PGA Ep 4 : The Forque Awakens

[@eelcohoogendoorn8044]

Im about as giddy as my kids on Christmas and Sinterklaas combined. I bought your book as a starving student more than a decade ago despite not caring at all about physical books, being able to appreciate its elegance having always toyed with physics engines and raytracers. Life took me in other directions so I never really got to put it into practice. But this F = f dot X thing just blew my mind all over again. Ive got these videos; JAX as a mature and stable differentiating compiler; some cool ideas about physics and their application. Oh, and plenty of time to play around with them. Sometimes it feels like things only get worse with age; but i'm feeling quite hopeful about 2022. First, let me order one of those hats though.

[@abenedict85]

This was fantastic!

[@Klarpimier]

How would you code the inertia duality map using the clifford python module

[@thegozer100]

This is amazing! The way force and torque are combined so elegantly just blows my mind. It almost makes Newtonian physics seem naive

[@richardneifeld7797]

Wow. Now I want to see qm, special, and genl relativity defined in PGA. Are there resources anywhere for that?

[@AkamiChannel]

There's a lot of stuff on STA (spacetime algebra) if you search for it. If you're interested in quantum physics stuff, search for Cohl Furey's work/videos and possibly John Baez. Some Chinese researchers last year published a paper on using the sedenions to build qft.

[@AkamiChannel]

GR I would also be interested in seeing. Seems doable as GR is just tensor algebra and the electromagnetic field tensor.

[@richardneifeld7797]

@@AkamiChannel HR requires tensor calculus, and in a space with intrinsic curvature. Mathematically messy, and beyond my level of competence and bandwidth. Please publish if you hear of anyone exploring PGA for that.

[@stephanevernede8107]

Is there a way to keep track if a multivector is created from a meet or a join ?

[@BrynSCat]

Has "The Particle problem in General Relativity"(Static charge) never been explained with PGA or CGA, this would be like Superfluid vacuum theory (SVT) ?Its how the speed of light is not a postulate but a consequence of the geometry.

[@angeldude101]

I don't know about that particular problem since I'm not a physicist, but I would recommend taking a look at Spacetime Algebra (STA) which was pretty much designed for advanced physics applications by including an explicit time dimension.

[@BrynSCat]

@@angeldude101 thanks I think this is what I was looking for

[@buttonasas]

The witty pictures are quite distracting. Usually, pictures are included to make abstract concepts familiar with concrete objects and these jokes completely flip my expectation over :D