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1. M. Zak, “Information: Forgotten Variable in Physics Models,” Electronic Journal of Theoretical Physics 10(28), 199220 (2013).
2. M. Zak, Particle of life: mathematical abstraction or reality? (Nova publishers, NY, 2013).
3. M. Zak, “Quantum-inspired maximizer,” Journal of Mathematical Physics 49, 042702 (2008).
4. E. Schrödinger, What is life (Cambridge University Press, 1944).
5. M. Zak, “Optimal Control Via Self-Generated Stochasticity,” The Open Applied Mathematics Journal 3, 4557 (2009).

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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.


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