Independent computational research · VARZIN Project
A research program at the intersection of finite affine mathematics, reproducible computation, and constructed symbolic systems.
Led by Reza Nirouyar. Built around explicit assumptions, controlled tests, and a record that remains open to correction.
01 / Reading the evidence
A mathematical proof, a computational report and an empirical question are distinct research records. Each should be read within its stated scope.
Affine bijection criterion; valid multiplier count.
Deterministic implementations; verify the specific release.
Computational findings with stated artifact limits.
Mirror-13 MDL depends on its coding and candidate space.
Designed structure and hypotheses requiring controls.
Tested criteria or predicted recovery not achieved.
Independent semantics remain unestablished.
Human evaluation; no established outcome.
Earlier claims retained for provenance.
No established evidence for physical or consciousness-field effects, quantum mechanisms, frequency-to-meaning causation, or independent semantic emergence. Read the current research position ↗
02 / Research directions
Affine permutations over finite cyclic spaces, deterministic models and construction-specific audits.
The bijection criterion is proved mathematics. Mirror-13 connectivity checks are a separate computational record.
Read the finite affine systems guide ↗A constructed symbolic system with deliberately designed morphemic and structural regularities.
The broader 801-entry design layer is not 801 equally validated roots. Surface structure does not establish independent semantics.
Understand LUXVAR ↗Protocols for separating intended semantic structure from morphology, matched controls and training effects.
Recruitment has not commenced for the later N=59 plan. No human outcome is established; protocol identities remain unresolved.
Read protocol history & limits ↗03 / Selected research records
Project-listed public deposits. Listing a record does not imply independent validation or peer review; version-specific DOIs are preserved for provenance.
Software release; reproducibility and mathematical/computational claims remain tied to the documented implementation and assumptions.
DOI: 10.5281/zenodo.22036769 ↗Frozen-model audit and negative result record; interpret within the tested models and protocol.
DOI: 10.5281/zenodo.22101179 ↗Separates representation recovery from systematic composition; recovery does not by itself establish compositional generalization.
DOI: 10.5281/zenodo.22679978 ↗Third public version of the projection-head research record; the versioned DOI is retained separately for provenance.
DOI: 10.5281/zenodo.22287006 ↗Historical title wording retained for citation continuity; current VARZIN interpretation does not treat independent semantic-axis recovery as established.
DOI: 10.5281/zenodo.22115483 ↗04 / Reproducibility
Reproducibility belongs to a specific artifact and release. Check the version, assumptions, inputs and corrections before reusing a result.
Use the exact DOI and release in the publication registry.
Separate proved statements from reported computation and inspect the evidence boundaries.
Consult preprint corrections and addenda; retain artifact limitations in any citation.
05 / Negative results
Negative results constrain the next question. They remain visible alongside positive findings.
Track D reported ARI −0.0337 for Mistral 7B and +0.0152 for Llama 3 8B against intended axis/orbit labels. This finding applies to those unremediated models and that protocol.
Read Track D scope ↗Project-reported trained representation recovery did not yield systematic held-out composition in the tested procedure. This is not a claim about all LLM algebra.
Read composition & artifact limits ↗SEM-001 found no string-level semantic-axis signal in the tested analysis. SEM-002 met 1 of 4 criteria against a threshold of at least 2 of 4.
Read the preprint record ↗06 / Provenance & corrections
Earlier interpretations remain traceable. Corrections change the reading of the evidence; historical documents do not override the current position.
Inspect the access-action register ↗Historical ARI 0.812 concerns inter-model surface/morpheme agreement, not intended semantic-axis recovery. Raw pairwise scoring was not independently reverified at correction.
The 20691858 / 22115483 deposit-version mapping and YEGJ8 / 2NKZA protocol relationship remain partially unresolved.
Earlier symbolic narratives, historical reports and the previous portal are preserved as provenance, not current findings.
The computational atlas
Mathematical core, Core-30 registry, methods, negative findings and the archive boundary—in one public index.
Enter the research atlas ↗Researcher / Project author
Independent Researcher · VARZIN Project
Research in finite affine systems, reproducible computational models and the structured analysis of LUXVAR.
Use the DOI or release associated with the finding. For the portal itself: Nirouyar, Reza. VARZIN Research Portal and Reproducibility Materials. VARZIN Project.
Find citation records ↗