The Complete Structural Selection Corpus

Name: The Complete Structural Selection Corpus
Author: Akram Hassan

eq:AAA_summary_box

Equation AAA_summary_box

\boxed{ \begin{aligned} \text{Matter} &\Rightarrow \rho,\mathbf{v} \Rightarrow \mathbf{J}=\rho\mathbf{v},\\ C_D[\Psi]=1 &\Rightarrow \nabla\cdot\mathbf{J}\approx 0 \Rightarrow \text{circulation},\\ \text{circulation + memory} &\Rightarrow \mathbf{B}=\nabla\times\!\int_0^t K_B\,\mathbf{J}\,d\tau,\\ \nabla\cdot\mathbf{B}=0 &\Rightarrow \text{no monopoles, closed field lines},\\ \boldsymbol{\mu}=\tfrac12\!\int \mathbf{x}\times\mathbf{J}\,d\mathbf{x} &\Rightarrow \boldsymbol{\mu}\propto \mathbf{L},\\ \mathbf{F}_{\mathrm{mag}}=\kappa\,\mathbf{v}\times\mathbf{B} &\Rightarrow \mathbf{F}\cdot\mathbf{v}=0 \;\text{(no work)}. \end{aligned}}

Source

Gravity as a Temporally Closed Dynamical Phase/51_ppendix AAA — Magnetism as Historical Matter Closure.tex