QDL Research Program: Framework, Experiments, and Completion Spine
This page is the main research hub for QDL. It connects the formal Framework page, the Experiments page, the flagship monograph, the peer-reviewed metrology foundation, the QDC Completion Theorem, the SMEFT audit, and the executable benchmark record.
The program is organized around a closure-first hierarchy: definitions and postulates are separated from applications; executed benchmarks are separated from proposed discriminant tests; and strict results, conditional reconstructions, open proof gates, and speculative extensions are kept in distinct claim-status categories.
Use this page as the reviewer/editor path: begin with Framework for definitions and falsification criteria, move to Experiments for executed and proposed tests, then follow the reading path into the flagship synthesis and technical record.
Research Hub
The three fastest entry points for evaluating the program.
Framework
Formal ledger basis, closure predicate, declared transforms, definition/postulate/application separation, and explicit failure modes.
Best first page for reviewers asking: “What exactly is being claimed?”
Experiments
Track A residual-first benchmark records and Track B proposed discriminant tests with pre-stated failure conditions.
Best first page for visitors asking: “What has been tested, and what would falsify it?”
Publications
Peer-reviewed JTAP foundation, Zenodo records, flagship monograph, benchmark packages, submitted manuscripts, and supporting datasets.
Best first page for editors checking the public record.
Visual Pathway into the Research Program
A compact route from the admissibility method to the physical picture and its evidence chain.
Structural admissibility → QDL/QDC worldview → L³F² evidence chain → framework and experiments
The animations are not interchangeable. The first explains the method, the second presents the conceptual substrate interpretation, and the third gives the physics-facing argument with explicit claim-status and failure gates.
Claim-Status Map
A compact guide to what is established, conditional, proposed, or open.
| Defined framework | The QDL ledger basis, closure predicate, declared transforms, and QDC target are framework definitions and postulates. See Framework. |
| Peer-reviewed anchor | The metrology layer has a first peer-reviewed foundation in the JTAP dimensional-closure article. |
| Executed benchmarks | Track A benchmark records are reproducible, residual-first methodological tests and do not claim new physical effects. See Experiments. |
| Conditional reconstructions | Standard-Model, family, charged-lepton, SMEFT, and geometry branches are evaluated under declared closure assumptions and proof gates. |
| Proposed discriminants | Track B laboratory tests remain proposed until independently executed by outside groups. |
| Open completion gates | Absolute masses, gauge couplings, quark and neutrino sectors, CKM/PMNS structure, action principle, gravity recovery, dark-sector residuals, and cosmology remain open or conditional. |
The research program begins from a simple substrate interpretation: space is not treated as absolute emptiness. It is modeled as a closure-compatible QDL Lattice whose organized recurrence supplies the effective relational properties associated with physical space.
Persistent particles are then localized closure modes of that same structure. An electron-like mode is a single-core toroidal recurrence. A proton-like mode is a triadic confined recurrence whose trefoil-like morphology represents three coupled closure channels. 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 observed, or that spacetime, spin, gravity, and the full particle spectrum have already been completely derived.
Physical Law as the Minimal Architecture of Persistence Under Closure
The monograph states the program's broadest thesis: physical law may be understood as the minimal architecture required for physical persistence under closure. It develops predictive compression as the standard for evaluating whether a reduced structure actually explains, determines, or excludes something not separately inserted.
The technical cases include restricted matter-and-hypercharge selection, primitive three-family recurrence, ordered-pair charged-lepton phase structure, compact-phase interaction selection, and a negative spin-2 result: isotropic contact geometry and a common Lorentzian-looking cone do not by themselves produce gravitational gauge dynamics when the sixteen-component coframe velocity Hessian is full rank.
The monograph is openly archived and non-peer-reviewed. It separates strict results, conditional reconstructions, restricted minimality theorems, constrained branches, and open numerical or dynamical targets.
Recommended Reading Path
The current eight-anchor hierarchy for evaluating QDL coherently.
Flagship Monograph
Defining synthesis. Predictive compression, closure ontology, QDL/QDC construction, matter and family selection, charged-lepton phase structure, compact-phase locking, spin-2 obstruction, and the vacuum-energy theorem target.
QDL Roadmap / Program Architecture
Navigation record. Consolidates QDL from closure admissibility to physical selection and explains program layers, claim-status firewalls, failure modes, and validation paths.
JTAP Metrology Paper
First peer-reviewed foundation. Establishes QDL in metrology through dimensional closure, QMU ledgers, and the ontology of physical constants.
Planck-Scale Substrate Capstone
Substrate architecture. Defines the substrate as closure-persistent residue of candidate Planck-scale fluctuation structure, not as a medium, material aether, or hidden substance.
Toroidal QDC Knot
Geometric substrate keystone. Gives the substrate a compact closure object: a toroidal two-cycle recurrence mode realizing QDCT = VTω1ω2 ∼ L3F2.
QDC Completion Theorem
Completion-theorem spine. Organizes QDL from Planck-scale toroidal closure to Standard-Model admissibility, matter-basis minimality, primitive three-family recurrence, charged-lepton closure, gravitational recurrence, and declared open proof gates.
SMEFT Γ(O) Audit Companion
Falsifiable operator-governance test. A representative source-anchored, machine-readable audit subset for closure-vector classification of Warsaw-basis SMEFT operator mixing.
Charged-Lepton / Mass-Spectrum Sequence
Numerical spectrum application. Develops 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: flagship synthesis → roadmap → peer-reviewed metrology foundation → substrate architecture → geometric substrate keystone → completion-theorem spine → falsifiable operator audit → numerical mass-spectrum application.
Predictive Compression and Claim-Status Discipline
The methodological core of the flagship monograph.
Predictive Compression
QDL does not gain force merely by renaming several phenomena as closure. A reduced structure has scientific weight only if it determines something not separately inserted, generates linked consequences from one declared input, or excludes otherwise viable alternatives.
In the monograph, this standard is applied to matter/hypercharge structure, family recurrence, charged-lepton phase domains, compact-phase locking, spin-2 obstruction, and vacuum-source residuals.
Claim-Status Firewall
The program separates strict theorems, conditional reconstructions, restricted minimality results, constrained branches, and open numerical or dynamical targets.
This prevents a constrained branch from being overstated as a theorem and prevents a ratio-level reconstruction from being treated as an absolute-scale derivation.
Core Closure Sequence
The primary technical map beneath the flagship synthesis.
The canonical QDL roadmap. It synthesizes dimensional closure, QDC geometry, operator governance, mass-spectrum architecture, substrate persistence, measurement-chain integrity, claim-status firewalls, failure modes, and validation paths.
DOI: 10.5281/zenodo.20461142
The program-level reference for QDL as a closure-admissibility theory of physical persistence. It defines the substrate as closure-persistent residue of candidate fluctuation structure.
DOI: 10.5281/zenodo.20346814
The geometric keystone extending the substrate capstone. It defines toroidal QDC knots as closure-stable Planck-scale two-cycle recurrence candidates.
DOI: 10.5281/zenodo.20367493
The completion-theorem spine. It collects exact anchors, conditional Standard-Model reconstruction, primitive three-family automorphism, charged-lepton closure, gravitational recurrence, and open proof gates.
DOI: 10.5281/zenodo.20692677
A representative source-anchored audit subset for closure-vector classification of Warsaw-basis SMEFT operator mixing.
DOI: 10.5281/zenodo.20357001
The numerical spectrum application: occupancy-amplitude closure, Koide cone structure, relational phase logic, and charged-lepton mass-ratio reconstruction.
DOI: 10.5281/zenodo.20328260
Technical Pillars
The main hard-physics pillars supporting the QDL closure program.
Conditional Standard Model Theorem
Gauge seed minimality, hypercharge closure, anomaly cancellation, and one-generation matter completion.
DOI: 10.5281/zenodo.20086341
Electroweak Numerical Closure
Scheme-declared reconstructions of the Higgs mass, weak mixing angle, fine-structure constant, and Fermi scale.
DOI: 10.5281/zenodo.20089936
Conditional Rank Theorem
Three generations, Yukawa depth, CKM leakage, and PMNS neutral-flavor closure as a common-scale hierarchy audit.
DOI: 10.5281/zenodo.20090053
Reproducible SMEFT Matrix Audit
Modular sector selection, anomalous-dimension closure, and violation taxonomy for operator governance.
DOI: 10.5281/zenodo.20087107
Classical Gravity Closure
Einstein-Hilbert minimality, Bianchi conservation, geodesic motion, Keplerian QDC recovery, and hierarchy structure.
DOI: 10.5281/zenodo.20088462
Horizon-Screened Curvature Ansatz
Vacuum-energy residuals, horizon ledgers, dark-sector separation, and cosmological constant scale analysis.
DOI: 10.5281/zenodo.20090219
Three Layers of the QDL Program
A framework-first research program extending into scientific applications and executable validation infrastructure.
1. Framework Layer
QDL develops dimensional closure, structural admissibility, the 3L + 2F ledger architecture, the Quantized Dimensional Cell, closure grammar, residual-first auditing, claim-status firewalls, the Toroidal QDC, and the QDC Completion Theorem.
2. Scientific Application Layer
The framework is applied to metrology, constants, effective field theory, representation governance, gravitational dynamics, flavor structure, mass-ratio closure, electroweak closure, cosmology, vacuum filtering, and residual tests.
3. Executable Infrastructure Layer
The third layer implements QDL as machine-executable infrastructure, including calculators, admissibility engines, measurement validators, AI scientific-output guardrails, scientific software analyzers, digital-twin checkers, and sensor-fusion filters.
| QDL is | QDL is not |
| A closure-admissibility theory of physical persistence | A mechanical medium, classical aether, or hidden material substance |
| A QDL Lattice interpretation in which space-like properties arise from closure-compatible recurrence | A claim that empty space has already been replaced by directly observed microscopic cells |
| A structural filter on representations before fitting | A replacement for established physics |
| A completion-gate architecture with explicit open proof targets | A claim that every Standard Model constant has already been computed |
| A pre-verification tool for models and measurement chains | A substitute for dynamical calculation or experiment |
One-line identity: QDL provides a residual-first structural admissibility constraint on physical representations and asks which candidate structures persist under declared closure rules.
Selected Application Directions
Representative downstream branches of the broader program.
Gravity and Cosmology
Applications include gravitational source parameters, Keplerian closure, horizon-screened curvature, vacuum-energy residuals, Compton-gravity thresholds, and gravitational admissibility.
QDL Lattice and Toroidal Geometry
The lattice branch studies whether Planck-scale candidate persistence can be modeled as closure-compatible recurrence, with toroidal cells supporting winding, phase, family, mass, gauge, vacuum, and gravitational closure.
Completion Theorem Gates
The QDC Completion Theorem identifies finite completion gates that must be closed or rejected before QDL can be treated as a candidate substrate-level completion theory.
Effective Field Theory
The SMEFT Γ(O) audit companion turns closure-vector operator governance into a source-anchored, machine-readable audit artifact.
Mass-Spectrum Closure
The charged-lepton sequence applies QDL occupancy-amplitude closure, Koide cone structure, and relational phase logic to numerical mass-ratio reconstruction.
Engineering and Model Integrity
A broader methodological branch treats dimensional admissibility as a pre-verification tool for engineering models, measurement pipelines, scientific software, AI-generated physical models, and digital twins.
Use the QDL Admissibility Calculator to test declared vectors, explore worked examples, and view structural admissibility under QDL closure rules.
The calculator provides a live demonstration layer for the research program, including SMEFT ℤ₆, dimensional-failure, and metrology examples.