The common features of different brain activities.

Area of Science:

• Neuroscience
• Topology
• Computational Neuroscience

Background:

• Brain activity encompasses diverse mental faculties across multiple spatiotemporal scales and cortical levels.
• Existing models often analyze brain functions in isolation, limiting a unified understanding of neural processes.
• The concept of 'duality,' where different systems exhibit equivalent properties, has not been fully explored in neuroscience.

Purpose of the Study:

• To demonstrate that distinct brain activities exhibit a reciprocal 'duality' across different anatomical and functional levels.
• To propose a unified framework for understanding the entirety of mental processes, from basic perception to complex cognition.
• To introduce a computational tool based on topological principles for analyzing brain activity.

Main Methods:

• Development of a novel method based on topological findings to quantify the merging and interaction of different brain activity manifolds.
• Utilizing computational tools to model how diverse neural functions can be reduced to a single, general brain activity.
• Applying principles of higher-dimensional geometry to represent brain activity.

Main Results:

• A topological framework demonstrating 'duality' among various brain activities and neuro-imaging techniques.
• Evidence that all mental processes, irrespective of their cortical location or functional specificity, can be unified.
• Identification of a general brain activity operating in dimensions beyond the classical three spatial dimensions plus time.

Conclusions:

• The proposed framework offers a unified perspective on brain activity, reducing diverse mental processes to a single, generalizable phenomenon.
• Topological duality provides a powerful lens for understanding the interconnectedness of neural functions across different scales and levels.
• This research opens new avenues for computational neuroscience and the development of advanced neuro-technologies.