Quantum bundles and quantum interactions

TL;DR

This paper introduces a geometric framework using quantum bundles to describe quantum particles on curved backgrounds, generalizing quantum field theory locally and potentially aiding in understanding quantum physics in curved spacetime.

Contribution

It develops a novel geometric approach with quantum bundles that reproduces standard quantum field theory results in flat spacetime and extends to curved backgrounds.

Findings

Reproduces basic quantum field theory results in flat spacetime.

Provides a local, linearized description of quantum physics on curved backgrounds.

Establishes a geometric framework for quantum particles in curved spacetime.

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.