Stochastic Interpretation Of Quantum Mechanics Research Articles

Positive energy/positive probability density association in second-order fermion theories

It is shown that in the frame of second-order fermion theories positive energy densities are associated with positive probability densities by using the symmetry properties of the Feynman-Gell-Mann equation, in agreement with the basic assumptions of the stochastic interpretation of quantum mechanics. A relation to the solutions of the Dirac equation is furthermore established.

Elimination of negative probabilities within the causal stochastic interpretation of quantum mechanics

Negative probabilities resulting from the Klein-Gordon equation are eliminated from quantum theory within the stochastic interpretation of quantum theory (SIQM) for spin-zero particles. The assumption of real physical paths in E 4 implies that only particles (antiparticles) of positive energies move forward in time with positive probability densities.

AH-theorem in the causal stochastic interpretation of quantum mechanics

In this letter we show thata) the Guerra-Ruggiero-Vigier stochastic deduction of the Klein-Gordon equation rests essentially on the nonlocal character of the assumed fluctuations tied to the particle-antiparticle mixture in the vacuum, andb) the quantum-statistical distributions result essentially from a corresponding Markov-type ofH-theorem

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

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.

Stochastic mechanics of mixed states

Nelson's stochastic interpretation of quantum mechanics is extended from the case of pure states to that of mixed states. It is shown that a pure probabilistic formalism, which applies the Newton-Nelson law to the initial position and velocity distributions, does not reproduce the time evolution predicted by quantum mechanics. In order to recover the latter, a new notion must be introduced, that of pure quantum states, over which the mixture has to be decomposed, and which then satisfy the Newton-Nelson law independently.

Stochastic interpretation of potential scattering in quantum mechanics

We generalize Shucker's result on the asymptotically-classical behaviour of the quantum system with zero potential in Nelson's stochastic interpretation of quantum mechanics to the case of the one-dimensional potential scattering.

Causal action-at-a-distance interpretation of the aspect-Rapisarda experiments

Recent results in EPR-type experiments on singlet photon pairs which establish (a) the non-existence of local hidden variables, (b) the existence of quantum superluminal correlations between the action of independent parts of a measuring device separated by space-like intervals, are interpreted causally within the frame of the stochastic interpretation of quantum mechanics.

De Broglie's wave particle duality in the stochastic interpretation of quantum mechanics: A testable physical assumption

If one starts from de Broglie's basic relativistic assumptions, i.e., that all particles have an intrinsic real internal vibration in their rest frame, i.e., hv0=m0c2; that when they are at any one point in space-time the phase of this vibration cannot depend on the choice of the reference frame, then, one can show (following Mackinnon(1)) that there exists a nondispersive wave packet of de Broglie's waves which can be assimilated to the nonlinear soliton wave U0 introduced by him in his double solution model of wave mechanics.(2) Since de Broglie's linear pilot waves can be considered to be real waves propagating as collective motions on a covariant subquantum chaotic “aether,”(3) these new solition waves can be considered as describing the particle's immediate neighborhood, i.e., the aether's reaction to the particle's motion in the stochastic interpretation of quantum mechanics. The existence of such a physical aether (which provides a perfectly causal interpretation of the action-a-distance implied by the Einstein-Podolsky-Rosen experiments) can now be proved by establishing the reality of de Broglie's waves in realizable experiments.

Action-at-a-distance and causality in the stochastic interpretation of quantum mechanics

Action-at-a-distance and causality in the stochastic interpretation of quantum mechanics

Possible experimental test of the causal stochastic interpretation of quantum mechanics: Physical reality of de Broglie waves

Mandel and Pfleegor have shown the existence of interference effects produced by the superposition of two independent single-mode lasers even under conditions in which one photon is absorbed before the next is emitted by one or the other source. We propose here a modification of their experiment which would establish (if the interferences persist) the simultaneous existence of waves and particles (photons), a result which is assumed as basis by the stochastic interpretation of quantum mechanics.

The generalized F�nyes-Nelson model for free scalar field theory

The generalized Fényes-Nelson model of quantum mechanics is applied to the free scalar field. The resulting Markov field is equivalent to the Euclidean Markov field with the times scaled by a common factor which depends on the diffusion parameter. This result is consistent with Guerra's earlier work on stochastic quantization of scalar fields. It suggests a deep connection between Euclidean field theory and the stochastic interpretation of quantum mechanics. The question of Lorentz covariance is also discussed.

Relativistic Brownian motion and the foundations of quantum mechanics

Within the context of the generalized stochastic interpretation of quantum mechanics it is possible to deduce the quantum principles as well as to resolve the EPR paradox. Moreover, the postulates of the stochastic space-time as proposed by Fredericket al. can be deduced in a consistent way. A new possibility arises of rethinking of the existence of hidden variables in quantum mechanics.

A dynamical theory of Markovian diffusion

A dynamical treatment of Markovian diffusion is presented and several applications discussed. The stochastic interpretation of quantum mechanics is considered within this framework. A model for Brownian movement which includes second order quantum effects is derived.

The stochastic interpretation of quantum mechanics: A reply to Ghirardiet al.

The stochastic interpretation of quantum mechanics: A reply to Ghirardiet al.

The stochastic interpretation of quantum mechanics: A critical review

The stochastic interpretation of quantum mechanics: A critical review

Hypothesis on the foundation of stochastic interpretations of quantum mechanics

The hypothesis that a particle exists in a cavity space in thermal equilibrium with photons and executes a Brownian motion is due to collisions with the photons leads to a realistic stochastic interpretation of quantum mechanics.