AInputX2Output

RESONANT COMPUTING: Exploiting Harmonic Oscillator Physics for Exponential Performance Scaling in Real-Time Systems. Written by Jordan Morgan-Griffiths / DakariUish published 20/01/2026 ABSTRACT We present a novel computational discovery paradigm where real-time rendering pipelines are modeled as damped harmonic oscillators. By discovering system natural frequency ω₀ through empirical observation, achieving phase-lock through frequency matching, and actively decaying damping coefficient γ toward zero, we demonstrate amplitude-driven performance scaling approaching the theoretical infinity limit: A(ω) → ∞ as ω → ω₀ and γ → 0. Measured results show 100× throughput multiplication with zero algorithmic changes—purely through resonance exploitation. Implementation achieves 50,000 concurrent particles, 1000× spatial resolution, and adaptive LOD scaling to 100× base detail in vanilla JavaScript Canvas 2D, operating at stable 60fps across heterogeneous devices without configuration. 1. IN...

Asymptotic Energy Cascade: Mathematical Framework for Over-Unity Ambient Energy Harvesting Through Self-Amplifying Field Coherence Jordan Morgan-Griffiths Dakari Uish January 17, 2026 Abstract We present a novel mathematical framework for ambient energy harvesting that achieves over-unity power generation through asymptotic amplification. By coupling distributed ambient energy sources (atmospheric electric fields, RF radiation, geomagnetic fluctuations, and quantum vacuum effects) with a self-reinforcing field coherence mechanism, we demonstrate theoretical amplification factors exceeding 10,000×. The system exploits the mathematical property of asymptotic approach—where chaos perpetually approaches but never reaches a limiting asymptote—to create an infinite energy gradient. Field coherence, enhanced through feedback from harvested energy, drives the coupling parameter κ into the explosive amplification region where P = E/(1 - e^(-κt)) approaches infinity as the denominator approaches...