Framework
Mathematics as the Nervous System of AI (Full Framework)
The complete framework document: field-theoretic substrate, Hilbert space operators, RFS implementation, 44 invariants, and empirical validation. No summary—full thesis.
Read more →Research
Explore our mathematical papers, formal proofs, and real-world use cases. Every claim is documented, proven, and validated.
Research Papers & Proofs
Mathematical foundations, formal proofs, and academic papers documenting our approach to field-native AI systems.
Explore Papers →Use Cases
Real-world applications of RFS and SMARTHAUS technology across industries. See how field-native memory solves critical problems.
RFS Use Cases →Featured Research
Our latest papers and proofs documenting the mathematical foundations of SMARTHAUS systems.
Paper
Resonant Field Storage: Field-Theoretic Framework
Academic paper with formal mathematical foundations, lemmas, invariants, and empirical validation of the unified dual-path architecture.
Read more →Methodology
Mathematical Autopsy
Our math-first methodology: document, model, validate—then build with proofs and gates.
Read more →Featured Use Cases
See how RFS and SMARTHAUS technology solves real-world problems with mathematical guarantees.
RFS
Incident Memory On-Call
Persistent incident memory for DevOps teams with complete provenance tracking.
Learn more →RFS
RAG with Proofs
Retrieval-augmented generation with mathematical guarantees on every result.
Learn more →RFS
Code Intelligence
Codebase memory that understands context, history, and relationships.
Learn more →Want to Learn More?
Dive into our research, explore the mathematics, or get in touch to discuss how SMARTHAUS technology can work for you.