this post was submitted on 01 Mar 2026
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Yes exactly, in an anarchist society I wouldn't stop doing control¹ theory, I would do even more control theory because I wouldn't have to worry about publishing profitable results, because I'm autistic and for some reason, math makes me happy.
¹ Control of dynamical systems, e.g. steering the state of a differential equation, i.e. math, not authoritarian control 😁
Hey another anarchist engineer spotted in the wild!
And hey at least control theory tends to have practical applications. I keep wanting to write basically a whole dynamics and statics textbook but where the formulas are extended to non-Euclidean spaces. Not just to like hyperbolic and parabolic geometry but to even more exotic metric spaces that aren’t locally Euclidean or necessarily continuous.
Not much use for that kind of math whatsoever, but it’s fun
What part of control theory are you focused on?
Check out the book Mathematical Control Theory: Deterministic Finite-Dimensional Systems by Eduardo Sontag. A lot of his results take place in general metric spaces. Make sure to read the Appendix first, because this dude is absolutely next-level with the math. You'll see.
You might also want to check out Infinite-Dimensional Systems Theory by Curtain and Zwart for an account of linear systems theory developed for separable Hilbert spaces. And for nonsmooth control, check out Nonsmooth Analysis And Control by Francis Clarke.
So you might need to blend a couple existing ideas together. Give it a shot!
Immediately, I think it would have uses in quantum computing (where the state space can be an infinite-dimensional Hilbert space) and fluid dynamics (which are governed by partial differential equations, which can be represented as abstract differential equations on suitable function spaces).
PM me for more details since I don't wanna doxx myself, but my interest is in nonlinear high-dimensional dynamical systems.
I have a control theory question unrelated to this post. Can I ask you in DMs?
Yup!