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math-ph2025
Pairs of Subspaces, Split Quaternions and the Modular Operator
Jan Naudts, Jun Zhang
We revisit the work of Rieffel and van Daele on pairs of subspaces of a real Hilbert space, while relaxing as much as possible the assumption that all the relevant subspaces are in…
math-ph2024
Duality of quantum geometries
Jan Naudts
Quantum connections are defined by parallel transport operators acting on a Hilbert space. They transport tangent operators along paths in parameter space. The metric tensor of a R…