# Foundations of quantum physics V. Coherent foundations

## TL;DR

This paper proposes a new foundational framework for quantum physics based on coherent spaces, symmetries, and the thermal interpretation, aiming to unify quantum mechanics and quantum field theory.

## Contribution

It introduces a coherent space-based foundation for quantum physics, linking symmetries and the thermal interpretation to the structure and dynamics of quantum systems.

## Key findings

- Coherent quantum physics described via line bundles over phase space.
- Symmetries determine kinematical structure and observables.
- Ehrenfest equations govern dynamics for isolated systems.

## Abstract

This paper is a programmatic article presenting an outline of a new view of the foundations of quantum mechanics and quantum field theory. In short, the proposed foundations are given by the following statements: * Coherent quantum physics is physics in terms of a coherent space consisting of a line bundle over a classical phase space and an appropriate coherent product. * The kinematical structure of quantum physics and the meaning of the fundamental quantum observables are given by the symmetries of this coherent space, their infinitesimal generators, and associated operators on the quantum space of the coherent space. * The connection of quantum physics to experiment is given through the thermal interpretation. The dynamics of quantum physics is given (for isolated systems) by the Ehrenfest equations for q-expectations.