Abstraction's End

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Hovertips are formatted like this (hover over me)$S$Quantum electrodynamic

action functional $= \displaystyle\int \psi^\dagger \gamma^0(i$$\gamma^\mu$Dirac matrices$D_\mu$gauge covariant

derivative$- m)\psi$

$\displaystyle-\frac{1}{4}$$\displaystyle F^{\mu\nu}$electromagnetic

field tensor$\displaystyle F_{\mu\nu}\ d^4x $, and offer media elements or small bits of extraneous information. .

action functional $= \displaystyle\int \psi^\dagger \gamma^0(i$$\gamma^\mu$Dirac matrices$D_\mu$gauge covariant

derivative$- m)\psi$

$\displaystyle-\frac{1}{4}$$\displaystyle F^{\mu\nu}$electromagnetic

field tensor$\displaystyle F_{\mu\nu}\ d^4x $, and offer media elements or small bits of extraneous information. .

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Endnotes are indexed with Arabic numerals (1, 2, 3, ...) which serve as bidirectional links to and from their location at the bottom of the page.

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Graduate student in mathematics; in that regard I primarily focus on category theory and mathematical physics. This is mostly a diversion from my real interest, which is, roughly speaking, a study of "intelligent organization", as includes not just human and machine intelligence, but things like language, social structure, principles of evolution, and so on.

I cannot look at anything without attempting to abstract it - to ask what general principles it is based on, implements, or derives from - thus did I go from physics to mathematics to abstract algebra to category theory, only to bottom out and realize that further "abstractions" were _adding_ conceptual overhead rather than _removing_ it; thus did I end up completely on my own, left alone (_made free_) to discover what came next for myself. This site will contain my answer. I believe it is the _final_ answer - the end of abstraction.

!hoverdrag~hoverdrag test~$\displaystyle \nabla \times {\mathbf E} = -\frac{\partial {\mathbf B}}{\partial t}$~ !hoverdrag~click me 2~!c{$\mathbf E$}{electric field}, !c{$\mathbf B$}{magnetic field} $:$ !c{$\mathbb R^3$}{spatial point $\vec p$} $\times$ !c{$\mathbb R$}{time $ t$} $\to$ !c{$\mathbb R^3$}{field vector at point $ \vec p$, time $ t$}~

I built this site from scratch, writing everything from the nginx configuration file to (almost) every single line of HTML/(S)CSS/JS. It's the first website I've actually built, and I plan to start over soon now that I know the basic principles well enough to fully plan the design ahead of time.

My plan for the rewrite originally included some basic preprocessing so I didn't have to copy the common html head to every single file (though I figured out how to do that with server-side inclusions); naturally, this aggressively expanded into a plan for creating and implementing a sort of "transcendental preprocessing schema"