Is Hestenes's Geometric Algebra widely accepted?

Question

I would like to write a paper on the fundamentals of Continuum Mechanics using the Geometric Algebra approach popularized by David Hestenes.

Is Hestenes's Geometric Algebra a wide accepted theory? I'm concerned because this previous Math.SE Answer describes it as "somewhat controversial". Also I see a previous Physics.SE Question (now closed as off-topic) about using Geometric Algebra as a curriculum replacement for linear algebra and vector calculus received an Answer that was highly critical of its pedagogical value.

Answer 1

Yes, geometric algebra is a totally valid and accepted part of math. The proofs are correct.