Популярно о конечной математике и ее интересных применениях в квантовой теории

From Felix Lev:

I am a physicist. For many years I’m working on a quantum theory over finite math. The results are published in known physics journals. In addition, in my papers for physicists I argue that finite math is more fundamental than standard one: the latter is a special degenerated case of the former in a formal limit when the characteristic of the field or ring p in finite math goes to infinity. Since I am a physicist, I can post my mathematical results in the mathematical section of arxiv only if someone agrees to endorse, while many my papers can be found in the physics section of arxiv if you search the author F Lev.

In my last paper http://vixra.org/abs/1811.0044 I give a simple rigorous proof of the above fact. In general, introducing infinity automatically implies transition to a degenerate theory because in that case operations modulo a number are lost. So, even from the pure mathematical point of view (i.e. to say nothing about the fact that in nature there are no infinitely small and infinitely large quantities, no continuity etc.) the notion of infinity cannot be fundamental, and theories involving infinities can be only approximations of more general theories. In particular, standard quantum theory is a special degenerate case of quantum theory over finite math when p→∞. In many cases math with infinities works with a high accuracy because at the present stage of the Universe the number p is huge. At the same time, as shown in my papers, several physics phenomena can be explained only if p is finite. In particular, in my approach gravity is a consequence of the fact that p is finite: the gravitational constant is proportional to 1/lnp, i.e. gravity disappears in the formal limit p→∞. My estimation is that p is of the order of exp(10⁸⁰) but since the gravitational constant depends on lnp, the effect of finite p is observable.

I graduated from the Moscow Institute for Physics and Technology, got a PhD from the Institute of Theoretical and Experimental Physics in Moscow, and Dr. Sci. degree (in Russia there are two doctoral degrees) from the Institute for High Energy Physics (also known as the Serpukhov Accelerator). In Russia I worked at the Joint Institute for Nuclear Research (Dubna, Moscow Region). Now I live in LA CA and work at a software company.

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