Classical (ontological) dual states in quantum theory and the minimal group representation Hilbert space

TL;DR

This paper explores how classical states emerge from quantum theory through dual states and minimal group representations, revealing that classicalization is achieved via the Mp(2) group symmetry, challenging the notion of hidden variables.

Contribution

It introduces a framework where classical states in quantum theory are understood as dual states and demonstrates how the minimal group representation leads to classicalization via Mp(2) symmetry.

Findings

Classical states are dual to quantum states in a classical-quantum duality.

Minimal group representation, specifically Mp(2), induces classicalization of quantum systems.

The approach clarifies the classical aspects of quantum theory without hidden variables.

Abstract

We investigate the classical aspects of Quantum theory and under which description Quantum theory does appear Classical. Although such descriptions or variables are known as "ontological" or "hidden", they are not hidden at all, but are dual classical states (in the sense of the general classical-quantum duality of Nature). The application of the Minimal Group Representation immediately classicalizes the system, Mp(2) emerging as the group of the classical-quantum duality symmetry. (Abridged)