Information-Causality Field and the Unified Field Theory Based on 11-Dimensional T^3 Torus Fractal Geometry -- Paper VIII: Dual-Layer Topological Neuromorphic and Signal Processing Architecture: Z_N Phase-Ring Hardware Isomorphism and Integrated Poin

We present an open-source foundational reference architecture for non-von Neumann neuromorphic and signal-processing computing, derived as a hardware isomorphism of T^3 x Z_N topological modular field theory. The system integrates two co-executing logic layers on a Processing-In-Memory (PIM) substrate: (1) a lower Phase-Ring Arithmetic Logic that maps continuous U(1) phase signals onto discrete modular integer rings Z_1024 (10-bit) and Z_2048 (11-bit), replacing conventional FP32 Multiply-Accumulate (MAC) logic with 1-clock integer phase addition utilizing natural 2's complement register overflow (1023 + 1 ≡ 0 (mod 1024)); and (2) an upper Tripartite Point-Line-Plane (PLP) Engine executing a unified operator equation with explicit ergodic entropy summation ∑ S_entropy^(k). We demonstrate that the PLP Point-stage Dirac localization operator δ(x - x_0) and Banach contraction mapping contract multi-dimensional phase spaces directly into deterministic 1D SRAM Lookup Table (LUT) word-line addresses, enhancing memory indexing efficiency. While reliance on lookup tables and register arrays naturally limits this architecture to specialized, domain-specific processing rather than universal general-purpose computing, the underlying phase-ring addition offers an estimated ultra-low-power arithmetic baseline (≈0.015 pJ/op at the logic gate level). Complete logic mechanics, mathematical proofs, and quantitative performance predictions are established.