The algebraic and lattice-theoretic foundation for representing dimensional quantities as integer vectors.
QDL Publications
This page is organized in a framework-first order. The best entry path is: integer-lattice foundation → dimensional-closure formalism → SMEFT application → metrology → book-level synthesis. Benchmark records and downstream applications follow after the core path.
For a live demonstration of structural admissibility under these rules, use the QDL Admissibility Calculator.
This book is a reader-facing synthesis of the QDL program. The canonical mathematical structure and strongest technical claims remain in the DOI-backed papers and preprints.
Top 5 · Foundational Path
Recommended entry sequence for editors, collaborators, and first-time technical readers.
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.
QDL–SO10–1 Executable Grand-Unification Benchmark Series
A completed DOI-backed benchmark sequence applying QDL structural admissibility to an SO(10)-compatible grand-unification package.
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.
Recommended reading order: start with the capstone Paper #9 for the integrated map, then Papers #5–#8 for the executable hardening details, and finally Papers #1–#3 for the original benchmark, phenomenology, and stress-test sequence.
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.
Executed Benchmark Records
Methodological records designed for auditability and replication. These do not claim new physical effects.
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.
Selected Applications
Downstream uses and hypotheses best read after the foundational papers.
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.
For the shortest technical entry, start with the Top 5. After that, use the benchmark records for auditability and the application papers for scope expansion.