Please look at the mathematical construction of theta and zeta functions in the representation of a winding sphere. In this paper, based on the representation of the winding of a sphere, we construct a proof of the Riemann hypothesis of nontrivial zeros. Could you check this proof?
Preprint Chaotic dynamics on the sphere
Preprint Хаотическая динамика на сфере
I am not competent enough in dynamical systems to check the proof sorry.
Patrick Solé ,
I am also not an expert on dynamical systems, but a description of the Riemann zeta function in the representation of a winding without time would be too meager. As for my constructive-dynamic proof, its construction is simple - at discrete moments of time, catch all the points of the winding and place them on a circle moving (making a hyperbolic rotation) along the surface of the sphere, and then look at the distribution of points on the sphere. And in order to catch all the points of the winding, it is necessary to have a hyperbolic rotation speed of the winding equal to 1/2. In turn, the speed of the point on the line of the winding serves as a parameter affecting the uniformity (unevenness) of the distribution of points on the circle.
Dear Bayak,
Your idea is certainly interesting, but unfortunately, I am not an expert on topolog,y. I strongly suggest you first meet a professor and talk to him on how you have tackled the problem. Then give him the paper to study. This procedure will make a good beginning. Also, you can start by giving seminars/ lectures on the proof. You will get suggestions for improvements ( if any) And then you get a few people to recommend your paper to a Journal.
Best of Luck and God Bless!
Regards
Dr Kumar Eswaran.
K. Eswaran,
You offer me an option that is suitable for a person from an academic environment, but there are no professors among my circle who are ready to immerse themselves in my papers. Why not host a discussion within our online community? As far as a rigorous proof of the Riemann hypothesis is concerned, I am not so interested. At the moment I'm more interested in how the concept of winding a sphere matches the nature of the electron.
K. Eswaran
Dear Kumar,
I just looked at your proof of the Riemann hypothesis, and as soon as I saw that there was an analogy with a random walk in the proof, I immediately realized that it could not be wrong. Please look at the third section of my paper - it also deals with random walk.
Igor
Yes, you may be on the right track. I very strongly urge you to meet some one who knows topology. Best of luck!
dr Kumar Eswaran
K. Eswaran
In this case, the whole topological essence of the question lies in the difference between factorization mod 1 and factorization mod 2, which appears when a circle is twisted at 8 and opposite points are identified. In other words, the transition from 2 to 1 means that in the two-layer shell of the sphere (without polar caps) two layers are glued together and only the part of the sphere located between the polar circles is displayed.
Patrick Solé
Just submitted my manuscript to Foundations of Physics.
If you haven't changed your mind about reading it yet, I highly recommend downloading the latest (updated) version.
Igor.
And indeed your title "The Riemann hypothesis as an equilibrium function on the complex sphere" is very in tune with my thoughts.
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