Speaker
Zachary Gunther
Description
Geometric algebra provides a natural extension of vector geometry that unifies rotations, boosts, and spinors within a single geometric framework. Starting from rotations in physical space, rotors emerge as the fundamental objects encoding orientation and transformation. This structure extends seamlessly to spacetime, where Lorentz boosts appear on equal geometric footing with spatial rotations. Within this language, spinors arise as concrete geometric entities associated with mass and motion rather than abstract algebraic constructs. The Lorentz spinor is introduced to establish the geometric foundation for a constructive formulation of relativistic quantum theory and, ultimately, particle physics.
Author
Zachary Gunther