# Quantum Mechanics of Individual Systems

## TL;DR

This paper proposes a formulation of quantum mechanics based on assertions for individual systems, deriving statistical predictions for ensembles, and clarifies the meaning of the quantum state to address paradoxes.

## Contribution

It introduces a new formulation of quantum mechanics focusing on individual systems and clarifies the interpretation of the quantum state.

## Key findings

- Derived statistical predictions from individual system assertions
- Clarified the meaning of the quantum state
- Addressed paradoxical features of quantum theory

## Abstract

A formulation of quantum mechanics, which begins by postulating assertions for individual physical systems, is given. The statistical predictions of quantum mechanics for infinite ensembles are then derived from its assertions for individual systems. A discussion of the meaning of the "state" of an individual quantum mechanical system is given, and an application is made to the clarification of some of the paradoxical features of the theory.