Dose Toroidal Network Topology Exist in Our Brain Activities?
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Abstract
Recent advances in computational neuroscience and topological data analysis have sparked a provocative question: does toroidal network topology exist in human brain activity? A torus—a donut-shaped manifold—is a recurring structure in complex dynamic systems, representing continuous yet cyclic patterns. Neural recordings increasingly reveal similar topological signatures, especially in grid-cell firing, sensory integration, and large-scale brain coordination. While the presence of a perfect geometric torus in the brain is unlikely, toroidal topology may reflect how neural populations encode periodicity, relational structure, and multidimensional information. This opinion article argues that toroidal topology should not be dismissed as abstract mathematics but recognized as a potentially fundamental organizational principle of cognition. It may be key to understanding memory, perception, consciousness, and the brain’s remarkable efficiency. Exploring toroidal patterns offers both conceptual insight and a methodological shift toward studying the brain as a dynamic, high-dimensional manifold rather than a static network.
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Toroidal Topology, Brain Dynamics, Grid Cells, Neural Manifolds, Computational Neuroscience
No funding source declared.
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