Dear Jacek Safuta,
It is difficult to compare our ideas, since I do not know what equations you use as the basis, but you make a number of interesting statements that seem to indicate that we see some things the same way. For example you state that: "a primordial continuous Universe ... has evolved to the discrete matter and energy we observe today."
I begin with the same assumption.
We may differ in that I believe that the gravity field actually 'defines' space-time. But with this caveat, we agree that:
a) the spacetime is continuous, i.e. not perforated, not torn
b) the spacetime has elastic properties
c) the elastic properties of spacetime are [locally] isotropic
d) any spacetime deformation is unlimited
Actually, I do find a limit to deformation, but it is just this limit that gives rise to material particles. This seems to be what you are referring to when you say: "the matter is only a spacetime deformation (a contraction type)."
You say: "The fine structure constant alpha has several physical interpretations". It may interest you to know that I derive the fine structure constant from the above (local) limit on spacetime deformation. I believe this is compatible with your statement that "The observable objects have been originated due to the spacetime deformations self-organization" and that the evolution of such objects is a "special case of a more general law of survival of the stable".
So it is always difficult to know whether what your words say and what I think they mean are really the same, but I invite you to read my essay and determine for yourself.
I enjoyed your essay, and hope that you enjoy mine.
Best wishes,
Edwin Eugene Klingman