Quantized Dimensional Ledger for Unified Physics
The Quantized Dimensional Ledger (QDL) is a structural framework built on a minimal two-basis dimensional system—Length (L) and Frequency (F)—organized by a conserved geometric object known as the Quantized Dimensional Cell (QDC). A conserved cell of 3L + 2F imposes dimensional-closure rules on fields, couplings, operators, and constant combinations, turning dimensional analysis into a prediction filter for effective field theories, gravity sectors, and precision metrology.
Location: Huntley, Illinois, USA · Focus: dimensional closure, ledger geometry, EFT structure, gravity, precision metrology, and falsifiable tabletop tests.
Program Overview
Explore the core components of the QDL research program: the structural framework, proposed experiments, formal publications, and the institute’s mission.
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.
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.
Top 5 QDL Papers
These papers define the core of the QDL program: structural reconstruction, unified SM + gravity closure, SMEFT lattice constraints, CLF phenomenology, and minimum-length ledger geometry.
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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 -
Quantized Dimensional Ledger as a Unified Dimensional Closure Framework for the Standard Model and Gravity
Bourassa, J. D. (2025). Zenodo.
DOI: 10.5281/zenodo.17742903 -
Ledger-Closure Constraints on the SMEFT: A Lattice-Theoretic Derivation of Operator Exclusions and Wilson-Coefficient Relations
Bourassa, J. D. (2025). Zenodo.
DOI: 10.5281/zenodo.17780443 -
Coherent Ledger Fields: From SO(3,2) Dimensional Cells to a Unified Scalar–Tensor–Electromagnetic Phenomenology
Bourassa, J. D. (2025). Zenodo.
DOI: 10.5281/zenodo.17803804 -
Quantum Gravity from Dimensional Coherence: Minimum-Length Geometry from the Quantized Dimensional Ledger
Bourassa, J. D. (2025). Zenodo.
DOI: 10.5281/zenodo.17848573
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.