Geometric Algebra (GA) periodically resurfaces in online discussions as a revolutionary alternative to linear algebra and multivariable calculus. However, a detailed critique argues that while GA addresses genuine mathematical problems, its current formulation suffers from serious structural flaws and an insular culture that alienates potential adopters.

The author traces GA's lineage to Clifford Algebra and Exterior Algebra, noting that multivectors and wedge products offer legitimate insights. Yet GA's obsession with Hestenes' Geometric Product dominates the framework in ways that prove counterproductive. This singular focus creates mathematical and social problems, positioning the operation as canonical when alternative approaches might be more effective.

GA advocates often exhibit what the author describes as pseudoreligious zeal, framing rejection as institutional oppression rather than legitimate criticism. This cultural dynamic prevents necessary self-reflection and improvement, leaving GA perceived as a 'kooky, crackpottish sideshow' by mainstream mathematicians. The movement attracts enthusiasts who defend surface-level philosophy without addressing underlying structural issues.

Despite these problems, the author believes GA's core mission—making mathematics more intuitive and practical—has merit. Success requires acknowledging current limitations and fixing the relationship between GA and establishment mathematics. Without this introspection, GA remains stuck in perpetual mediocrity rather than achieving its revolutionary potential.