Need for "special" states in a deterministic theory of quantum mechanics

TL;DR

This paper discusses the necessity of 'special' states in deterministic interpretations of quantum mechanics, proposing that such states arise under certain assumptions and can be experimentally tested.

Contribution

It identifies conditions under which 'special' states must exist in deterministic quantum theories and provides an example and an experimental test for these states.

Findings

Existence of 'special' states implied by deterministic theories and conservation laws.

An example of a 'special' state is provided.

Proposes an experimental test for the 'special' state theory.

Abstract

There are several theories or processes which may underlie quantum mechanics and make it deterministic. Some references are given in the main text. Any such theory, plus a number of reasonable assumptions, implies the existence of what I have called ``special" states. The assumptions are conservation laws, obedience (up to a point) of Schrodinger's equation, and a single world, in the sense of the many worlds interpretation (the last one a consequence of any deterministic theory). This article also, for clarity, gives an example of a ``special" state. There is an experimental test of the ``special" state theory.