A realistic and deterministic description of a quantum system

TL;DR

This paper proposes a deterministic framework for quantum systems by augmenting the quantum state with additional labels and functions, aiming to provide a complete, measurement-independent description consistent with quantum mechanics.

Contribution

It introduces a new deterministic model for quantum systems that includes additional parameters to fully specify states and their evolution, extending the standard quantum formalism.

Findings

Quantum states are described by augmented labels and functions.

The model reproduces quantum mechanical probabilities through parameter variation.

Quantum evolution can be extended to include the additional parameters.

Abstract

From the analysis of the measurement process we make the hypothesis that we have to add to the quantum state psi a label z and a special function alpha in order to describe completely the preparation of a (pure) quantum system . Given such a terne every observable A receives a univocal value . Therefore all physical quantities of the system are well defined independently from the measuring process. Making the unknown parameter z to vary in its space we get the probabilities prescribed by quantum mechanics.We show also that every evolution of quantum states can be extended to an evolution of the ternes.