# On a deterministic disguise of orthodox quantum mechanics

## TL;DR

This paper proposes a deterministic interpretation of quantum mechanics where the global phase of the state vector acts as a hidden variable, allowing the prediction of measurement outcomes rather than just probabilities.

## Contribution

It introduces a framework where the quantum state vector's global phase determines measurement results, providing a deterministic perspective parallel to classical mechanics.

## Key findings

- Global phase acts as a hidden variable in quantum states.
- Measurement outcomes can be predicted deterministically with known initial states.
- The approach parallels classical statistical mechanics in its determinism.

## Abstract

According to quantum theory, pure physical states correspond to equivalence classes of state vectors, where any two members of one class differ by a complex factor. The point is that such a factor does not change the probability for the occurrence of any measurement result as computed within the formalism of quantum mechanics. In the formalism to be presented here, the state vector does not only determine the probabilities for the occurrence of measurement results, rather it determines the result itself. The information which guides the selection process is obtained from the state vector in a way that is not invariant against multiplication by a complex factor. It can be seen as a kind of global phase of the state vectors. This global phase then is a perfectly hidden variable. For this presentation of quantum mechanics we have a remarkable parallelism to classical statistical mechanics: If we would know exactly the initial state of a system, we could compute the outcomes for all experiments to be done later on this system. In the quantum case the initial state is to be represented by its state vector with specified phase, e.g. as a concrete complex-valued wave function.