Program Resources

This path gives visitors a coherent progression: canonical program roadmap → peer-reviewed metrology foundation → substrate architecture → geometric substrate keystone → completion-theorem spine → falsifiable operator audit → numerical mass-spectrum application.

The current QDL program capstone is Planck-Scale Fluctuation Closure as the Substrate Interpretation of the Quantized Dimensional Ledger: A QDL Capstone on Physical Persistence, Compton–Gravity Thresholds, Mass-Ratio Closure, Vacuum Filtering, and EFT Audits .

This record defines QDL as a residual-first closure-admissibility theory of physical persistence. The substrate is not treated as a mechanical medium, classical aether, or hidden substance; it is defined as the closure-persistent residue of candidate Planck-scale fluctuation structure.

This capstone serves as the organizing reference for the broader QDL program. The Core Closure Sequence supplies the technical records, while the capstone supplies the shared identity, claim-status discipline, substrate interpretation, and audit logic.

The canonical QDL geometric substrate-mode record is Bourassa, J. D. (2026). The Toroidal QDC Knot: A Closure-Stable Geometric Substrate Mode for the Quantized Dimensional Ledger (v1.0). Zenodo. https://doi.org/10.5281/zenodo.20367493 .

This paper extends the substrate capstone by proposing a compact geometric persistence object: a toroidal QDC knot with QDC_T = V_Tω₁ω₂ ∼ L³F².

Its closure sequence is T_n,m → QDC_T → Γ_T(T) → C^T_QDL = 0 → R^T_QDL. Conditional links include three-family recurrence, the charged-lepton phase θ_ℓ = 2/9, Koide occupancy-amplitude closure, vacuum residual selection, gauge-sector admissibility, non-SM exclusion, the Compton–gravity threshold, and a candidate toroidal QDC Hilbert space.

Scope note: this is a conditional geometric substrate hypothesis. It does not claim a completed derivation of the Standard Model, a full quantum gravity theory, a numerical derivation of the cosmological constant, or a final solution to dark matter, inflation, black-hole microstates, or time.

The current QDL completion-theorem spine is Bourassa, J. D. (2026). The QDC Completion Theorem: Matter-Basis Minimality, Three-Family Automorphism, Charged-Lepton Closure, and Gravitational Recurrence in the Quantized Dimensional Ledger (v1.0). Zenodo. https://doi.org/10.5281/zenodo.20692677 .

This record consolidates the route from the Planck-scale toroidal QDC substrate to local Standard-Model admissibility and gravitational recurrence. It organizes QDL around exact anchors, conditional reconstruction gates, and explicit remaining proof targets.

Scope note: the theorem does not claim that every Standard Model constant has been computed. It identifies the finite gates that must close for QDL to become a candidate substrate-level completion theory: matter-basis minimality, primitive three-family recurrence, charged-lepton phase closure, mass-scale completion, gauge-coupling normalization, an action principle, gravity recovery, dark-sector residuals, and cosmological residuals.

The QDL SMEFT Γ(O) Audit Companion v1.0 is a machine-readable dataset and technical companion to the QDL substrate capstone: Bourassa, J. D. (2026). QDL SMEFT Γ(O) Audit Companion v1.0: A Representative Source-Anchored Subset for Closure-Vector Classification of Warsaw-Basis Operator Mixing (v1.0) [Data set]. Zenodo. https://doi.org/10.5281/zenodo.20357001 .

The package includes representative Warsaw-basis operator assignments, exact/source-anchored audit rows, row-level extraction scaffolds, strict-zero and compensator targets, a verification taxonomy, data dictionary, changelog, sources table, README, workbook, and package ZIP.

Scope note: this v1.0 record is a representative source-anchored audit subset and scaffold. It does not claim completion of the full 2499 × 2499 three-generation SMEFT anomalous-dimension matrix, and it asserts no confirmed R-class violations.

A current synthesis record is QDL Charged-Lepton Mass Spectrum: A Synthesis of Derived Structure and Phenomenological Radial Closure .

The mass-spectrum sequence develops occupancy-amplitude closure, Koide charged-lepton geometry, relational phase quantization, and charged-lepton mass-ratio reconstruction.

This sequence is best read after the substrate capstone, Toroidal QDC Knot, and QDC Completion Theorem. The completion theorem identifies the charged-lepton phase, radial scale, quark, neutrino, CKM/PMNS, and gauge-coupling tasks as explicit open or conditional gates.

The Core Closure Sequence is the central technical access route for the QDL program. It organizes the work around a roadmap and claim hierarchy, numerical ledger checks, technical pillars, residual tests, neutral matching, Compton realization, gravitational QDC recovery, and completion-gate structure.

The earlier lattice, closure-formalism, SMEFT, metrology, and book records remain important, but they are now best read as foundational background to the broader closure-sequence architecture, substrate-capstone interpretation, toroidal geometric keystone, and QDC Completion Theorem.

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 physical 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.

The QDL Measurement Integrity Engine is an early executable-infrastructure concept for applying structural admissibility checks to physical measurement and modeling pipelines.

The engine is designed to receive a declared measurement or model specification, assign integer-valued ledger vectors to its components, check ordinary projected dimensional homogeneity, apply a QDL closure or admissibility rule, and generate an audit trace with a certification, warning, rejection, or repair recommendation.

The motivating use case is measurement integrity: a model may pass ordinary unit checking while still containing a structurally non-admissible correction, transformation, or hidden dimensionless factor. QDL executable infrastructure is being developed to make such failures auditable.

Status: Prototype direction disclosed in U.S. Provisional Patent Application No. 64/055,985; patent pending.

A QDL gravitational dynamics 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.

This paper provides a concrete physical anchor for QDL closure: the QDC is not merely an abstract dimensional form, but appears in the standard structure of orbital mechanics.

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

The SMEFT Γ(O) audit companion provides the first source-anchored dataset for applying QDL closure-vector classification to representative Warsaw-basis SMEFT operator-mixing rows.

Bourassa, J. D. (2026). QDL SMEFT Γ(O) Audit Companion v1.0: A Representative Source-Anchored Subset for Closure-Vector Classification of Warsaw-Basis Operator Mixing (v1.0) [Data set]. Zenodo. https://doi.org/10.5281/zenodo.20357001

DOI-backed executable benchmark sequence for the QDL–SO10–1 grand-unification branch. The series includes benchmark definition, low-energy phenomenology, stress testing, gauge-running hardening, scalar-threshold closure, proton-decay exposure, flavor/leptogenesis hardening, and integrated capstone synthesis.

This series is presented as a benchmark-level GUT program rather than a final theory of nature. Its purpose is to make QDL-based unification claims auditable, reproducible, and explicitly falsifiable.

Capstone record: Executable Closure of the QDL–SO10–1 Benchmark

Recommended reading order: start with the current seven-anchor hierarchy, then read the QDL–SO10–1 capstone Paper #9 for the integrated map, Papers #5–#8 for the executable hardening details, and finally Papers #1–#3 for the original benchmark, phenomenology, and stress-test sequence.