VARZIN Level-1 Computational Stack: Finite Affine Core, Genomic Scanner, and Torus Manifold Solver

Research question and current reading.

The durable contribution is the separation of a proved affine core from computational null-model tests. The reported tectonic and genomic controls do not support the earlier physical-field or biological-encoding interpretations.

What was actually tested.

• Finite affine analysis over Aff(Z12), including the 48-operator space and the Mirror-13 transition construction.
• Lazy-random-walk spectral analysis for the 312-state / 600-edge Mirror-13 construction.
• Toroidal Laplace–Beltrami numerical benchmarking with FEM/Fourier methods and Gaussian regularization (σ = 2.0).
• USGS earthquake-distance audit with a tectonically conditioned Alpide null model.
• Deterministic SHA-256 genomic scanning with dinucleotide-preserving shuffles and Benjamini–Hochberg FDR control.
• Blind LUXVAR Core-30 model clustering as a separate language-model audit.

Strongest supported findings.

• |Aff(Z12)| = 48 is the clean mathematical result; the Mirror-13 construction reports 312 states, 600 directed edges, and lazy-walk spectral gap ≈ 0.04133.
• The node-location control reports nearly unchanged torus spectral response for named versus random locations, supporting a generic perturbation interpretation rather than location-specific resonance.
• Under the Alpide-conditioned tectonic null, the apparent Kailash seismic effect dissolves (p = 0.3956); Giza is also non-anomalous (p = 0.9550).
• The reported Chromosome 11 scan produced 0 significant windows after FDR correction under the stated dinucleotide-preserving null.

Negative findings are part of the result.

• No independent physical-field resonance is supported by the reported tectonic control.
• No anomalous linguistic/harmonic genomic signal was detected in the tested chromosome window under the stated FDR-controlled scan.
• The direct frozen-model axis audit reported near-random recovery for the tested Mistral and Llama models; this does not establish a universal model limitation.

What this record does not establish.

• The numerical, geophysical, genomic, and language-model tracks use different assumptions and should not be collapsed into a single validation claim.
• The genomic result is scoped to the tested sequence/window and null model; it is not a universal statement about all biological sequence structure.
• VPE-001A is a planned human-rater experiment in this record, not a completed human result.

Full text, code, data, and provenance.

• The Zenodo release exposes the monograph plus Python implementations, requirements, a seismic snapshot, and a cognitive test dataset.
• The uploaded monograph supplied for this website audit is byte-identical to the Zenodo file varzin_academic_paper_en.pdf (verified by MD5).
• The release uses deterministic SHA-256 seeding in the genomic workflow rather than Python’s randomized default hash().

Zenodo REST file inventory and checksums re-verified 2026-09-14; uploaded paper copy exactly matches the public Zenodo PDF.

Canonical version-specific record.

Verified repository identity.

Zenodo metadata identifies this item as open-access software published on 2026-08-21 under the MIT License.

Keep this deposit distinct from later interpretation.

The release makes the implementation layer explicit. Mathematical, numerical, genomic, and auditing components can be examined as software without treating the existence of code as validation of any physical, biological, cognitive, or semantic hypothesis.

Version v2.0.0 is the listed software release. Results should be attributed to the documented code, dependencies, inputs, and assumptions rather than generalized beyond the implementation.