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Resonant Field Storage (RFS)

The first field-native memory substrate that replaces vector databases with mathematically-governed memory. Agents remember, explain, and prove what they do over time.

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What is Resonant Field Storage (RFS)?

RFS unifies storage and structure in a single mathematical artifact, enabling capabilities impossible with traditional vector databases. Unlike vector databases that require external indexes and provide probabilistic results, RFS uses field-theoretic operations to enable both associative recall through resonance and exact byte reconstruction with mathematical guarantees.

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Field-Native Memory

Every document encodes as amplitude + phase in a shared 4D field Ψ(x,y,z,t). No external index—structure and storage are unified. This field-theoretic approach enables both semantic resonance for associative recall and deterministic byte reconstruction for exact retrieval. The field itself becomes the index, eliminating the need for separate data structures and ensuring mathematical consistency across all operations.

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Associative + Exact Recall

Matched filters surface resonant peaks in milliseconds. AEAD-backed byte recall reconstructs exact payloads when precision matters. The dual-channel architecture separates semantic resonance (for context discovery) from byte-level storage (for exact reconstruction), giving you both the speed of associative search and the precision of deterministic retrieval. Every result includes full provenance tracing back to the original field encoding.

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Mathematical Guarantees

Deterministic by design. Same inputs always produce same outputs—proven, not tested. Complete audit trail with every operation. Every operator is governed by formal lemmas and invariants validated through our Mathematical Autopsy process. Energy conservation, capacity bounds, and recall accuracy are mathematically guaranteed, not empirically measured—enabling true reproducibility and compliance-grade auditability.

Resonant Field Storage (RFS) vs Vector Databases

Vector DatabaseResonant Field Storage
Approximate nearest neighborExact resonance with field dynamics
External index structuresSelf-organizing field storage
Probabilistic recallDeterministic with mathematical proof
No provenance trackingComplete audit trail for every shard
Brittle at scaleGoverned by capacity & efficiency metrics

Mathematical Foundation

RFS is built on rigorous mathematical principles from quantum mechanics and field theory. Every operation is governed by proven lemmas and invariants.

Ψ(x,y,z,t) = Σ aₖ · e^(iφₖ) · Φₖ(x,y,z,t)

Documents encode as amplitude-phase pairs in the field, enabling both associative recall through resonance and exact reconstruction through AEAD-backed byte channels.

Explore the Mathematics →

Core Guarantees

Deterministic Execution100%

No non-deterministic silos. Every component produces identical outputs for identical inputs—enforced at every layer.

Reproducibility
Energy Conservation42+

All FFT operations preserve energy (Parseval's theorem). Field operations maintain budgets with telemetry tracking.

Validated Invariants
Formal Proofs60+

Mathematical Autopsy ensures proofs before code. Every operator has formal specification documented in lemmas.

Verification Notebooks

Real-World Applications

RFS powers critical applications where memory integrity, provenance, and determinism are non-negotiable.

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RFS

Research Knowledge Graph

Scientific research memory that connects papers, findings, and hypotheses. RFS enables research assistants that understand the landscape of knowledge and can trace claims to sources.

Scientific research generates vast amounts of knowledge, but connecting findings, hypotheses, and papers across disciplines remains a challenge. Traditional research tools rely on citation networks an...

Key Benefits

  • Connected knowledge representation
  • Claim-to-source tracing
  • Hypothesis relationship mapping
  • Research evolution tracking
Click to learn more →
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RFS

Enterprise Knowledge Base

Mission-critical knowledge retrieval for regulated environments. RFS provides deterministic knowledge access with complete provenance, enabling compliance-grade knowledge management systems.

Enterprises in regulated industries require knowledge management systems that can prove the accuracy, provenance, and integrity of every piece of information. Traditional knowledge bases rely on searc...

Key Benefits

  • Deterministic knowledge retrieval
  • Complete provenance tracking
  • Mathematical integrity guarantees
  • Compliance-grade audit trails
Click to learn more →
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RFS

Pharmaceutical Discovery

Accelerate drug discovery with field-native memory that connects molecular structures, research findings, and clinical outcomes. RFS enables research systems that understand relationships across the entire drug development pipeline.

Pharmaceutical research generates vast amounts of data across molecular structures, biological pathways, clinical trials, and research papers. Traditional systems struggle to connect these disparate d...

Key Benefits

  • Molecular relationship discovery
  • Cross-study pattern recognition
  • Clinical outcome correlation
  • Research gap identification
Click to learn more →
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RFS

Incident Memory On-Call

Persistent incident memory for DevOps teams. Every incident, resolution, and post-mortem is preserved in the field with complete provenance tracking. When similar issues arise, relevant historical context surfaces automatically.

DevOps teams face the constant challenge of learning from past incidents while maintaining fast response times. Traditional incident management systems rely on keyword search and manual tagging, which...

Key Benefits

  • Complete incident history with provenance
  • Automatic context surfacing for similar issues
  • Mathematical guarantees on data integrity
  • Audit trail for compliance requirements
Click to learn more →
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RFS

RAG with Proofs

Retrieval-augmented generation with mathematical guarantees. Unlike traditional RAG that provides probabilistic results, RFS-backed RAG offers deterministic retrieval with formal provenance tracking.

Large language models excel at generating text but struggle with factual accuracy and source attribution. Traditional RAG systems retrieve documents using approximate nearest neighbor search, which pr...

Key Benefits

  • Deterministic retrieval results
  • Provenance tracking for every result
  • Mathematical guarantees on recall accuracy
  • Explainable retrieval paths
Click to learn more →
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RFS

Code Intelligence

Codebase memory that understands context, history, and relationships. RFS enables code assistants that remember not just code, but the intent, decisions, and evolution behind it.

Modern codebases are complex ecosystems where understanding context, intent, and relationships is crucial for effective development. Traditional code search tools rely on text matching and static anal...

Key Benefits

  • Contextual code understanding
  • Decision history preservation
  • Relationship mapping across codebase
  • Intent-aware code suggestions
Click to learn more →
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RFS

Compliance Legal Archive

Legal and compliance document management with immutable audit trails. Every document, version, and access is recorded with mathematical guarantees on integrity.

Legal and compliance teams require absolute certainty about document integrity, access history, and relationships between documents. Traditional document management systems provide basic versioning an...

Key Benefits

  • Immutable document history
  • Complete access audit trails
  • Integrity verification for any document
  • Regulatory compliance support
Click to learn more →
🔬
RFS

Research Knowledge Graph

Scientific research memory that connects papers, findings, and hypotheses. RFS enables research assistants that understand the landscape of knowledge and can trace claims to sources.

Scientific research generates vast amounts of knowledge, but connecting findings, hypotheses, and papers across disciplines remains a challenge. Traditional research tools rely on citation networks an...

Key Benefits

  • Connected knowledge representation
  • Claim-to-source tracing
  • Hypothesis relationship mapping
  • Research evolution tracking
Click to learn more →
🏢
RFS

Enterprise Knowledge Base

Mission-critical knowledge retrieval for regulated environments. RFS provides deterministic knowledge access with complete provenance, enabling compliance-grade knowledge management systems.

Enterprises in regulated industries require knowledge management systems that can prove the accuracy, provenance, and integrity of every piece of information. Traditional knowledge bases rely on searc...

Key Benefits

  • Deterministic knowledge retrieval
  • Complete provenance tracking
  • Mathematical integrity guarantees
  • Compliance-grade audit trails
Click to learn more →
💊
RFS

Pharmaceutical Discovery

Accelerate drug discovery with field-native memory that connects molecular structures, research findings, and clinical outcomes. RFS enables research systems that understand relationships across the entire drug development pipeline.

Pharmaceutical research generates vast amounts of data across molecular structures, biological pathways, clinical trials, and research papers. Traditional systems struggle to connect these disparate d...

Key Benefits

  • Molecular relationship discovery
  • Cross-study pattern recognition
  • Clinical outcome correlation
  • Research gap identification
Click to learn more →
🚨
RFS

Incident Memory On-Call

Persistent incident memory for DevOps teams. Every incident, resolution, and post-mortem is preserved in the field with complete provenance tracking. When similar issues arise, relevant historical context surfaces automatically.

DevOps teams face the constant challenge of learning from past incidents while maintaining fast response times. Traditional incident management systems rely on keyword search and manual tagging, which...

Key Benefits

  • Complete incident history with provenance
  • Automatic context surfacing for similar issues
  • Mathematical guarantees on data integrity
  • Audit trail for compliance requirements
Click to learn more →
📖
RFS

RAG with Proofs

Retrieval-augmented generation with mathematical guarantees. Unlike traditional RAG that provides probabilistic results, RFS-backed RAG offers deterministic retrieval with formal provenance tracking.

Large language models excel at generating text but struggle with factual accuracy and source attribution. Traditional RAG systems retrieve documents using approximate nearest neighbor search, which pr...

Key Benefits

  • Deterministic retrieval results
  • Provenance tracking for every result
  • Mathematical guarantees on recall accuracy
  • Explainable retrieval paths
Click to learn more →
💻
RFS

Code Intelligence

Codebase memory that understands context, history, and relationships. RFS enables code assistants that remember not just code, but the intent, decisions, and evolution behind it.

Modern codebases are complex ecosystems where understanding context, intent, and relationships is crucial for effective development. Traditional code search tools rely on text matching and static anal...

Key Benefits

  • Contextual code understanding
  • Decision history preservation
  • Relationship mapping across codebase
  • Intent-aware code suggestions
Click to learn more →
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Replace brittle vector stacks with deterministic memory. Get mathematical guarantees on every operation with complete audit trails.

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