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TAI: RFS-Native Autonomy

Research

Research archetype currently wired to RFS and exercising CAIO, MAIA, ALQ, AEF, VFE, VEE, and NME. Temporal autonomy with mathematically-proven memory.

H(x,t) = ∫∫∫ M(ξ,τ) × K(x-ξ, t-τ) dξdτ

Resonant Field Storage (RFS): Associative resonance with exact recall

The Mathematics Behind TAI

Resonant Field Storage (RFS)

ψ(r) = ∫ A(k)e^(ik·r)dk

Unlike vector databases that lose context, our RFS approach ensures every memory fragment contains relational information about the whole system.

Interference Patterns

I(x) = |E₁ + E₂|²

Memories interfere constructively and destructively, creating emergent understanding from overlapping knowledge patterns.

Perfect Recall

R(q) = ⟨M(t), q⟩ / ||q||

Mathematical guarantee of context retrieval. Even with partial queries, TAI reconstructs complete knowledge through resonant field principles.

Stack Integration

RFS substrate plus CAIO (orchestration), MAIA (intent), ALQ (chemistry), and AEF (physics). Each transformation runs under Autopsy.

Research Signals:

  • RFS-backed context - Field-native recall with bounded decay
  • MAIA + CAIO - Intent capture and governed orchestration
  • ALQ + AEF - Chemistry-to-physics execution with proofs
  • NME traits - Safety and personality constraints that travel

Behavior = f(RFS, ALQ, AEF, CAIO, MAIA, VFE, VEE, NME)

Stack Components:

Substrate:
  • RFS memory
  • ALQ chemistry
  • AEF physics
Control:
  • CAIO orchestration
  • MAIA intent
  • NME traits

TAI Agent Ecosystem

Specialized agents built on TAI's mathematical foundation. Each agent inherits Resonant Field Storage (RFS) with CAIO/MAIA/ALQ/AEF orchestration.

📈 SIGMA Trading Intelligence

170 sophisticated trading signals across 8 mathematical categories. Institutional-grade quantitative analysis with proven algorithms.

  • Real-time market data integration
  • Options Greeks monitoring
  • Risk management with boundaries
  • Schwab API execution

🔬 Mathematical Autopsy

Decomposes natural language into deterministic symbolic pipelines. Every AI decision traced through mathematical proof.

  • Intent → Calculus → Code transformation
  • Complete symbolic trace
  • Validation at every step
  • Deterministic replay

🚀 Marketing Intelligence

AI-driven LinkedIn marketing automation with content generation, smart scheduling, and performance analytics.

  • Multi-LLM content generation
  • Optimal timing algorithms
  • OAuth 2.0 security
  • Real-time analytics

📓 Notebook Factory

Automatically generates Jupyter notebooks from natural language. Mathematical workflows built through conversational AI.

  • Intent to notebook pipeline
  • Code generation with proofs
  • Auto-documentation
  • Version control integration

TAI Architecture

TAI Architecture Diagram

Implementation Options

Cloud Deployment

Scalable

Full TAI platform on AWS/Azure with auto-scaling and global distribution.

On-Premise

Secure

Run TAI in your data center with complete control over data and models.

Hybrid Architecture

Flexible

Sensitive data on-premise, compute in cloud. Best of both worlds.

Experience RFS-Native Autonomy

TAI isn't just another chatbot. It's mathematically-proven memory that transforms every conversation into permanent, searchable knowledge.