# Emergent “quantum” theory in complex adaptive systems

## Abstract

Motivated by the question of stability, here we argue that an effective quantum-like theory can emerge in complex adaptive systems. In the concrete example of stochastic Lotka–Volterra dynamics, the relevant effective “Planck constant” associated with such emergent “quantum” theory has the dimensions of the square of the unit of time. Such an emergent quantum-like theory has inherently nonclassical stability as well as coherent properties that are not, in principle, endangered by thermal fluctuations and thus might be of crucial importance in complex adaptive systems.

- Authors:

- Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
- National Inst. of Health (NIH), Bethesda, MD (United States)

- Publication Date:

- Research Org.:
- Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1594544

- Grant/Contract Number:
- SC0009973; FG02-13ER41917

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Modern Physics Letters B

- Additional Journal Information:
- Journal Volume: 30; Journal Issue: 11; Journal ID: ISSN 0217-9849

- Publisher:
- World Scientific Publishing

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Emergent quantum theory; complex adaptive systems; system stability; Lotka–Volterra model

### Citation Formats

```
Minic, Djordje, and Pajevic, Sinisa. Emergent “quantum” theory in complex adaptive systems. United States: N. p., 2016.
Web. doi:10.1142/S0217984916502018.
```

```
Minic, Djordje, & Pajevic, Sinisa. Emergent “quantum” theory in complex adaptive systems. United States. doi:10.1142/S0217984916502018.
```

```
Minic, Djordje, and Pajevic, Sinisa. Tue .
"Emergent “quantum” theory in complex adaptive systems". United States. doi:10.1142/S0217984916502018. https://www.osti.gov/servlets/purl/1594544.
```

```
@article{osti_1594544,
```

title = {Emergent “quantum” theory in complex adaptive systems},

author = {Minic, Djordje and Pajevic, Sinisa},

abstractNote = {Motivated by the question of stability, here we argue that an effective quantum-like theory can emerge in complex adaptive systems. In the concrete example of stochastic Lotka–Volterra dynamics, the relevant effective “Planck constant” associated with such emergent “quantum” theory has the dimensions of the square of the unit of time. Such an emergent quantum-like theory has inherently nonclassical stability as well as coherent properties that are not, in principle, endangered by thermal fluctuations and thus might be of crucial importance in complex adaptive systems.},

doi = {10.1142/S0217984916502018},

journal = {Modern Physics Letters B},

number = 11,

volume = 30,

place = {United States},

year = {2016},

month = {3}

}

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