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SMARTHAUS builds Mathematics as the Nervous System of AI

Mathematics is not merely a toolbox for designing models; it becomes an active medium within which models coexist and communicate.

AI_Response({inputs}) = Guardrails(∑i=1N Ei(Mi(inputi)) + U(Δt) + ...)

Just as a biological nervous system enables different organs to communicate and coordinate, our mathematical substrate enables different AI modules to share information, pursue goals together, and maintain awareness of each other's states.

Resonant Field Storage (RFS)

RFS is the first thing we built—a unified field-theoretic substrate that enables disparate AI components to communicate, exhibit collective awareness, and operate with mathematical guarantees. RFS replaces vector databases and ad-hoc RAG with a mathematically-governed memory field.

Field-native memory

A 4D field storage substrate where all AI modules project into the same Hilbert space. Information flows through field projections and resonance, not ad-hoc APIs.

Mathematical guarantees

Every operation is mathematically proven, not just tested. Deterministic guarantees, energy conservation, and formal proofs ensure stability and correctness.

Beyond vector databases

Unlike vector databases that store embeddings separately, RFS unifies deterministic bytes and semantic resonance in a single 4D lattice with mathematical operators.

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Mathematical Autopsy

The process that makes RFS possible. Mathematical Autopsy turns architectures into math first—then enforces invariants, energy constraints, and explicit reasoning chains before code ships. This is how we ensure every component is mathematically proven, not just tested.

Math first

Mathematical foundations defined before code. Invariants, lemmas, and failure envelopes are specified up front, then enforced in continuous integration.

Proven, not tested

42+ invariants validated in CI. 60+ verification notebooks with executable proofs. Every guarantee is documented, proven, and enforced.

Deterministic by design

Same inputs always produce same outputs. Mathematical proof, not probabilistic. Complete reproducibility and auditability at every layer.

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Two Product Archetypes

Both built on Resonant Field Storage (RFS), our core mathematical substrate.

TAI

Tutelarius Auxilium Intellectus

Your personal AI assistant that remembers everything and knows you deeply. Voice-first interface with natural conversation, deep personalization, and complete privacy through RFS.

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AIVA

Artificialis Intelligentia Vivens Anima

A self-improving AI system that uses intent to build and can evolve and optimize itself while maintaining mathematical correctness. Built on triadic architecture: Biology, Chemistry, and Physics layers.

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Ready to Build with Mathematical Certainty?

Join us in creating AI systems that are provable, traceable, and governable—from mathematical proof to intelligent production.

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