Spacetime Geometry of Spin, Polarization, and Wavefunction Collapse

Explore a groundbreaking approach to incorporating quantum nonlocality into general relativity in this 41-minute talk from the Workshop on "Non-regular Spacetime Geometry" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into a novel spacetime geometry where worldlines of dust particles are identified without contraction to 0-dimensional points, a concept emerging from recent studies in nonnoetherian coordinate rings in algebraic geometry. Discover how this innovative geometry leads to degenerate metrics and variable-dimension tangent spaces, implying that dust particles behave as spin-1/2 fermions satisfying the Born rule. Gain insights into how projective measurements of spin correspond to actual projections of tangent spaces with different dimensions, potentially revolutionizing our understanding of spacetime and quantum mechanics.