Completed
Field-Theoretic Memory Systems
Paper complete · January 2026
Memory systems for AI agents modeled as continuous fields rather than
discrete key-value stores. Enables smooth interpolation, natural decay,
and principled attention over long contexts.
Key Ideas
- Memory as continuous scalar/vector fields
- Gaussian kernel attention for smooth retrieval
- Temporal decay with configurable half-lives
- Extension of FTCS (Field-Theoretic Context System)
Paper
Code
Verified Synthesis (Verity)
Paper complete · January 2026
A framework for verified code generation using the CE2P hypothesis:
Confidence, Error rate, Effort, and Progress are sufficient signals
to verify correctness without ground truth.
Key Ideas
- CE2P: Four measurable signals that predict correctness
- DistSynth-50: Benchmark of 50 distributed systems tasks
- 274x speedup over manual implementation
Paper
Code
Benchmark
Adversarial Evolution (Red Queen)
Paper complete · January 2026
Evolutionary algorithms for adversarial testing of trust systems.
Systems must constantly evolve to survive against co-evolving adversaries.
Key Ideas
- Genetic algorithms for attack pattern generation
- Semantic-level mutation (not just parameter fuzzing)
- Co-evolutionary dynamics between attack and defense
Paper
Code
Trust Cascade Theory
Paper complete · January 2026
Formal mathematical framework for ROI-based decision routing in
multi-tier trust systems. Proves convergence of self-learning rules
and optimality of cascade architectures.
Key Ideas
- Economic formalization of escalation decisions
- APLS convergence proof
- Domain-agnostic cascade design principles
Paper