The quantum formulation derived from assumptions of epistemic processes

TL;DR

This paper develops a general epistemic framework for quantum mechanics inspired by Quantum Bayesianism, deriving the Hilbert space formalism from assumptions about knowledge and symmetry.

Contribution

It introduces a symmetric epistemic setting and derives the Hilbert space formalism from epistemic assumptions, offering a foundational perspective on quantum mechanics.

Findings

Hilbert space formalism derived from epistemic assumptions

Symmetry and complementarity as core features

Framework inspired by Quantum Bayesianism

Abstract

Motivated by Quantum Bayesianism I give background for a general epistemic approach to quantum mechanics, where complementarity and symmetry are the only essential features. A general definition of a symmetric epistemic setting is introduced, and for this setting the basic Hilbert space formalism is arrived at under certain technical assumptions. Other aspects of ordinary quantum mechanics will be developed from the same basis elsewhere.