# Interference of probabilities in dynamics

## Abstract

A new class of dynamical systems with a preset type of interference of probabilities is introduced. It is obtained from the extension of the Madelung equation by replacing the quantum potential with a specially selected feedback from the Liouville equation. It has been proved that these systems are different from both Newtonian and quantum systems, but they can be useful for modeling spontaneous collective novelty phenomena when emerging outputs are qualitatively different from the weighted sum of individual inputs. Formation of language and fast decision-making process as potential applications of the probability interference is discussed.

- Authors:

- Jet Propulsion Laboratory California Institute of Technology, Pasadena, CA 91109 (United States)

- Publication Date:

- OSTI Identifier:
- 22299758

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Advances; Journal Volume: 4; Journal Issue: 8; Other Information: (c) 2014 Author(s); Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 36 MATERIALS SCIENCE; BOLTZMANN-VLASOV EQUATION; DECISION MAKING; INTERFERENCE; SIMULATION

### Citation Formats

```
Zak, Michail, E-mail: michail.zak@gmail.com.
```*Interference of probabilities in dynamics*. United States: N. p., 2014.
Web. doi:10.1063/1.4893871.

```
Zak, Michail, E-mail: michail.zak@gmail.com.
```*Interference of probabilities in dynamics*. United States. doi:10.1063/1.4893871.

```
Zak, Michail, E-mail: michail.zak@gmail.com. Fri .
"Interference of probabilities in dynamics". United States.
doi:10.1063/1.4893871.
```

```
@article{osti_22299758,
```

title = {Interference of probabilities in dynamics},

author = {Zak, Michail, E-mail: michail.zak@gmail.com},

abstractNote = {A new class of dynamical systems with a preset type of interference of probabilities is introduced. It is obtained from the extension of the Madelung equation by replacing the quantum potential with a specially selected feedback from the Liouville equation. It has been proved that these systems are different from both Newtonian and quantum systems, but they can be useful for modeling spontaneous collective novelty phenomena when emerging outputs are qualitatively different from the weighted sum of individual inputs. Formation of language and fast decision-making process as potential applications of the probability interference is discussed.},

doi = {10.1063/1.4893871},

journal = {AIP Advances},

number = 8,

volume = 4,

place = {United States},

year = {Fri Aug 15 00:00:00 EDT 2014},

month = {Fri Aug 15 00:00:00 EDT 2014}

}

DOI: 10.1063/1.4893871

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.