=================
G:
My comments are not meant to discuss the meaningless assertions,
but to prevent eventual not specialized readers to be muddled with
them.
=================
Tida:
>         We
> suppose than the universe  is a big space with
> clusters.
> We take one of these, the dimention of an electron.
===========
G:
Electron does not have any "dimension", but may be considered in
dimensions of some concerned SPACE.
=============
Tida:
> 
>         Cartesian geometry gives three
> axis vectors for one
> resultant.  They are 90 degrees towards each
> other.  They are named
> X,Y and Z axis.  The sum of the three vectors give the
> resultant
> vector.  
==============
G:
There is no "Cartesian Geometry". 3 most common geometries 
(or synonymous "SPACES") are 1.Euclidean or flat, 2.Riemannian
or parabolic and 3.Lobatschevskian or hyperbolic, based respectively
on the axioms:
1.Through point not on straight line passes one parallel,
2.- no parallel,
3.- any number of parallels greater than 1.
(By "straight line" is meant the "shortest path" or the Geodesic
of the concerned SPACE).

Descartes conceived for the Euclidean SPACE a system of  rectilinear
orthogonal coordinates useful for describing macroscopic events of the
current life and for his concurrent physics. Euclidean SPACE admits
numerous other coordinates, spherical, parabolic, hyperbolic, etc.
each either orthogonal or oblique. In oblique systems vectors'
co- and contravariant components are different.

Current model of cosmos is based upon curved 4d SPACE immerged in a
10d SPACE. SPACE is Phenomenally Equivalent with Gravity/Inertia
Field, the former's curvature corresponding to the latter's density.
In Gravity or Inertia preponderant areas the SPACE is respectively
Parabolic and Hyperbolic.

Cartesian coordinates of course don't apply in this cosmos model.
It's described by curvilinear Gaussian coordinates varying from
point to point of the SPACE, each point being defined by a Riemann
tensor.

The rest of the post is skipped as clearly meaningless.

Georges.
=================


      

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