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The FitzHugh-Nagumo equations and quantum noise.
Partha Ghose1, Dimitris A Pinotsis2,3
1Tagore Centre for Natural Sciences and Philosophy, Rabindra Tirtha, New Town, Kolkata 700156, India.
Computational and Structural Biotechnology Journal
|March 24, 2025
Summary
This study shows that neuronal noise, like Brownian motion, mathematically mirrors quantum mechanics predictions. This suggests quantum phenomena might be observable in brain recordings, offering new insights into brain function.
Area of Science:
- Neuroscience
- Quantum Physics
- Computational Biology
Background:
- Quantum phenomena like superposition and entanglement are thought to collapse due to thermal noise in brain recordings.
- Decoherence prevents observation of quantum states in classical systems.
Purpose of the Study:
- To investigate the potential for observing quantum phenomena in brain recordings.
- To explore the mathematical equivalence between neuronal noise and quantum mechanics.
- To extend these findings to more complex neuronal models.
Main Methods:
- Demonstrating mathematical equivalence between Brownian motion-type neuronal noise and the Schrödinger equation.
- Extending the analysis to the FitzHugh-Nagumo model for neuronal dynamics.
Main Results:
- Neuronal noise of the Brownian motion type is mathematically equivalent to a wave-particle description.
- This equivalence provides a framework for understanding quantum effects in neuronal systems.
Conclusions:
- The study suggests a potential link between quantum mechanics and neuronal noise.
- This approach may offer novel perspectives on the fundamental mechanisms of brain function.
- Further research could explore quantum phenomena in biological systems.
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