Priority Chain
Four filings over seven months. Each builds on the last. The core measurement method—PCA ablation on an algebraic reference lattice—has held priority since July 2025. Everything after is extension, validation, and application.
U.S. Application No. 63/983,234 · Priority: PPA filed July 28, 2025 · CIP filed February 27, 2026
The Instrument Suite
Nine methods. Each measures something different. Together they constitute the imaging suite, the theory of disease, and the prototype drug.
PCA Ablation Diagnostic
The core instrument. Remove PC1, classify against a lattice, read the interference fringe. Produces the ternary verdict: PENUMBRA / ANTI / FLAT.
Multi-Encoder Convergence Criterion
A structural classification is accepted only when independent encoders agree. Filters geometric artifacts from structural measurements.
Depth-Resolved Structural Profile
Per-layer penumbral projection. Maps how structural information emerges through processing depth. Produces a structural fingerprint per architecture.
Wilson Loop Holonomy
Gauge-theoretic curvature measurement on bit-pair plaquettes. Reveals coupling topology and product group structure in the penumbral subspace.
Ising Coupling Topology
Statistical mechanical decomposition of the lattice mass table. Extracts field strengths, pairwise couplings, and block structure. R² = 0.996 on language.
Causal Axis Identification
Difference vectors between causal-reversed sentence pairs cluster at p < 0.001 in layers 5–7. The penumbral subspace has directional structure. The axis is a vector, not a rotation.
Conservation Law Measurement
SFI invariance under fine-tuning perturbation. 20-point trajectory, adapter-disabled condition. Base SFI holds flat: 0.0329 mean vs 0.0331 baseline.
Structural Loss Function
Wilson loop regularizer during fine-tuning. The therapy. λ = 0.1, pre-registered. Under experimental validation.
Combinatorial Diagnostic Battery
Characterizes unknown symbol systems without a neural network. Co-occurrence statistics, NMI, grid fill, NMF rank, conditional entropy. Applied to the Voynich Manuscript. Recovered Currier A/B blind.
Independent Convergence
Two independent research programs arrived at the same core measurement through different paths. This is how science is supposed to work.
| Measurement | Aerogel Press | Raju (2026) |
|---|---|---|
| Core method | Split-half Spearman on RDMs | Split-half Spearman on RDMs |
| Priority date | July 28, 2025 | January 14, 2026 |
| Spectral tail sensitivity | PCs 2–50 (penumbral subspace) | k=26–30 retention |
| Stability ≠ similarity | Structural ⊥ distributional | ρ ≈ 0.01 across 2,463 configs |
| Domains tested | Language, music, symbol systems | Language, vision, audio, video, neuro, protein, molecular |
What Raju Confirms
The core finding—that stability and similarity are orthogonal, and that structural information lives in the spectral tail—replicates across seven domains and 2,463 configurations. We cite Raju as independent confirmation. Convergent discovery is the strongest evidence that the measurement is real.
What CSI Adds
Discrete lattice classification. Wilson loop curvature. Conservation law. Per-bit, per-layer resolution. Cross-encoder gauge comparison. Causal axis detection. Training intervention. Raju built a better stethoscope. CSI is the imaging suite.
Raju, P. C. (2026). “Geometric Stability: The Missing Axis of Representations.” arXiv:2601.09173.
Claim × Specification Map
Where each claim lives in the specification. For examiners, potential licensees, and anyone doing freedom-to-operate analysis.
| Claims | Subject | Spec Sections | Status |
|---|---|---|---|
| 1–4 | Core PCA ablation diagnostic | II–III | 11 encoders |
| 5, 22–23 | Multi-encoder convergence | X–XI | 2 substrates |
| 6–7 | Structural labeling methods | II.A | DRAGNET + UD |
| 8–9 | Stage-wise structural profiling | VII | 3 architectures |
| 10 | Wilson loop holonomy | IX | W ≈ 0.32 |
| 11–12 | Cross-domain & multi-class extension | V–VI, XII–XIII | 3 substrates |
| 13–14 | Three information regimes | VIII | 3 encoders |
| 15 | Coherence evaluation system | XIX.A | Contemplated |
| 16 | Multi-component ablation | VIII | K5 tested |
| 17–18 | Ising coupling topology | IX.C, XIV | R² = 0.996 |
| 19 | Triadic structure (middle voice) | IX.D | Greek + English |
| 20–21 | Penumbra-aware training | XVIII | 3 conditions |
| 24 | Nested peeling protocol | XVI | Feasibility demo |
| 25–26 | Combinatorial diagnostic battery | XIII | Voynich MS |
| 27 | Audio signal extension | XII | Baroque + Bach |
| 28 | Learned vs. engineered divergence | XII.F | MFCC vs wav2vec2 |
Roman numerals refer to sections of the filed specification. “Measured” means filing-grade experimental support exists. “Contemplated” means the specification describes the method but experimental validation is deferred.
Patent Figures
Four figures. The first two are the claims anchor and the discovery illustration. The second two are recommended supporting figures.
| Figure | Content | Claims Served |
|---|---|---|
| FIG. 1 | System overview: measurement pipeline from input corpus through PCA prism decomposition to ternary verdict | 1–4, 6–7, 15 |
| FIG. 2 | Eigenspectrum: three information regimes with the precipice between Zone I (PC1, structural null) and Zone II (penumbral subspace) | 1–3, 13–14 |
| FIG. 3 | Multi-encoder convergence: five architectures, four mechanisms, one convergent signature. Adversarial validation example. | 5, 22–23 |
| FIG. 4 | Ising coupling matrix: block-diagonal structure with 4.9–6.3× intra/inter ratio across three substrates | 17–18 |
Filing Status
Current Filing
Methods and systems for structural interferometry of information systems via principal component ablation and algebraic lattice decomposition.
What Is Protected
The core method: PCA ablation as a measurement instrument on an algebraic reference lattice. The multi-encoder convergence criterion. The Wilson loop holonomy analysis. The Ising coupling topology. The combinatorial diagnostic battery. The structural loss function. The three-tier regularization framework. Application across all structured input domains.
What Is Open
The underlying finding—that structural and distributional information occupy orthogonal subspaces—is an empirical discovery, not a patentable invention. The methods for measuring, validating, and exploiting that discovery are the claims. Code will be released Apache 2.0. Data and model outputs CC BY-NC 4.0. Replication is welcomed. Commercial deployment above threshold requires a foundation license.
The yeoman does not ask permission to measure. He files his measurements and invites the field to replicate them.