Center for Nonlinear Science, University of North Texas
1155 Union Circle, #311427
Denton, TX 76203-5017, USA, and
Computational Intelligence Laboratory, University of Manitoba, Winnipeg, Canada
Winnipeg R3T 5V6 Manitoba
The brain activity takes place in three spatial-plus time dimensions. This rather obvious claim has been recently questioned by several papers that, taking into account the big data outburst and novel, powerful computational tools, are starting to unveil a more intricate state of affairs. Indeed, various brain activities and their correlated mental functions can be assessed in terms of trajectories embedded in phase spaces of dimensions higher than the canonical ones. We show how, surprisingly, brain further dimensions may stand not just for methodological devices that allow a better mathematical treatment of otherwise elusive cortical activities, but also for functional or anatomical relationships among real nervous functions. Further, we describe how it is feasible to extract hidden multidimensional information from real or artificial neurodata series, and demonstrate how our mind dilutes, rather than concentrate as currently believed, the inputs coming from its surrounding environment. The principle “the higher the dimensions, the higher the information” might explain the occurrence of our mental activities and elucidate the mechanisms of the human diseases in which dimensionality reduction occurs.