OPEN HARDWARE RESEARCH BLOG / Electronics · Silicon
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First-principles engineering, hardware heritage, and interactive silicon simulations.

Recent Research Dispatches

Deep physical derivations and interactive simulations across silicon history.

Silicon & Architecture Midday Architecture

The Shockley Diode & The PNPN Negative Resistance Anomaly

First Principle: Charge carrier avalanche injection across a reverse-biased PN junction enables regenerative current gain exceeding unity (α1+α2≥1α1+α2≥1</annotation></semantics></math></span><spanclass="katex−html"aria−hidden="true"><spanclass="katex−base"><spanclass="katex−strut"style="height:0.7333em\alpha_1 + \alpha_2 \ge 1</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="katex-base"><span class="katex-strut" style="height:0.7333em;vertical-align:-0.15em;">α1​+α2​≥1), triggering abrupt negative dynamic resistance and bistable latching.

Foundations & Physics Dawn Blueprint

Maxwell's Displacement Current & The Electrodynamic Wave Continuum

First Principle: A time-varying electric field produces a curl magnetic field identical to a physical conduction current: ∇×B⃗=μ0(J⃗+ε0∂E⃗∂t)∇×B⃗=μ0(J⃗+ε0∂E⃗∂t)\nabla \times \vec{B} = \mu_0(\vec{J} + \varepsilon_0 \frac{\partial \vec{E}}{\partial t}), ensuring uninterrupted continuity of electric charge across dielectric boundaries.