A donut-like torus may be compared with a video game with biplanes in aerial combat: when a biplane flies off one edge of gaming display, it does not crash but rather it comes back from the opposite edge of the screen.
Our thoughts exhibits similar behaviour, i.e. the unique ability to connect past, present and future events in a single, coherent picture as if we were allowed to watch the three screens of past-present-future “glued” together in a mental kaleidoscope.
Are we allowed to hypothesize that brain functions are embedded in a imperceptible fourth spatial dimension?
For more details: https://www.researchgate.net/publication/283268683_OUR_THOUGHTS_FOLLOW_A_DONUT-LIKE_TRAJECTORY_IN_BRAIN
Preprint OUR THOUGHTS FOLLOW A DONUT-LIKE TRAJECTORY IN BRAIN
This is a good question with many possible answers.
Physically, the brain is in 3-dimensional Euclidean space and has been studied with 3D tomography:
https://www.researchgate.net/profile/David_Holder/publication/12168084_Three-dimensional_electrical_impedance_tomography_of_human_brain_activity/links/0fcfd5064b58e74a66000000.pdf
Fractal spectra of EEGs are proposed and the correlation dimension of an EEG signal are considered in
http://www3.ntu.edu.sg/home/eosourina/Papers/cbm06.pdf
Article Three-Dimensional Electrical Impedance Tomography of Human B...
Dear Laurent, thanks for your precious comments. I agree with your concerns, but our theory has an unvaluable advantage: it is simple and comprehensive. Indeed, apart from the technicalities linked with the suggestions from the far-flung branch of algebraic topology, our theory joins together in a coherent, linear picture many theories, including the nonlinear ones: the connectome, the role of spikes, the energetic landscapes.
In summary, we mechanistically hypothesize that a 4D energetic cap, embedded in the very structure of the connectome, surrounds the brain and gives rise to a functional donut-like "linen", where thoughts might take place. In such a framework, every brain area performs its tasks, in a sort of "neo-phrenological" view. See: https://www.researchgate.net/publication/273452923_Information_processing_in_the_CNS_a_supramolecular_chemistry
The problem of "our conscience" and "consciousness" is too complicated, mainly due to our lack of a definition: nobody agrees what does conscience mean, thus it is impossible to test its physiological features.
Again, thanks again for your interest!
Article Information processing in the CNS: a supramolecular chemistry?
dear Laurent, your observation is quite interesting.
We think that the hypersphere follows its intrinsic movements and, when it intersects a brain area, the latter is activated, together with the specific function coded into it
there is a simple way to test the hypothesis: to check if, during a spontaneous or task-related activity, there is the simultaneous activation of two opposite zones on the brain cortex (for example, when the left occipital area and the right frontal area fire together).
we went retrospectively through the literature of resting-state, and we found ubiquitously the predicted pattern. If you want to look by yourself in your data, you are welcome!
we are opened to every kind of collaboration, when we find thoughtful and interested people as you are!
thanks again for sharing your ideas!
The problem now is to insert the hypersphere theory in this more general energetic scheme: https://www.researchgate.net/publication/279962475_Tozzi%27s_brain._My_personal_brain_theories_%28to_whom_it_may_concern...%29
Technical Report Tozzi's brain. My personal brain theories (to whom it may concern...)
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