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Emergent "Quantum" Theory in Complex Adaptive Systems.

Djordje Minic1, Sinisa Pajevic2

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Complex adaptive systems may exhibit emergent quantum-like theories, offering non-classical stability resistant to thermal fluctuations. This provides crucial insights into system dynamics and resilience.

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Area of Science:

  • Complex adaptive systems
  • Theoretical physics
  • Mathematical biology

Background:

  • Investigating the fundamental principles governing the stability and behavior of complex adaptive systems.
  • Exploring the potential for quantum mechanics-like phenomena to emerge in non-quantum systems.
  • Understanding the limitations of classical theories in explaining emergent properties.

Purpose of the Study:

  • To propose and investigate the emergence of an effective quantum-like theory within complex adaptive systems.
  • To demonstrate this emergence using a concrete example of stochastic Lotka-Volterra dynamics.
  • To analyze the stability and coherence properties of such emergent theories.

Main Methods:

  • Utilizing stochastic Lotka-Volterra dynamics as a model system.
  • Defining and analyzing an effective "Planck constant" with dimensions of time squared.
  • Investigating the inherent stability and coherence properties of the emergent quantum-like theory.

Main Results:

  • An effective quantum-like theory can emerge in complex adaptive systems.
  • The emergent theory possesses an effective "Planck constant" with dimensions of the square of the unit of time.
  • This emergent theory exhibits non-classical stability and coherence, unaffected by thermal fluctuations.

Conclusions:

  • Emergent quantum-like theories offer a novel framework for understanding stability in complex adaptive systems.
  • The non-classical stability provided by these theories is robust against thermal noise.
  • These findings have significant implications for the study and design of resilient complex adaptive systems.