Epistemic Membrane Architecture
Formal analysis of Vector Symbolic Architectures (VSA) vs Transformer Latent Spaces for computational identity and truth preservation.
1. The Binding Problem: VSA vs Transformers
VSA (FHRR Complex Phase)
Binding (⊗) is algebraic and strictly invertible. Operating in D=1024 phase space, composition $A \otimes B$ guarantees perfect unbinding.
Transformer Attention
Binding is approximated via MLP/Attention contextualization. Generates nonlinear entanglement without a guaranteed inverse, causing context collapse.
2. FHRR Representation
Cortex-Persist utilizes Fourier Holographic Reduced Representations (FHRR). Hypervectors are arrays of phases distributed uniformly in $[-\pi, \pi]$.
- Dimensionality: D = 1024.
- Similarity Metric: Average cosine of phase differences.
- Signal-to-Noise Ratio (SNR): Maintains a distance of ~7.8σ against background crosstalk with K=50 superimposed elements.
3. Epistemic Immunity (T-Cells)
The immune membrane uses predefined hypervectors (T-Cells) representing ground-truth axioms. Any incoming state (B-Cell mutation) is bound and compared against the baseline. States dropping below the critical similarity threshold (0.25) are rejected as semantic drift.
Launch Membrane Simulation4. Architectural Duality: Persist vs. Swarm
CORTEX-Persist
Substrate / Immutable Truth Ledger
The absolute substrate. Evaluates if code and SOTA claims compile against thermodynamic reality. Uses strict Event Sourcing and SHA-256 cryptographic hashes to eradicate hallucinations and maintain a verifiable Ledger v1.0 of every system mutation.
CORTEX-Swarm
Distributed Execution Engine
The multi-agent orchestration layer (Cross-Swarm). Propagates autonomous fractal clusters with dynamic role assignment, Byzantine fault tolerance, and aggressive topologies (from BLITZ formations to OUROBOROS rings).
Auth Gateway: Epistemic Boundary
Fase 5 (Lossy Projection): Este nodo no asume omnisciencia. Sólo muta su estado local si la carga útil está respaldada por firmas criptográficas válidas de un Quórum Bizantino (N ≥ 2f + 1).