Stochasticity in Nature, and Its Consequences

J. C. Aron

J.A.J. van Leunen

The stochastic nature of quantum physics can best be comprehended by shifting to another space-progression model. This other model is called a paginated space-progression model and uses a universe wide time clock that ticks synchronously at the location of all observable items/events. As a consequence this model proceeds with universe wide progression steps from each static status quo to the next one. A straight forward consequence is that the whole universe is recreated at every progression step. This recreation is used to explain the stochastic structure of elementary particles.

Zahid Zakir

Nelson's stochastic mechanics is derived as a consequence of the basic physical principles such as the principle of relativity of observations and the invariance of the action quantum.The unitary group of quantum mechanics is represented as the transformations of the systems of perturbing devices.It is argued that the physical spacetime has a stochastic nature and that quantum mechanics in Nelson's formulation correctly describes this stochasticity.

Ilya Prigogine

Salgado, D., J. L. Sánchez‐Gómez

We consider the simple hypothesis of letting quantum systems have an inherent random nature. Using well-known stochastic methods we thus derive a stochastic evolution operator which let us define a stochastic density operator whose expectation value under certain conditions satisfies a Lindblad equation. As natural consequences of the former assumption decoherence and spontaneous emission processes are obtained under the same conceptual scheme. A temptative solution for the preferred basis problem is suggested. All this is illustrated with a comprehensive study of a two-level quantum system evolution.

Cécile DeWitt-Morette