How is the geometric product any less motivated than any other notation? Ultimately the value of a notation is how easy it makes it to work and think. I'm not sure if GA achieves that or not, but what's the harm in trying a new approach?

AFAIK nobody is proposing to replace all of geometry with GA, only 3+1 spacetime.

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SonOfLilit 4 hours ago | parent | next [-]

Author doesn't argue against the idea of choosing a new notation, he makes very detailed arguments about why this specific new notation is clumsy to work with.

	▲	zarzavat 3 hours ago \| parent [-]
		Yes but my point is that their argument is undermined by the extreme clumsiness of standard mathematical physics notation. I don't believe GA is the best possible notation for physics but it could be a stepping stone. We need more people who explore such things rather than more people who call each other crackpots.

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groundzeros2015 4 hours ago | parent | prev [-]

I’m just refuting the claim that the article only focuses on ad hominem arguments.