QDL Publications

The canonical QDL orientation and program-architecture record. It synthesizes dimensional closure, QDC geometry, operator governance, mass-spectrum architecture, substrate persistence, measurement-chain integrity, claim-status firewalls, failure modes, and near-term validation paths.

This record frames QDL as a structural-admissibility program rather than a completed unification theory. It distinguishes definitions, reconstructions, ansatz-level hypotheses, audits, residuals, and theorem targets so that the program can be evaluated by explicit claim status and reproducible validation paths.

The first peer-reviewed journal publication for the QDL research program. It establishes the metrology application layer through dimensional closure, QMU ledgers, and the structural treatment of constants and measurement relations.

The QDL substrate architecture record. This capstone defines QDL as a residual-first closure-admissibility theory of physical persistence and frames the substrate as the closure-persistent residue of candidate Planck-scale fluctuation structure.

Key contributions include a dimensionless Compton–gravity threshold, a charged-lepton mass-ratio reconstruction, a gravitational QDC-to-curvature bridge, a vacuum-filter toy model, a provisional SMEFT audit criterion, a full matrix-audit protocol, a measurement-chain closure theorem, and a constants-as-closure-operators interpretation.

The canonical QDL geometric substrate-mode paper. It models Planck-scale candidate structure as a closure-stable toroidal two-cycle recurrence knot and gives the substrate capstone a compact geometric persistence object.

The central identity is QDC_T = V_Tω₁ω₂ ∼ L³F², with closure sequence T_n,m → QDC_T → Γ_T(T) → C^T_QDL = 0 → R^T_QDL.

Conditional links include a minimal three-family recurrence-class structure, 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.

The current QDL completion-theorem spine. This record consolidates the route from the Planck-scale toroidal QDC substrate to local Standard-Model admissibility and gravitational recurrence, using exact anchors, conditional reconstruction gates, and declared open proof targets.

The theorem-status claim is deliberately controlled: stable physical structure is proposed to arise as a closure-stable projection of a Planck-scale toroidal QDC substrate. The paper 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.

Scope note: this paper should be read after the roadmap, JTAP metrology foundation, substrate capstone, and Toroidal QDC Knot, and before the SMEFT audit and charged-lepton numerical sequence.

The falsifiable operator-governance test for the QDL substrate program. This dataset provides representative source-anchored Warsaw-basis operator assignments, exact/source-anchored rows, strict-zero and compensator targets, verification taxonomy, data dictionary, changelog, sources table, README, workbook, and package ZIP.

Scope note: v1.0 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 of QDL. This synthesis distinguishes derived occupancy-amplitude / Koide eigencone and relational-phase layers from phenomenological radial closure diagnostics.

The mass-spectrum sequence is now best read after the QDL roadmap, substrate capstone, and Toroidal QDC Knot because the roadmap provides the program architecture, while the toroidal paper gives a geometric interpretation of three-family recurrence and the charged-lepton relational phase θ_ℓ = 2/9.

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.

Status: U.S. provisional patent application filed; patent pending.

Identifies the gravitational parameter μ = GM as a direct L³F² realization of the Quantized Dimensional Cell and interprets Keplerian closure as μ = r³ω² for circular motion and μ = a³n² for elliptical Keplerian motion.

The top-level orientation record for the QDL program. It places the technical sequence into a program architecture with explicit claim-status firewalls, failure modes, and near-term validation paths.

The program-level capstone for QDL. It defines the substrate interpretation, physical-persistence identity, Compton–gravity threshold, mass-ratio closure, vacuum filtering, measurement-chain closure, and EFT audit framing.

The geometric keystone extending the substrate capstone. It defines toroidal QDC knots as closure-stable Planck-scale two-cycle recurrence candidates and develops the sequence T_n,m → QDC_T → Γ_T(T) → C^T_QDL = 0 → R^T_QDL.

The completion-theorem spine of the current QDL program. It collects the exact anchors, conditional local Standard-Model reconstruction, primitive three-family automorphism, charged-lepton closure, gravitational recurrence, and remaining open proof gates into one theorem-status-controlled architecture.

The earlier roadmap and claim-hierarchy paper for the QDL technical sequence. It organizes the framework around structural closure, numerical closure, residual tests, spectrum selection, constants, operators, gravity, and cosmology.

The reference ledger and executable-check companion to the roadmap paper. It supplies first-pass closure reconstructions across electroweak, flavor, gravitational, and cosmological targets.

Develops the conditional Standard Model spectrum-selection result through gauge seed minimality, hypercharge closure, anomaly cancellation, and single-generation matter completion.

Provides scheme-declared electroweak numerical reconstructions of the Higgs mass, effective weak mixing angle, fine-structure constant, and Fermi scale.

Frames flavor structure through a conditional rank theorem and hierarchy audit covering three generations, Yukawa depth, CKM leakage, and PMNS neutral-flavor closure.

Converts QDL operator governance into a reproducible SMEFT matrix audit with modular sector selection, anomalous-dimension closure, and violation taxonomy.

Develops the gravity closure layer through Einstein–Hilbert minimality, Bianchi conservation, geodesic motion, Keplerian QDC recovery, and the Planck–electroweak hierarchy.

Presents cosmological closure as a horizon-screened curvature ansatz, emphasizing vacuum-energy residuals, cosmic horizon ledgers, and dark-sector separation.

Consolidates the QDL closure sequence by separating strong claims, open residuals, falsification tests, and the emerging compact closure grammar.

Develops the neutral matching unit as a closure-grammar result linking binary–ternary sector coupling, Z6 operator grading, and electroweak residual preservation.

Connects quantized dimensional closure to Compton localization-frequency structure and operator sector selection, sharpening the physical interpretation of the Quantized Dimensional Cell.

Identifies μ = GM as a direct QDC-form object and frames Keplerian closure as a physically concrete realization of L³F².

The algebraic and lattice-theoretic foundation for representing dimensional quantities as integer vectors.

The main formal statement of dimensional closure as a structural admissibility condition in the QDL framework.

Applies the closure framework to SMEFT operator structure and argues for additional admissibility constraints.

Extends the framework into metrology, dimensional closure, and the structural treatment of constants and measurement relations.

A synthetic presentation of the full program intended to improve accessibility and narrative continuity.

The QDL–SO10–1 series applies QDL structural admissibility to an SO(10)-compatible grand-unification benchmark. The sequence proceeds from benchmark definition through low-energy phenomenology, stress testing, executable gauge closure, scalar-threshold closure, operator-level proton-decay exposure, flavor/leptogenesis hardening, and integrated capstone synthesis.

The series is not presented as a final theory of nature. It is an executable, falsifiable benchmark program designed to make QDL-based grand-unification claims auditable and reproducible.

Defines the initial QDL–SO10–1 SO(10)-compatible benchmark, including the symmetry-breaking chain, scales, thresholds, and first proton-decay exposure estimates.

Extracts the low-energy phenomenological consequences of the benchmark, emphasizing indirect signatures, neutrino observables, proton decay, and the absence of broad light charged or colored remnants.

Classifies the benchmark into robust, conditional, and revision-forcing features, with explicit comparison to alternative GUT containers and failure modes.

Situates the initial QDL–SO10–1 trilogy against SU(5), Pati–Salam, SO(10), supersymmetric GUTs, E6, string/F-theory constructions, and modern nonminimal scans. This perspective is now superseded by the integrated Paper #9 capstone.

Revises the benchmark through executable gauge-running closure, exposing the original residual and establishing the hardened coupling target.

Converts calibrated threshold closure into block-level scalar-derived threshold closure using a reduced scalar-threshold basis.

Replaces scaling-level proton-decay exposure with operator-level benchmark lifetimes, Wilson coefficients, hadronic inputs, and channel-level exposure bands.

Tests a reduced SO(10)-compatible flavor texture, neutrino closure, leptogenesis viability, and proton-decay flavor feedback.

Integrates the full sequence into a single executable closure capstone, presenting QDL–SO10–1 as a benchmark-level GUT program rather than a final theory claim.

Residual-first adequacy testing under declared model families and parameter budgets.

Public-data benchmark record structured for replication and residual-first interpretation.

Optical cavity benchmark with public provenance and declared methodological controls.

Identifies the gravitational parameter μ = GM as a direct L³F² realization of the Quantized Dimensional Cell and interprets Keplerian closure as μ = r³ω² for circular motion and μ = a³n² for elliptical Keplerian motion.

A gravity and cosmology application of QDL dimensional-closure ideas, focused on expansion structure without independent dark sectors.

An EFT-focused application of ledger lattices and dimensional-closure logic beyond the main foundational path.

A cross-domain application of QDL as a structural pre-verification and auditing method for engineering and measurement systems.