[Fis] Who may proof that consciousness is an Euclidean n-space ???

[tozziarturo at libero.it]

Dear Krassimir, 
Thanks a lot for your question, now the discussion will become hotter!
First of all, we never stated that consciousness lies either on a n-sphere or on an Euclidean n-space.
Indeed, in our framework, consciousness IS the continuous function. 
Such function stands for a gauge field that restores the brain symmetries, broken by sensations. 
Concerning brain and gauge fields, see my PLOS biology paper: 
http://journals.plos.org/plosbiology/article?id=10.1371%2Fjournal.pbio.1002400
When consciousness lacks, the inter-dimensional projections are broken, and the nervous higher functions temporarily disappear.  
Concerning the question about which are the manifolds where brain functions lie, it does not matter whether they are spheres, or circles, or concave, or flat structures: we demonstrated that the BUT is valid not just for convex manifolds, but for all the kinds of manifolds.  
See our: 
http://onlinelibrary.wiley.com/doi/10.1002/jnr.23720/abstract?userIsAuthenticated=false&deniedAccessCustomisedMessage=
Therefore, even if you think that brain and biological functions are trajectories moving on concave structures towards lesser energetic levels, as suggested by, e.g., Fokker-Planck equations, it does not matter: you may always find the antipodal points with matching description predicted by BUT.  
Ciao!
--
Inviato da Libero Mail per Android sabato, 26 novembre 2016, 06:23PM +01:00 da Krassimir Markov  markov at foibg.com :

>Dear FIS colleagues,
>I think, it is needed to put discussion 
on mathematical foundation. Let me remember that:
> 
>The  Borsuk–Ulam theorem (BUT), states that every  continuous function from an  n -sphere into  Euclidean  n -space maps some pair 
of  antipodal points to the same point. 
>Here, two points on a sphere are called 
antipodal if they are in exactly opposite directions from the sphere's 
center.
>Formally:  if f :  S n → R n   is continuous then there exists an  x ∈ S n  such that:  f ( − 
x ) = f ( x ) .
>[  https://en.wikipedia.org/wiki/Borsuk%E2%80%93Ulam_theorem ] 
> 
>Who may proof that consciousness is 
a   continuous 
function from 
reflected reality ???
>Who may proof that consciousness is 
an  Euclidean  n -space ???
>After 
proving these statements we may think further.
> 
>Yes, discussion is interesting but, I am 
afraid, it is not so scientific.
> 
>Friendly regards
>Krassimir
> 
> 
> 
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