. Journal of Theoretical and Applied Physics, 20(3). https://doi.org/10.57647/jtap.2026.2004.05

This marks the first peer-reviewed journal publication for the QDL research program and establishes a formal publication anchor for the framework’s metrology application.

Program Milestone

May 2026: QDL Physics Institute has filed U.S. Provisional Patent Application No. 64/055,985, titled Systems and Methods for Structural Admissibility Validation of Physical Measurement and Modeling Pipelines.

This filing marks the executable infrastructure phase of QDL: applying structural admissibility as a machine-executable validation layer for measurement, modeling, simulation, uncertainty analysis, AI-generated scientific outputs, sensor fusion, digital twins, and related technical workflows.

The purpose is practical rather than speculative: to test whether QDL-style ledger mapping, closure checks, audit traces, and downstream workflow controls can identify structural failures that ordinary unit checking or dimensional homogeneity may not detect.

Status: U.S. provisional patent application filed; patent pending.

Research Update

May 2026: A new QDL gravitational dynamics paper has been released: Bourassa, J. D. (2026). The Quantized Dimensional Cell in Gravitational Dynamics: GM, Keplerian Closure, and Dimensional Admissibility. Zenodo. https://doi.org/10.5281/zenodo.20026718

This paper identifies the gravitational parameter μ = GM as a direct realization of the Quantized Dimensional Cell form, L3F2, and interprets Keplerian closure as μ = r3ω2 for circular motion and μ = a3n2 for elliptical Keplerian motion.

The result complements the patent-pending executable infrastructure track by showing how QDL closure concepts continue to organize concrete physical domains while the program also develops practical validation tools.

From Concept to Consequence

What Changes When You Apply QDL

A second-pass view: from open-ended model building to constrained, testable structure.

Diagram showing QDL as an admissibility filter that reduces model space, finite operators, and falsifiable outcomes
QDL is proposed as an admissibility layer applied prior to unconstrained model proliferation. The aim is not to replace dynamics, but to narrow the space of admissible representations before detailed fitting begins.

Core takeaway: QDL reduces the space of admissible physical models before data is ever considered.

Core Consequences
Reduced model space. QDL is intended to filter representations before parameter fitting, reducing open-ended freedom at the structural level.
Finite operator logic. In the QDL program, operator towers are not merely truncated for convenience; drifting families are treated as structurally inadmissible.
Restricted coupling forms. Couplings are investigated under closure as finite spectral structures rather than arbitrary analytic freedom.
Cross-domain coherence. The same admissibility logic is explored across EFT, metrology, cosmology, and measurement theory.
Built-in falsifiability. If stable, physically necessary structures require persistent non-closure, the framework fails.
Current Research Status

The QDL research program is currently focused on:

  • Peer-reviewed publication of the integer-lattice structure underlying dimensional quantities.
  • Development of dimensional-closure constraints for effective field theory operator bases.
  • Residual-first benchmark comparisons using publicly available experimental datasets.
  • Design of falsifiable laboratory tests probing dimensional-closure scaling relations.
  • Development of executable structural-admissibility infrastructure for measurement, modeling, simulation, AI scientific-output validation, sensor fusion, and digital-twin workflows.

Program status: Active research, executable infrastructure development, and manuscript submissions in progress (2026).

Three Layers of the QDL Program
Framework layer. QDL develops dimensional closure, structural admissibility, the 3L + 2F ledger architecture, the Quantized Dimensional Cell, and formal admissibility rules.
Scientific application layer. QDL applies the framework to metrology, physical constants, effective field theory, operator filtering, representation governance, model adequacy, GUT admissibility, nuclear binding, gravitational dynamics, and related domains.
Executable infrastructure layer. QDL implements admissibility as machine-executable validation infrastructure, including calculators, admissibility engines, measurement validators, AI scientific-output guardrails, software analyzers, digital-twin checkers, and sensor-fusion filters.

U.S. Provisional Patent Application No. 64/055,985, Systems and Methods for Structural Admissibility Validation of Physical Measurement and Modeling Pipelines, was filed in May 2026 to protect the executable infrastructure direction while the scientific framework remains publicly documented through DOI-backed research records.

QDL Physics Institute

The QDL Physics Institute is an independent research program based in Huntley, Illinois, USA, focused on the development and testing of the Quantized Dimensional Ledger (QDL) framework for dimensional closure, model admissibility, and experimental discrimination.

Research areas: dimensional structure of physical quantities, effective field theory constraints, dimensional closure in metrology, model integrity, executable validation infrastructure, and falsifiable tabletop experiments.

Director: James D. Bourassa   |   ORCID: 0009-0008-0155-0051

For Editors and Referees

The fastest way to evaluate the QDL program is the following sequence:

  1. Integer Lattice Structure of Dimensional Quantities
  2. The Quantized Dimensional Ledger: A Lattice Structure for Dimensional Closure in Physical Theories
  3. Ledger-Closure Constraints on the SMEFT
  4. Executed Benchmark Records

The QDL framework is intended as a dimensional admissibility constraint layer, not a replacement for established physical dynamics.

Research Snapshot

Three entry points into the program: formal structure, technical record, and practical support materials.

Research Program

A consolidated overview of the QDL framework, dimensional lattice structure, model admissibility, and experimental logic.

Publications

Core papers, benchmark records, and application papers organized in a framework-first sequence for technical readers.

Resources

Prototype demonstrations, books, benchmark access points, and orientation material that support review and navigation.

Interactive QDL Tool

A live entry point for testing structural admissibility under declared closure rules.

QDL Admissibility Calculator

Test declared vectors against canonical closure rules, explore admissible and inadmissible configurations, and use the built-in SMEFT ℤ₆, dimensional-failure, and metrology examples.

The calculator provides a live demonstration layer for the QDL framework and a compact report-ready summary of each result.

Latest Program Updates

Recent publications, benchmarks, and program milestones.

Foundational Papers

The shortest technical path into the QDL program.

Integer Lattice Structure of Dimensional Quantities
Lattice foundation · DOI-backed preprint
The Quantized Dimensional Ledger: A Lattice Structure for Dimensional Closure in Physical Theories
Closure formalism · DOI-backed preprint
Ledger-Closure Constraints on the SMEFT
SMEFT application · DOI-backed preprint
How to Read the Site

Start with the Research Program page for the conceptual structure, then move to Publications for the technical record. Use the QDL Calculator for a live demonstration of structural admissibility, and Resources for books, prototypes, and benchmark access.

This structure is meant to make the site read like a coherent research institute rather than a collection of separate project pages.

Research Goals

Near-term objectives of the Quantized Dimensional Ledger research program.

  • Formal development of dimensional closure as a structural admissibility constraint on physical representations.
  • Investigation of consequences for operator structure in effective field theories and related frameworks.
  • Development of benchmark methodologies for transparent model adequacy testing using public datasets.
  • Design of falsifiable tabletop experiments capable of distinguishing dimensional-closure predictions from conventional parameterizations.
  • Development of executable QDL validation tools for physical measurement, modeling, uncertainty analysis, AI scientific-output checking, sensor fusion, and digital-twin workflows.

Citable Program Record

Archival records and DOI-backed materials for the Quantized Dimensional Ledger research program.

The QDL research program maintains a DOI-backed archival record through the Zenodo repository. Core manuscripts, benchmark records, and supporting materials are preserved as citable research artifacts.

Maintaining DOI-backed program records supports long-term citation, reproducibility, and accessibility of the QDL research program.

Collaboration & Support

The QDL Physics Institute welcomes collaboration with researchers, experimental groups, and institutions interested in dimensional structure, measurement integrity, executable validation infrastructure, or falsifiable tests of the Quantized Dimensional Ledger framework.

The program also welcomes philanthropic or institutional support that enables continued development of open, DOI-backed research records, executable validation tools, and experimental benchmark studies.

For collaboration inquiries or discussion of potential support, please contact james.bourassa@qdlphysics.org.