Resolution of the Completeness Problem

Jeffrey Bub

Zhen Su

We present a complete, mathematically rigorous, and observer-free resolution of the quantum measurement problem. Building entirely on the axiomatic framework established in the preceding work, which derives the Born rule exclusively from unitary dynamics, uniqueness of classical records, unitary invariance, and ergodic stability, we show that the entire measurement process is governed by a single deterministic law: unitary evolution. The apparent wavefunction collapse is not a physical process but an effective description of the emergence of a unique dynamically stable classical record under decoherence and unique ergodicity. No auxiliary postulates, collapse mechanisms, or observer-dependent inputs are required. We explain the origin of definite measurement outcomes, the emergence of objective probability, the elimination of quantum-classical duality, and provide a fully consistent resolution of the Wigner’s friend paradox. The framework reproduces all experimental predictions of quantum mechanics without contradictions and establishes a unified, self-contained foundation for quantum measurement theory. This work constitutes the first complete, minimal, and mathematically closed solution to the quantum measurement problem.

Dick J. Hoekzema

Yoon A Limsuwan

Yousefi

AbstractThis paper addresses the quantum measurement problem using a fully deterministic framework. In this approach, the measurement process is predictable and unambiguous. Analytical considerations and numerical examples validate the method, demonstrating that system behavior can be described with complete predictability.

Jan Hamhalter