Does Quantum Mechanics Rule Out Free Will?

Ignacio Cirac, Adolfo Plasencia

Zhen Su

The Born rule stands as the fundamental probability postulate of quantum mechanics, yet its first-principle derivation remains a longstanding open problem. This paper presents a rigorous, collapse-free, and observer-independent derivation of the Born rule. Starting from four physically natural and minimal axioms—unitary dynamics, uniqueness of classical records, unitary invariance, and consistency with the classical limit and ergodicity—we uniquely deduce the Born rule from first principles. We prove that the Born rule is not an independent postulate, but a necessary mathematical consequence of the core axiomatic structure. Our approach is self-contained, assumption-free, and purely unitary, establishing that the Born rule is canonically determined by the fundamental mathematical and physical principles of quantum mechanics.

Zoran Rakić, Slobodan Prvanović

The product of quantum mechanics is defined as the ordinary multiplication followed by the application of superoperator that orders involved operators. The operator version of Poisson bracket is defined being the Lie bracket which substitutes commutator in the von Neumann equation. These result in obstruction free quantization, with the ordering rule which coincides with Weyl ordering rule.

Valia Allori

Kay-Kong Wan

A precise formulation of superselection rules in quantum mechanics is presented. An explicit measurement model is then constructed using the idea of superselection rules so formulated. The model is free from the usual difficulties associated with the projection postulate and it also allows a measurement to be completed within finite time interval.

Henry Pierce Stapp