EL-RAKHAWI THEORY OF ALGORITHMIC SILICON PLASTICITY AND SELF-ORGANIZING NEUROMORPHIC INTELLIGENCE A Paradigm-Shifting Academic Monograph for Engineering Self-Rewiring Silicon Architectures via Algorithmic Thermodynamic Computing, Dynamic Topological Reconfiguration, and Hardware-Level Coherence Optimization

Abstract

EL-RAKHAWI THEORY OF ALGORITHMIC SILICON PLASTICITY (ASP-SONI)Author: Dr. Mohamed Kamal Arafa El-Rakhawi A paradigm-shifting monograph reconceptualizing silicon from a rigid substrate to a dynamic, self-rewiring computational fabric that adapts its physical topology to tasks in real-time. Core innovation: The Algorithmic Silicon Plasticity Index Equation (strictly bounded [0,1]):$$\Psi_{si} = \left(\frac{\mathcal{T}_{rewire}}{\mathcal{T}_{max}}\right) \cdot \left(\frac{\mathcal{C}_{throughput}}{\mathcal{C}_{max}}\right) \cdot \left(\frac{\mathcal{E}_{ideal}}{\mathcal{E}_{dissipation}}\right) \cdot \left(\frac{\mathcal{A}_{coherence}}{\mathcal{A}_{coherence} + \mathcal{N}_{entropy}}\right)$$ This dimensionless metric quantifies algorithmic plasticity via the Algorithmic Coherence Fraction — a mathematically bounded formulation ensuring values strictly between 0 and 1. Four-layer closed-loop architecture: (1) Dynamic Topological Reconfiguration via memristive crossbars and photonic switches (<10μs); (2) Algorithmic Thermodynamic Computing harnessing thermal fluctuations and energy landscape shaping; (3) Self-Organizing Coherence Monitoring maintaining >99% logical consistency; (4) Autonomous Energy Harvesting via piezoelectric/thermoelectric systems operating within Carnot-limited bounds. Five testable predictions: (1) >99% energy reduction for dynamic workloads; (2) <10μs reconfiguration; (3) >90% theoretical throughput; (4) >99% algorithmic coherence; (5) >25% net energy reduction via thermodynamically viable heat recovery. Applications: Edge AI, data center sustainability, implantable medical devices, deep-space computing, self-healing electronics. Comprehensive IP protection: 6 original constructs attributed, Berne Convention copyright, perpetual moral rights. All rights reserved. Full citation: El-Rakhawi, M. K. A. (2026). El-Rakhawi Theory of Algorithmic Silicon Plasticity and Self-Organizing Neuromorphic Intelligence. Ismailia, Egypt.