Mathematician Alex Kritchevsky takes issue with Geometric Algebra's central claim to fix linear algebra and multivariable calculus. In an article published this morning, he argues that while GA has merit, the field suffers from fundamental flaws—particularly an obsession with Hestenes' Geometric Product as the foundation for all geometry. Kritchevsky contends the GA community treats this approach with zealotry rather than rigor, hindering adoption and misrepresenting mathematical reality. He advocates for extracting GA's useful concepts—multivectors and the wedge product—without the dogmatism.

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