This page collects supporting materials for the QDL research program: the three-part QDL Visual Guide, public introductions, formal framework links, experiment and benchmark access, the flagship monograph, canonical roadmap, peer-reviewed metrology foundation, QDL substrate capstone, Toroidal QDC Knot, QDC Completion Theorem, SMEFT Γ(O) audit companion, charged-lepton sequence, calculator, graphics, books, and executable validation infrastructure.
Use this page as the practical support layer. The homepage gives the public overview, the Research Program page gives the technical hub, Framework gives definitions and falsification criteria, Experiments gives executed and proposed empirical work, and Publications gives the full DOI record.
The most useful resource links for first-time visitors, reviewers, and collaborators.
Start with structural admissibility, continue to the Planck-scale worldview, and finish with the L³F² evidence chain.
Equation-light orientation to the QDL Lattice picture, closure-persistent recurrence, and claim-status discipline.
Ledger basis, closure predicate, declared transforms, definition/postulate/application separation, and failure modes.
Executed residual-first benchmarks and proposed discriminant experiments with pre-stated failure conditions.
Interactive structural-admissibility examples, worked vectors, and closure checks.
The permanent three-part visual library, ordered from method to worldview to evidentiary argument.
Begin with the method: declare the basis, target, allowed transforms, and scope; convert a real construction into a ledger vector; then compare admissible and non-admissible examples.
Move from the structural screen to the intuitive physical picture: QDC cells, localized modes, composite structures, fields, interactions, and effective geometry.
Follow the physics-facing evidentiary chain from measured gravitational structure through L³F², compact recurrence, the toroidal QDC, conditional Standard-Model structure, and open failure gates.
The simplified public explanation and visual entry point.
QDL models space not as absolute emptiness, but as a closure-compatible QDL Lattice of recurrence. Persistent particles are localized closure modes of that same structure. Composite particles are confined multi-channel modes. At larger scales, collective closure stress is investigated as a possible route to effective geometric response.
Claim-status note: this is the QDL substrate interpretation and research architecture. It is not a claim that microscopic QDL lattice cells have already been directly observed, or that spacetime, spin, gravity, and the full particle spectrum have already been completely derived.
The current entry hierarchy for evaluating the QDL program coherently.
Three-part visual entry. Structural admissibility first, conceptual QDL/QDC worldview second, and the L³F² evidence-to-worldview argument third.
Equation-light public orientation. Introduces the QDL Lattice picture, closure-persistent recurrence, structural admissibility, predictive compression, and claim-status discipline before the reader enters the technical paper sequence.
Defining synthesis. Physical Law as the Minimal Architecture of Persistence Under Closure gives the full conceptual synthesis: predictive compression, closure ontology, QDL/QDC construction, spin-2 obstruction, no-fit boundaries, and the vacuum-energy theorem target.
Canonical orientation record. Consolidates QDL from closure admissibility to physical selection and explains the program layers, claim-status firewalls, failure modes, and near-term validation paths.
First peer-reviewed foundation. Establishes QDL in metrology through dimensional closure, QMU ledgers, and the ontology of physical constants.
QDL substrate architecture. Defines the substrate as the closure-persistent residue of candidate Planck-scale fluctuation structure, not a medium, material aether, or hidden substance.
Geometric substrate keystone. Gives the QDL substrate a compact closure object: a toroidal two-cycle recurrence mode realizing QDCT = VTω1ω2 ∼ L3F2.
Completion-theorem spine. Organizes the path from Planck-scale toroidal QDC closure to Standard-Model admissibility, matter-basis minimality, primitive three-family recurrence, charged-lepton closure, gravitational recurrence, and explicitly declared remaining proof gates.
Falsifiable operator-governance test. Provides a representative source-anchored, machine-readable audit subset for closure-vector classification of Warsaw-basis SMEFT operator mixing.
Numerical spectrum application. Develops QDL occupancy-amplitude closure, Koide charged-lepton geometry, the relational phase θℓ = 2/9, and charged-lepton mass-ratio reconstruction.
This path gives visitors a coherent progression: simple QDL Lattice orientation, flagship synthesis, roadmap, peer-reviewed metrology foundation, substrate architecture, geometric substrate keystone, completion-theorem spine, falsifiable operator audit, and numerical mass-spectrum application.
The defining synthesis for the current QDL research program.
The flagship synthesis is Physical Law as the Minimal Architecture of Persistence Under Closure: Predictive Compression, Ontological Unification, and the Vacuum-Energy Problem .
The monograph states the program's broadest thesis: physical law may be understood as the minimal architecture required for physical persistence under closure. It is the top-level conceptual and methodological synthesis beneath which the roadmap, substrate capstone, Toroidal QDC Knot, QDC Completion Theorem, SMEFT audit, and charged-lepton sequence should now be read.
Scope note: the monograph is openly archived and non-peer-reviewed. It separates strict theorems, conditional reconstructions, restricted minimality theorems, constrained branches, and open numerical or dynamical targets.
The program-level reference for QDL as a closure-admissibility theory of physical persistence.
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 geometric substrate-mode keystone for the QDL program.
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 QDCT = VTω1ω2 ∼ L3F2.
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 completion-theorem spine connecting the toroidal QDC substrate to Standard-Model admissibility and open proof gates.
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.
The machine-readable technical companion dataset to the QDL substrate capstone.
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.
The numerical spectrum application layer of the QDL program.
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 primary pathway into the QDL technical record.
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.
Use Publications to follow the current hierarchy, Core Closure Sequence, technical pillars, closure grammar papers, benchmark records, and earlier foundational path.
Use Research Program for the conceptual architecture: Framework, Experiments, QDL Lattice, reading path, completion spine, and claim-status map.
Use the QDL Admissibility Calculator to test declared vectors against closure rules and inspect live examples.
QDL as machine-executable validation infrastructure for physical measurement and modeling workflows.
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 static example of how structural admissibility screening can be presented as a workflow.
This resource presents a minimal static demonstration of how a model or pipeline can be screened for structural admissibility before calibration and deployment. It is framed as an illustration of workflow, not as a full implementation.
The live interactive version of this idea now appears in the QDL Admissibility Calculator, while this prototype remains useful as a presentation-oriented workflow artifact.
The demo belongs naturally under framework support material rather than the top-level scientific navigation, which is why it is placed here in Resources.
Longer-form synthesis and reader-oriented entry points for the broader program.
This volume functions as a synthetic and accessible presentation of the QDL program, while the formal, canonical claims remain anchored in the DOI-backed paper record.
Useful for readers who want the overall architecture and motivation of the program before moving into the technical papers.
The formal mathematical structure and strongest technical claims remain in the DOI-backed papers, datasets, and preprints.
Use QDL in 5 Minutes, the flagship monograph, and the current reading path first. The book remains useful as orientation, but the current canonical program path runs through the roadmap, JTAP foundation, substrate capstone, Toroidal QDC Knot, QDC Completion Theorem, SMEFT audit companion, and mass-spectrum sequence.
Application-layer records that ground QDL concepts in concrete physical domains.
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.
The Compton realization paper connects quantized dimensional closure to localization-frequency structure and operator sector selection.
The neutral matching paper develops a 1/18 uniqueness theorem from binary–ternary sector coupling, Z6 operator grading, and electroweak residual preservation.
This synthesis separates strong claims, open residuals, falsification tests, and the emergence of a compact QDL closure grammar.
Entry points to executed benchmark records and supporting methodological materials.
Residual-first benchmark methodology using declared model families and public-data audit logic.
Reproducible benchmark record structured around methodological auditability rather than claims of new effects.
Optical cavity benchmark record intended to be read conservatively as a method-oriented executable benchmark.
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
These records are best understood as benchmark and replication resources. They are methodological records designed for auditability and replication, not standalone claims of new physical effects.
Resource-like content that supports interpretation, orientation, and broader use of the program.
QDL is framed as a dimensional-closure and model-admissibility architecture with implications for model pre-verification, operator filtering, constants, experiment design, metrology, measurement-chain integrity, engineering workflows, and instrumentation.
The Benefits page separates public-facing value from formal research claims.
Institute background, mission, founder information, ORCID, location, and contact details are collected on the Institute page.
Direct contact: james.bourassa@qdlphysics.org