QDL Research Suite

Abstract

QDL Research Suite v1.4.0 QDL Research Suite is a free, open-source Python package that brings together tested computational, verification, and reproducibility tools developed across the Quantum Diverter Loop (QDL) research program. The suite is designed to help researchers verify, reproduce, inspect, and reuse advanced mathematical, statistical, combinatorial, and computational results without rebuilding every method from scratch. Version v1.4.0 preserves the unified five-paper architecture introduced in earlier releases and upgrades the Paper-2 computational layer to its v2.0 scientific interface, while retaining the tested Paper-1, Paper-3, Paper-4, and Paper-5 modules and their historical provenance. The software is intended as a reproducibility and computational-verification toolbox. It provides a common command-line and Python interface for calculations developed across the five QDL papers while preserving the scope, provenance, archived source material, numerical checkpoints, and limitations of the original research. Main capabilities QDL Research Suite includes tools for: Walsh/Fourier interaction analysis; exact finite-sample permutation moments; exact means, variances, and cross-order covariances; Krawtchouk polynomial calculations; finite-alphabet and fixed-defect calculations; structured exact-distribution verification; arithmetic and combinatorial certificate checks; selected GKZ / A-hypergeometric computations; continuation-horizon verification; scoped lower-order exact-counting constructions; exact Small-N permutation and reduced-frame verification; Clebsch-graph and Walsh exact-tail calculations; exact hierarchy and orbit-weighting calculations; deterministic exact-tail certification; four-variable log-linear interaction analysis; rank and identifiability calculations; exact pair/triple contrast-closure verification; frozen external-test reproducibility; Johnson-scheme and slice-harmonic calculations; rank-normalized harmonic-layer profiles; finite-shot and uncertainty controls; historical source-file and SHA-256 integrity verification; cross-paper regression through a common command-line interface. Five paper modules Paper-1 — Exact Permutation Moments The Paper-1 module provides exact finite-sample calculations for Walsh interaction-order energies, including exact permutation means, variances, cross-order covariances, normalized order statistics, exhaustive small-system checks, and dense/sparse computational verification. Paper-2 — Exact Distribution Laws and Exact-Counting Verification Paper-2 extends the framework from moments to structured exact-distribution calculations and computational-complexity boundaries. The retained Paper-2 functionality includes: Walsh/Krawtchouk fixed-defect methods; finite-alphabet calculations; structured exact-distribution checks; arithmetic certificates; selected GKZ / A-hypergeometric representations; continuation-horizon calculations; complexity-boundary verification. Version v1.4.0 adds the Paper-2 v2.0 lower-order exact-counting and finite-verification layer. The new implementation includes: scoped ORDER-1-WALSH-ATOM construction and exact-counting helpers; theorem-predicted exact atom multiplicities; exact integer bookkeeping for the reduction factors; even-dimension near-top order correspondence checks; independent Small-N exact verification; dedicated Paper-2 v2.0 verification summaries; new command-line interfaces for lower-order constructions and exact benchmark reproduction. The finite verification layer includes: an extended N=4 exhaustive indexed-permutation theorem-family sweep with 315/315 exact matches; three N=8 auxiliary exhaustive indexed-permutation fixtures, reproducing exact counts of 96, 192, and 96; three N=16 exact reduced independent evaluations, reproducing exact atom counts of 12,288, 24,576, and 12,288; an exact d=3 Gram-frame verification with 192/192 admissible frames. The N=16 calculation is an exact reduced verifier; it is not presented as a brute-force enumeration of all (16!) permutations. The independent verification engine is kept logically separate from the theorem-prediction path so that the finite checks function as genuine computational cross-checks rather than circular restatements of the analytic formula. The Paper-2 module should not be interpreted as a universal efficient exact PMF/CDF solver for arbitrary fields, arbitrary Walsh orders, or arbitrary problem sizes. Paper-3 — Exact Certified Tail Computation Paper-3 implements the scoped finite (n=5) Walsh/Clebsch exact-tail framework, including Clebsch-graph calculations, hierarchy construction, (S_5) orbit weighting, deterministic pruning, exact certificate verification, and certified tail-probability calculations. The implementation remains intentionally scoped to the stated finite problem and is not presented as a universal arbitrary-(n) exact-distribution solver. Paper-4 — Identifiability, Contrast Closure, and Frozen External Testing Paper-4 includes exact rank verification for the restricted seven-parameter FR-OSI family, pair/triple contrast verification, full-rank reconstruction through complementary contrasts, retrospective benchmark calculations, frozen external four-series testing, Wald and likelihood-ratio checks, bootstrap calculations, and historical source-integrity verification. Paper-4 studies a specified restricted interaction family. Rejection of that restriction does not identify a unique alternative model, causal process, forecasting rule, or physical mechanism. Paper-5 — Johnson-Harmonic Correlator Profiles Paper-5 provides structured harmonic analysis of fixed-order correlator fields on Johnson/slice state spaces, including exact harmonic-layer dimensions, rank-normalized calibration, structured profile decomposition, retained six-qubit and 32-qubit recalculations, uncertainty anchors, finite-shot controls, and reproducibility checks. The Paper-5 implementation is intended for reproduction, calibration, structured inspection, and verification of the stated Johnson-harmonic calculations. v1.4.0 software verification The DOI-stamped v1.4.0 release candidate has undergone full source and installed-package regression testing. Final verification includes: 55/55 source tests passed; 55/55 tests passed against the installed wheel; combined Paper-1 through Paper-5 reproduction checks passed; Paper-2 v2.0 lower-order verification passed; Paper-3 archive-integrity verification passed; Paper-4 archive-integrity and full reproduction checks passed; Paper-5 archive-integrity and regression checks passed; source-versus-installed deterministic outputs matched on the required release gates; wheel package contents were checked against the frozen source; installed software version verified as 1.4.0; reserved v1.4.0 DOI embedded in release metadata and provenance. The new Paper-2 v2.0 integration increases the unified regression suite from the previous 45-test baseline to 55 tests, while preserving the established Paper-1, Paper-3, Paper-4, and Paper-5 computational modules. New command-line interfaces in v1.4.0 Version v1.4.0 adds dedicated Paper-2 v2.0 commands including: qdlrs paper2-lower-order qdlrs paper2-smalln qdlrs paper2-v2-summary The existing combined: qdlrs reproduce workflow remains available and now includes the Paper-2 v2.0 verification block alongside the existing five-paper reproducibility checks. Reproducibility and provenance QDL Research Suite preserves the historical paper-specific computational packages, archived source material, checksum records, and release lineage rather than silently replacing earlier artifacts. Version v1.4.0 belongs to the existing QDL Research Suite version family: Concept / all-versions DOI: 10.5281/zenodo.22952901 Previous v1.3.0 DOI: 10.5281/zenodo.22972830 v1.4.0 DOI: 10.5281/zenodo.22991852 The v1.3.0 release remains an immutable historical software checkpoint. Version v1.4.0 extends that release by integrating the Paper-2 v2.0 scientific and exact-verification layer while regression-preserving the remaining paper modules. Scope QDL Research Suite is a computational and reproducibility toolbox. Software regression, exact finite checks, and reproducibility results should not be interpreted as external peer review or as proof of scientific claims beyond the explicitly stated mathematical and statistical scope of the corresponding papers. The software by itself does not establish: a new microscopic physical Hamiltonian; Bell nonlocality; causation or retrocausality; future-state prediction; a forecasting advantage; a nonzero physical intervention parameter; universal validity of the restricted models studied in the papers; a universal arbitrary-(n) exact-distribution solver; or a new universal Johnson-harmonic theorem. In simple terms QDL Research Suite is one reproducible toolbox for checking difficult mathematics and reproducing the computational results behind QDL Papers 1–5. Paper-1 checks exact permutation moments.Paper-2 checks structured exact distributions, computational boundaries, and the new v2.0 scoped lower-order exact-counting verification layer.Paper-3 checks certified exact tail probabilities.Paper-4 checks model identifiability, contrast closure, and frozen external statistical testing.Paper-5 checks Johnson-harmonic correlator profiles, calibration, uncertainty controls, and reproducibility. Version v1.4.0 keeps all five computational layers in one tested software package and adds the new Paper-2 v2.0 exact-counting and independent finite-verification tools while preserving the established QDL Research Suite provenance chain.