Dear Dariusz,
If I may give some constructive feedback on your essay, I think most people, even those with a mathematical background, will find it to be inaccessible. To give one example of many, I actually know some modal logic, yet what the systems you list in your table on the purported duality between R and Q(\sqrt{3}) have to do with it completely escapes me, and you never mention them again. There seems to be far too little in the way of explanations of how the different parts of your vision hang together. Presenting numerous quotes by others in sequence does not help much. Without the explanations some of the numerical relationships seem little more than numerology.
It is a shame that communicating your ideas is presenting such a stumbling block because it seems that you have thought a lot about various aspects of the relationship between physics and mathematics. For future submissions I would recommend that you have someone read through your paper first and tell you what they understood it to say.
I hope your found my constructive criticism useful.
Best wishes,
Armin