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Quantum bundles and quantum interactions

Daniel Canarutto
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Abstract

A geometric framework for describing quantum particles on a possibly curved background is proposed. Natural constructions on certain distributional bundles (`quantum bundles') over the spacetime manifold yield a quantum ``formalism'' along any 1-dimensional timelike submanifold (a `detector'); in the flat, inertial case this turns out to reproduce the basic results of the usual quantum field theory, while in general it could be seen as a local, ``linearized'' description of the actual physics.

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Daniel Canarutto. 2006-02-17. Quantum bundles and quantum interactions. https://arxiv.org/abs/math-ph/0506058

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