Complete — 6 parts published
Thesis: Search engine authority is an engineered convergent property, not an emergent mystery. Authority trajectories follow contraction mappings with provable convergence bounds.
Method: Contraction mapping analysis, fixed-point convergence proofs, adversarial robustness modeling
Measured Variables: Authority Stability Ratio (ASR), Convergence rate, Adversarial perturbation bounds, Multi-agent equilibrium conditions
Limitations: Empirical validation limited to single-domain case studies. Cross-industry generalization requires further testing.
Complete — 8 parts published
Thesis: Production workflows are formally specifiable as lifecycle automata with provable invariants, enabling crash-proof operations on commodity infrastructure.
Method: Discrete event system modeling, supervisory control theory (Ramadge-Wonham), invariant verification, event sourcing with crash recovery proofs
Measured Variables: State invariant violation rate, Batch throughput, Margin entropy, Recovery time after failure
Limitations: Tested in single-enterprise ornament production. Multi-facility generalization and distributed consensus extensions pending.
In progress — 4 of 7 parts published
Thesis: Ecommerce platforms that project structured knowledge through semantic layers outperform those optimized for transactional keywords, because authority compounds path-dependently.
Method: Knowledge-first architecture analysis, canonical topic modeling, path-dependent UX measurement, SEO authority recovery tracking
Measured Variables: Organic traffic recovery curve, AI citation frequency, Canonical topic coverage, Internal link density
Limitations: Single-domain implementation (ornament ecommerce). Competitive analysis limited to same vertical.
In progress — 4 of 8 parts published
Thesis: Operational systems that self-modify their own structure through cybernetic feedback loops outperform static architectures, but only when adaptation velocity is governed by formal constraints.
Method: Cybernetic feedback loop analysis, digital twin architecture, adaptation velocity measurement
Measured Variables: Structural adaptation rate, Operational entropy, Feedback latency, Mutation success rate
Limitations: Prototype stage. No production deployment of full adaptive substrate yet.
In progress — 3 of 8 parts published
Thesis: Federated causal digital twins with Byzantine-resilient aggregation enable world-scale coordination without centralized control, preserving local autonomy while achieving global coherence.
Method: Causal inference modeling, Byzantine fault tolerance analysis, compression-through-understanding information theory
Measured Variables: Causal model fidelity, Byzantine tolerance threshold, Compression ratio vs. understanding loss, Federation latency
Limitations: Purely theoretical. No implementation. Journal submission planned.
In progress — 2 of 6 parts published
Thesis: Knowledge systems require explicit epistemic governance layers that distinguish between proof, hypothesis, observation, model, and anecdote — and track how each propagates through decisions.
Method: Epistemic layer analysis, cross-system impact tracing, decision provenance modeling
Measured Variables: Epistemic classification accuracy, Decision traceability depth, Cross-system impact propagation
Limitations: Framework definition stage. Application to xops360 documentation underway.
Paper published — IACR ePrint 2026/108326
Thesis: Security systems where meaningful information, capabilities, and effects do not exist outside authorized execution contexts provide stronger guarantees than encryption, because unauthorized observers cannot distinguish between absence, undefined state, and noise.
Method: Pufferfish-style hypothesis-pair indistinguishability, differential privacy composition theorems, transcript-level formal analysis
Measured Variables: Transcript indistinguishability (epsilon, delta), Adversary advantage bound, Privacy budget depletion rate, Classifier accuracy against channel-shaped responses
Limitations: Proof of concept targets Level 1 adversary (network-only) only. Agent behavioral leakage out of scope. Formal guarantees depend on correct secret specification.