The case against geometric algebra (2024)

# Summary The author argues that while Geometric Algebra (GA) addresses real problems in mathematics, it is fundamentally flawed and hindered by an overly zealous community that refuses to acknowledge its weaknesses. The core issue is that GA's obsession with Hestenes' geometric product as a canonical framework is mathematically unjustified and makes the theory less compelling than it could be. The author contends that GA remains a marginal "kooky sideshow" because its advocates operate with pseudoreligious fervor rather than critical self-awareness, perpetuating a cycle where new converts accept the framework uncritically instead of addressing its underlying structural problems.