Brain activity can be assessed either at anatomical/functional micro-, meso- and macro- spatiotemporal scales of observation, or at different intertwined levels with mutual interactions. Here we show, based on topological findings, that nervous activities occurring in micro-levels project to single activities at the macro-levels. This means that brain functions assessed at the higher scale of the whole brain necessarily display a counterpart in the lower ones, and vice versa. Furthermore, we point out how it is possible for different functional and anatomical levels to be stitched (sewn) together to become condensed brain activities, giving rise, for example, to ideas and concepts. Also, a topological approach makes it possible to assess brain functions in the general terms of particle trajectories taking place on donut-like manifolds. Indeed, every macro-scale activity, independent of the subtending theoretical model, can be described in terms of a multi-dimensional torus mapping to activities at lower levels. In physics, the term duality refers to a case where two seemingly different systems turn out to be equivalent, because they are mathematically distinguishable descriptions of the same phenomenon. Our framework permits a topological duality among different neuro-techniques, because it holds for all the types of spatio-temporal brain activities, independent of their inter- and intra-level relationships, strength, magnitude and boundaries.
Comments: 7 Pages.
[v1] 2016-10-10 15:21:51
Unique-IP document downloads: 67 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.