Independent theoretical physics research program

The Quantized Dimensional Ledger

Standard dimensional analysis tests consistency, but it does not by itself determine whether a physical representation is structurally admissible. The QDL Physics Institute investigates whether dimensional closure can serve as an additional admissibility constraint on fields, operators, constants, and measurement relations before phenomenological fitting or deployment. The Quantized Dimensional Ledger (QDL) is the proposed framework for expressing that constraint in a 3L + 2F lattice basis.

3L + 2F dimensional basis Quantized Dimensional Cell Structural admissibility Prediction filtering Falsifiable tests
Quantized Dimensional Ledger framework overview

Quantized Dimensional Ledger (QDL). Dimensional quantities map to integer vectors of dimensional exponents via the ledger map Φ : Q → Zn. A conserved Quantized Dimensional Cell (QDC = L3F2) defines a closure condition that partitions operator space into structurally admissible and inadmissible combinations.

Explore the Research Program Read the Papers View Supporting Resources
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, 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.

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 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.

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, 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 and experimental benchmark studies.

For collaboration inquiries or discussion of potential support, please contact [email protected].