Remarks on the Measurement of Discrete Physical Quantities

Arthur I. Miller

Opening Remarks.- Imagery, Probability and the Roots of Werner Heisenberg's Uncertainty Principle Paper.- Against An Exposition of Bell's Theorem.- Wave-Particle Duality: A Case Study.- Sein Kann Was Nicht Sein Darf, Or the Prehistory of the EPR, 1909-1935: Einstein's Early Worries About the Quantum Mechanics of Composite Systems.- to Two-Particle Interferometry.- A New View on the Uncertainty Principle.- Measurement Problems in Quantum Field Theory in the 1930's.- On the Collapse of the Wave Function.- Old and New Ideas in the Theory of Quantum Measurement.- Toward a Relativistic Theory of Statevector Reduction.- The Breakdown of the Superposition Principle.- Mathematical and Philosophical Questions in the Theory of Open and Macroscopic Quantum Systems.- Induced Nonlinear Time Evolution of Open Quantum Objects.- Quantum Logic: A Summary of Some Issues.- Remarks on the Measurement of Discrete Physical Quantities.- Some Comments and Reflections.- Invited Lecturers.

Jean-Louis Basdevant

Enrico G. Beltrametti, Gianni Cassinelli, PEKKA J. LAHTI

The pure measurements of discrete physical quantities are characterized within quantum theory of measurement and their unitary representations are given. Probabilistic aspects of measurements related to the so-called strong correlation conditions and a probabilistic characterization of the first kind measurements are examined. The problem of the objectification of the measurement result is analyzed in terms of a classical behavior of the measuring apparatus. As a by-product a generalization of the Wigner–Araki–Yanase theorem is given.

Wolfgang Ernst Friederich Pauli

Martin Leckey

This paper presents a new modified quantum mechanics, Critical Complexity Quantum Mechanics, which includes a new account of wavefunction collapse. This modified quantum mechanics is shown to arise naturally from a fully discrete physics, where all physical quantities are discrete rather than continuous. I compare this theory with the spontaneous collapse theories of Ghirardi, Rimini, Weber and Pearle and discuss some implications of the theory for a realist view of the quantum realm.

K. A. Tsokos