Dear Vladimir Rogozhin: I had to read your essay several times to understand it correctly. Being a well-written essay, the density of ideas stated; joined a very erudite historical hindsight, make this essay an example magnificent mathematical thinking not, but it draws conclusions and axioms, of great importance. I do not like the word philosophy, I prefer: well structured thinking, logic and axiomatic.
One of the important conclusions that you discussed is the concept of unitarity, in the sense that all physical phenomena, including space, time, and energy or mass, are actually manifestations of a single, fundamental entity, which takes into itself all physical characteristics, apparently manifested separately.
Indeed, as you noted repeatedly in his essay, a theory of unification, by pure logic requires: 1) A holistic principle of unitarity. 2) fundamental functional units not "divisible" most fundamental units. That is to say: There must be a minimum as Delta incremental, that is nothing, that there is a minimum length measurement of space-time-mass.
You remember in her essay the great thinkers of history, from ancient Greece, through Galileo, Kant, Boubarky. In this historical analysis mentions the importance of, for example, basic geometric forms: sphere, triangle, etc.. And here, here is where you absolutely right, as for example, the principle of holistic unitarity is manifest in the spins possible. That is: 1) The arithmetic average of the sum of the cosines of all nonzero spins, this arithmetic mean is very roughly squared (renormalization effects), the ratio of the mass of the Higgs boson mass and the value of the vacuum Higgs, that is:
SUM_spins_cos( cos(s))= Delta(s)
cos(s)= s/sqr[ s(s+1)]
Delta(s)= 2.8755503
( Delta(s)/4 )^2 = 0.5167993455
Vacuum Higgs value = 246.221202 Gev=V(H)
V(H) x ( Delta(s)/4 )^2 = 127.246 Gev ~ mh
Another example of principle of holistic unitarity
The tetrahedron: the angle formed by one side with a face.
This angle has the following property with respect to the spins of the graviton, the spin of the leptons, and the fractional electric charges.
cos(th1)= cos(54.73561031 degree) = cos( s= 1/2)
sin(th1) = cos( s= 2)
( cos(th1) )^2 = 1/3
( sin(th1) )^2 = 4/3 maximum value electric charge SU(5) unification
I think, humbly, that these two mathematical-physical examples, would be a small "translation" of the excellent and well-reasoned thoughts embodied in his magnificent essay. I'm sure it will be one of the winners of this contest. Greetings. Angel Garces Doz