AT4 - Geometric Calculus in Gravity Theory |
Speaker_ |
Hestenes, David |
Talk _ |
Gauge Gravity and Real Quantum Mechanics |
Abstract _ |
Reformulation of the Dirac equation in terms of the real Spacetime Algebra (STA) reveals hidden geometric structure, including a geometric role of the unit imaginary as generator of rotations in the spacelike plane of electron spin. The STA and the real Dirac equation play essential roles in a new Gauge Theory Gravity (GTG) version of General Relativity (GR). Besides clarifying the conceptual foundations of GR and facilitating complex computations, GTG opens up new possibilities for a unified gauge theory of gravity and quantum mechanics, including spacetime geometry of electroweak interactions. Geometric Calculus website: http://modelingnts.la.asu.edu/ |