Space-Time-Matter: Finite Projective Geometry as a Quantum World with Elementary Particles - a podcast by Michael Haack

A unified theory for space-time and matter might be based on finite
projective geometries instead of differentiable manifolds and gaugegroups. Each point is equipped with a quadratic form over a finite Galois field which define neighbors in the finite set of points.
Due to the projective equivalence of all quadratic forms this worldis necessarily a 4-dimensional Lorentz-invariant space-time with a
gauge symmetry G(3)xG(2)xG(1) for internal points which represent elementary particle degrees of freedom. Matter appears as ageometric distortion by an inhomogeneous field of quadrics and all
physical properties (spins, charges) of the standard model seem tofollow from its geometric structure in a continuum limit. The finiteness inevitably induces a fermionic quantization of all matter fields
and a bosonic for gauge fields. This unity of space-time and matterwas already sought 1918 by Hermann Weyl in a gauge theory as an
extension of Einstein’s general theory of relativity, but not found -probably because of the assumption of a continuous geometry.

Further episodes of Sommerfeld Theory Colloquium (ASC)

Further podcasts by Michael Haack

Website of Michael Haack