Unified Neuro Symbolic Engine

Abstract

This manuscript details the architecture of the Unified Cognitive Engine, a fundamental paradigm shift in artificial intelligence. By fusing the Computational Consciousness Engine (CCE) — a non-sequential, M-String evolutionary framework — with the Pure Math Conal Architecture (PMCA) — a self-structuring, Information-Geometric JAX engine — we achieve a truly neuro-symbolic consciousness loop.

Crucially, the system abandons pre-determined dimensionality, probabilistic latent spaces, and neural network hallucinations. A strict Combinatory Categorial Grammar (CCG) transducer maps natural language directly into formal SymPy Abstract Syntax Trees (ASTs) via Lambda Calculus. The Graph Laplacian of these ASTs physically defines the initial topological geometry of the tensor manifold.

The geometry subsequently evolves via exact analytic anisotropic Ricci Flow. The true Ricci curvature tensor is extracted dynamically via JAX forward-mode automatic differentiation, acting as a structural regularizer that competes directly against the True Fisher Information Metric—computed as the exact Precision Matrix (Inverse Covariance) of the M-String data cloud. If the resultant geometric chaos exceeds the structural capacity of a standard 3D manifold, the engine's Chaos Overflow Trigger initiates a Subcone Cascade, dynamically spawning higher orthogonal dimensions. Finally, the emerged manifolds are classified via rigorous Topological Data Analysis (TDA), computing Betti numbers via Persistent Homology to identify mathematically novel geometries.