On Quantum Systems with Non-deterministic Yet Non-random Outcomes and Their Potential Link with the Emergence of a Genuine Freedom of Choice

In this short paper, we propose a special class of quantum systems with implicit quantum uncertainties without any probability structure followed by the dynamical behavior of the systems. When a system is deterministic or random, it does not capture the essence of freedom of choice (FOC), which is the ability to make decisions followed by one’s preferences, free from both deterministic and random outcomes. The proposed special class of quantum systems contains non-deterministic yet non-random outcomes, and so they open the possibility of having FOC within the systems. We also examine examples of such a special class of quantum systems that do not violate the postulates of quantum mechanics.