.@michael_nielsen and @shancarter have you heard of Hestenes’ geometric algebra? https://en.wikipedia.org/wiki/Geometric_algebra … Primitive that was there all alonghttps://twitter.com/michael_nielsen/status/937936393027719168 …
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Yes, I know geometric algebra. Do you happen to know of any reasonably deep results which are better expressed in terms of geometric algebra than not?
An analogous situation: I was somewhat skeptical of ideas like the exterior calculus until I saw it used to greatly simplify the Maxwell equations (and other gauge theories).
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I'd love to know of a similar change in worldview enabled by geometric algebra. (Here's a general gauge theory written using the exterior derivative and Hodge-*. Way nicer, in many ways, than the standard Maxwell equations.)pic.twitter.com/WEG93RAaDn
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In R(1,3) (clifford spacetime algebra) the maxwell equations reduce to a single one : (F is a bivector, J a vector). For much, much more see Hestenes "New foundations for classical mechanics".pic.twitter.com/1UHu2LfJMr
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