Relationships between short and fast brain timescales
Eva Déli1, Arturo Tozzi2, James F Peters3,4
1Institute for Consciousness Studies (ICS), Benczurter 9, Nyíregyháza, 4400 Hungary.
Cognitive Neurodynamics
|November 18, 2017
Summary
Brain oscillations at different speeds mirror each other, revealing a topological duality. This finding connects brain electric activity to consciousness, using principles from topology and physics.
Area of Science:
- Neuroscience
- Complex Systems
- Theoretical Physics
Background:
- Brain electric activity shows oscillations across timescales and power-law distributions.
- Understanding the relationship between low- and high-frequency brain spikes is crucial for neuroscience.
Purpose of the Study:
- To investigate the relationship between low- and high-frequency brain oscillations.
- To explore the topological properties of nervous system activity.
- To connect brain electric activity to the physiological manifestations of consciousness.
Main Methods:
- Utilized a variant of the Borsuk-Ulam theorem applied to fractal-dimensionally embedded nervous activity.
- Applied Bloch theorem from solid-state physics to establish a link between different timescale activities.
- Employed topological analysis to examine micro-, meso-, and macro-level brain functions.
Main Results:
- Demonstrated a sinusoidal relationship where slow and fast nervous oscillations mirror each other.
- Showed that micro-level neural activities project to single activities at meso- and macro-levels, and vice versa.
- Established a topological duality in spatio-temporal brain activities, linking them to consciousness.
Conclusions:
- Brain functions at different scales are interconnected and display a mirrored relationship.
- A topological framework can describe brain activity using concepts like entropy and particle trajectories.
- Cognitive phenomena and consciousness may be explained by quantum mechanics and holographic principles, underpinned by electric brain activity.
