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Quantum-like behavior without quantum physics I : Kinematics of neural-like systems
S A Selesnick1, J P Rawling2, Gualtiero Piccinini3
1Department of Mathematics and Computer Science, University of Missouri - St. Louis, St. Louis, Missouri, 63121, USA. selesnick@mindspring.com.
Journal of Biological Physics
|July 15, 2017
Summary
This study explores quantum-like brain behavior, finding that standard quantum physics explanations are insufficient. It proposes a new theory based on system logic, revealing unique quantum-like effects in complex systems.
Area of Science:
- Cognitive Science
- Theoretical Physics
- Neuroscience
Background:
- Growing interest in quantum-like behavior in human cognition (e.g., memory, lexicon).
- Existing theories often rely on quantum physics principles, but lack empirical support at the atomic/molecular brain level.
- Standard Hilbert space models do not fully explain large-scale human cognition.
Purpose of the Study:
- To lay the groundwork for a novel theory explaining quantum-like behavior in complex systems.
- To explore an alternative approach based on the logic of hidden or inaccessible systems.
- To identify and characterize quantum-like effects distinct from those in physical quantum systems.
Main Methods:
- Developing a theoretical framework for complex systems with hidden internal structures.
- Analyzing the logic underlying these systems, comparing it to quantum logic.
- Investigating emergent quantum-like effects as a function of system size.
Main Results:
- Identified a logic for complex systems that is similar to, but not identical with, quantum logic.
- Revealed quantum-like effects within these systems that differ from standard quantum physics effects.
- Observed that these novel quantum-like effects intensify with increasing system size.
Conclusions:
- Standard quantum physics is not the sole explanation for quantum-like phenomena in complex systems like the brain.
- A new theoretical approach based on system logic can explain emergent quantum-like behaviors.
- The discovered effects offer a new perspective on understanding complex system dynamics and cognition.
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