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.
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.
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.