Resonant Field Storage (RFS)
The SMARTHAUS field-native memory substrate. Associative resonance paired with AEAD-backed exact recall, governed by quantitative guardrails.
Proof-driven development
RFS exists because the math works. Every system change references a lemma, invariant, or theorem. Below are the core results and where to find the extended proofs.
Lemma 1 — Unitary Stability
Eₖ w = 𝓕⁻¹( Mₖ ⊙ 𝓕( Hₖ w ) )Encoding is energy preserving. Unitary FFT/IFFT and unit-modulus phase masks prevent energy blow-up regardless of shard composition.
Lemma 2 — Controlled Interference
|Ψ + ΔΨ|² ≤ |Ψ|² + 2⟨Ψ, ΔΨ⟩ + |ΔΨ|²Constructive resonance is bounded by the correlation between existing content and new inserts. Guardrails watch ⟨Ψ, ΔΨ⟩ to keep overlap meaningful.
Lemma 3 — Recall Error
ε_{recall} ≤ ε_{basis} + ε_{projector}Approximation error decomposes cleanly between basis quality and projector sparsity. Calibration runs tune each term before production rollout.
Lemma 4 — Capacity Headroom
η = 1 - (E_{stored} / E_{max})The efficiency metric η tracks field headroom. Auto-kill rules trip when η falls below configurable thresholds to avoid saturation.
Verification stack
Symbolic checks
- Coq scripts certify unitary operations and AEAD inversion.
- Property tests ensure ε bounds stay within contracts per release.
- Proof-of-capacity gate blocks deploys when η threatens guardrails.
Empirical validation
- FFT throughput and resonance latency measured across GPU/CPU fleets.
- Recall experiments compare associative vs. byte channel accuracy.
- Stress harness simulates worst-case saturation to tune auto-kill thresholds.
Quick links
- Resonant Field Storage WhitepaperFull derivation of the field lattice, resonance operators, and byte recall pathway.
- Proof AppendixFormal lemmas, invariants, and AEAD verification steps maintained as living mathematics.
- BenchmarksEmpirical validation of resonance speed, headroom, and recall accuracy under load.
Continue to operations
Understanding the math is step one. Next, review how RFS enforces governance, privacy, and retention requirements in production.