
I develop the spectral point of view on geometry based on the formalism of quantum physics. Starting from the simple physical question of specifying our position in space I explain how the spectral geometric point of view provides a new paradigm to model space-time whose fine structure can be encoded by a finite geometry. The classification of the irreducible finite geometries of KO-dimension 6 singles out a `symplectic--unitary" candidate F, which when used as the fine texture of space-time delivers from pure gravity on M x F the Standard Model coupled to gravity and, once extrapolated to unification scale, gives testable predictions.
room 318, Theresienstr. 37