A. Kyprianidis

What happens in a spin measurement

Abstract An objective account of a Stern-Gerlach experiment performed with spin- 1 2 particles is developed in which the particles have well-defined and continuous trajectories and spin vectors, through the causal interpretation of the Pauli equation.

A causal account of non-local Einstein-Podolsky-Rosen spin correlations

We give a causal interpretation of a double Stern-Gerlach experiment on the basis of spacetime solutions to the Pauli equation. For an initial singlet state, we determine the continuous particle trajectories and spin vector orientations. The graphical results exemplify how non-local actions of the quantum potential and quantum torque give rise to a correlated evolution of dynamical variables. 1. The causal description of the Pauli spinor

Particle trajectories in relativistic quantum mechanics

Abstract The causal stochastic approach to the relativistic scalar Klein-Gordon equation is shown to preserve the time-like character of particle trajectories provided additional physical assumptions are introduced. A proposed “counterexample” reveals the essential necessary restrictions on the set of mathematical solutions of the quantum relativistic scalar equation.

Testing wave-particle dualism with time-dependent neutron interferometry

Abstract A modified version of the time-dependent neutron spinor superposition allows a possible simultaneous detection of neutron paths and intensity self-interference. Previous theoretical doubts are removed and the Einstein-de Broglie version of the wave-particle dualism now seems to be supported by Rauchs experiment.

Causal non-local character of quantum statistics

Abstract Developing Tersoff and Bayers ideas one shows that quantum statistics result from distinguishable particles correlated by causal non-local actions-at-a-distance. The difference between classical and quantum statistics thus results from the uncontrollable non-local character of stochastic interactions connecting particles imbedded in Diracs random aether.

Causal stochastic interpretation of Fermi—Dirac statistics in terms of distinguishable non-locally correlated particles

Abstract Like in the Bose—Einstein case, Fermi—Dirac statistics are shown to correspond to subquantal, causal, space—time behaviour of distinguishable particles correlated by actions-at-a-distance. This justifies the introduction of the non-local hidden parameters introduced by Bohm and Vigier in the stochastic interpretation of quantum mechanics.

A quantum potential approach to spin superposition in neutron interferometry

Abstract The causal interpretation of the Pauli equation is shown to provide an understanding of spin superposition in neutron interferometry in terms of well-defined individual particle trajectories with continuously variable spin vectors.

Stochastic physical origin of the quantum operator algebra and phase space interpretation of the Hilbert space formalism: The relativistic spin zero case

Abstract Based on a recent association of quantum observable algebra with stochastic processes in the frame of the causal stochastic interpretation of quantum mechanics, a relativistic Hilbert space is defined for the Klein-Gordon case. It is demonstrated that unitary transformations in Hilbert space reflect canonical transformations in the associated phase space, manifesting thus an underlying symplectic structure.

Energy conservation and complementarity in neutron single crystal interferometry

Abstract The complementarity principle is shown to conflict with the energy conservation laws in neutron single crystal interferometry. Its shortcomings are revealed in specific performed or proposed neutron interferometry experiments.

Distinguishability or indistinguishability in classical and quantum statistics

Abstract Contrary to a recent formulation of classical and quantum statistics in terms of indistinguishable particles it is claimed that the notion of distinguishability can account for classical as well as for quantum statistics. The resulting non-local correlations are a manifestation of a fluctuating stochastic metric which has been shown to produce the quantum potential.