Quantized Dimensional Ledger (QDL)
The Quantized Dimensional Ledger (QDL) is a proposed structural framework for dimensional admissibility in physics. Physical quantities are represented in a 3L + 2F ledger basis, and admissible constructions are tested for closure relative to a distinguished Quantized Dimensional Cell.
Scope & limits (read this first):
QDL is not a replacement for quantum field theory, general relativity, or effective field theory. It proposes a structural constraint layer that can be tested through basis-invariance checks, scaling behavior, and closure consistency on declared model families. If empirically successful models systematically violate ledger closure under declared transforms, the closure postulate is falsified.
Intended role: a constraint layer on admissible representations — not a claim of new particles, forces, or dynamics.
The formal framework definition is presented in the Zenodo record below, independent of any single application area.
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
Location: Huntley, Illinois, USA · Focus: dimensional closure, ledger geometry, structural admissibility, precision metrology, and falsifiable tabletop tests.
Publishing updates
Peer-reviewed acceptances and citable records. Journal versions are listed as “in press” until officially published.
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The Quantized Dimensional Ledger for Metrology: Dimensional Closure, QMU Ledgers, and the Ontology of Physical Constants
Accepted · Journal of Theoretical and Applied PhysicsAccepted In press (publisher DOI pending)
Note: Journal links/DOIs will be added here immediately upon publication. Until then, these entries reflect official acceptance notifications.
Book
The reader-first book version of the QDL framework is available now, with a separate technical appendix for computation and verification.
The book presents the conceptual architecture of QDL, while the technical appendix provides equations, ledger reductions, and worked examples. For technically trained readers, the Technical Appendix (PDF) supplies core equations, ledger reductions, and worked examples. The book is available in both Kindle and paperback formats; all technical verification materials remain openly accessible.
Amazon (Kindle & paperback):
Amazon listing
(ASIN: B0GHZJHT36)
Technical Appendix (PDF):
Download / view
If you’re approaching QDL for the first time as an editor/referee, the canonical framework definition remains the Zenodo record linked above.
Program Overview
Explore the core components of the QDL research program: the structural framework, proposed tests, formal publications, and the institute’s mission.
Dimensional Admissibility & Measurement Integrity
A framework-independent, standards-ready audit layer for model-driven energy and infrastructure systems.
This work grew out of the QDL research program but is framed independently of QDL’s broader physical claims. It extracts a general falsifiable principle—dimensional admissibility—and translates it into an audit layer for model-driven energy and infrastructure systems.
Reference (v1.0):
Bourassa, J. D. (2026). Dimensional Admissibility and Measurement Integrity as National Standards for Model-Driven Energy and Infrastructure Systems (v1.0). Zenodo.
This standards framing is intentionally independent of QDL’s broader theoretical program. Its purpose is to make representational invariance testable, reportable, and auditable across real-world optimization and planning pipelines.
Latest Results
Three executed, reproducible residual-first benchmarks using public-data domains relevant to measurement and model validation.
Residual-first benchmarking treats coherent residual structure as the primary model-adequacy diagnostic under declared model families and a stated parameter budget. These records are designed for straightforward external replication. No new physical effects are claimed; the contribution is methodological.
- Optical cavity benchmark (v1.0): 10.5281/zenodo.18076864
- NV-center ODMR benchmark (v1.0): 10.5281/zenodo.18069870
- Benchmarks & null tests (v1.0): 10.5281/zenodo.18057668
Full benchmark summaries, replication materials, and the broader validation roadmap are on the Experiments page — and the one-click hub is on Publications → Phenomenology & Experiments.
Experimental Program
QDL is designed to be testable. The experimental validation roadmap focuses on four complementary tabletop platforms that probe QDL-driven scaling and closure claims in distinct physical regimes.
Each platform is framed as a declared test of whether ledger-style closure adds reproducible constraints beyond conventional dimensional bookkeeping under specified transforms and parameter budgets.
- 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.
Core Papers
A minimal reading path through the formal framework, lattice structure, SMEFT application, metrology, and the book.
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Integer Lattice Structure of Dimensional Quantities: The Algebraic Structure of the Quantized Dimensional Ledger
2026-03-11 · Preprint · DOI: 10.5281/zenodo.18970320
Algebraic foundation of the ledger lattice and closure subgroup. -
The Quantized Dimensional Ledger: A Lattice Structure for Dimensional Closure in Physical Theories
2026-03-12 · Preprint · DOI: 10.5281/zenodo.18981850
Formal lattice formulation of dimensional closure and closure decomposition. -
Ledger-Closure Constraints on the SMEFT: A Lattice-Theoretic Derivation of Operator Exclusions and Wilson-Coefficient Relations
2025-12-01 · Preprint · DOI: 10.5281/zenodo.17780443
SMEFT application introducing lattice-based operator exclusions and Wilson-coefficient relations. -
The Quantized Dimensional Ledger for Metrology: Dimensional Closure, QMU Ledgers, and the Ontology of Physical Constants
2025-11-15 · Preprint · DOI: 10.5281/zenodo.17619526
Metrology and dimensional ontology application. -
The Quantized Dimensional Ledger: A Structural Framework for Dimensional Coherence in Physics
2026-03-07 · Book · DOI: 10.5281/zenodo.18902770
Reader-facing book overview of the conceptual program.
Additional records and application papers are listed on the Publications page and Zenodo archive.
Why This Framework May Matter
A concise view of how the QDL program fits into contemporary theoretical and experimental physics.
QDL proposes a dimensional-closure framework intended to complement, not replace, established physical theories. Its central question is whether dimensional closure can function as a reproducible admissibility constraint on representations before dynamics or phenomenology are specified.
If this framework proves robust across relevant model classes and survives experimental and theoretical scrutiny, it could strengthen dimensional reasoning from a consistency check into a more explicit structural filter.