Igor Bayak

20 Questions 92 Answers 0 Followers

Questions related from Igor Bayak

Is there a one-to-one correspondence between the primes and the roots of the zeta function?

Maybe there is even a formula that matches the zeta root to each prime?

13 August 2022 2,433 1 View

Is there a one-to-one correspondence between Abelian and non-Abelian groups?

Is the hypothesis (formulated in the introduction to the On geometric constructions of finite groups and Lie algebras ) about the one-to-one correspondence between Abelian and non-Abelian finite...

16 April 2022 5,623 13 View

What is the application of the “gyroscope” group of movements on a sphere?

The gyroscope is quoted as a mathematical gyroscope, that is, the intersecting lines of the equator and one meridian. The permissible movements of our mathematical gyroscope are the proper...

17 May 2021 7,401 3 View

Does the quantum vacuum have analogies in mathematics?

Take, for example, such a concept as a minimum flow, that is, a gradient vector field, the level surfaces of which are the minimum surfaces. Then the globally minimal flow, evolving to an...

14 September 2020 8,703 13 View

How to turn a torus into a sphere?

I see only one way - to build a doubly degenerate torus, that is, a torus whose inner circle is pulled together to the south pole of the sphere, and the outer circle to the north pole. With such a...

07 June 2020 3,588 0 View

Are these claims about compactification true?

1. Do I understand correctly that closed curves on a 3-dimensional torus are represented as closed ribbons lying freely (with the possibility of inverting) on a classical torus? 2. Do I understand...

21 May 2020 913 3 View

I would like to receive a review of the book, but now - at least a review of the Introduction. Can I hope?

The Introduction discusses a materialistic interpretation of the principle of least action and interpretation of quantum mechanics by random walks of rings. MATHEMATICAL NOTES ON THE NATURE OF THINGS

20 March 2020 7,305 4 View

What are the interpretations of Planck length?

For example, can it be interpreted as Lorentzian reduction of the length of the Planck interval action caused by the acceleration given by the gravitational constant? Of course, in this case...

31 May 2018 9,626 30 View

Do you know any expert in the field who could review this opus?

Book: The mathematical formalism of the theory of everything ABSTRACT: Despite the philosophical orientation of the book, designed to study the idealistic basis of materialism, you will not find...

10 December 2015 1,816 7 View

What interpretation of quantum mechanics will we get in a closed world?

Suppose, in fact, our 4-dimensional space is closed and represents the product of a sphere onto a torus or a sphere onto a cylinder, and the observer's coordinate lines are helical lines of a...

01 January 1970 456 14 View

How to connect a pseudo-Riemannian metric with algebra?

It is well known that spacetime metric is connected with the Dirac algebra. However, the question of the connection of space-time curve metric with algebra has not yet received wide coverage. If...

01 January 1970 3,749 7 View

What do you refer to the pre-quantum models?

For example, such a one-dimensional model, in which the particle is a movable ring on the torus, and the spatial coordinate is the irrational winding of the torus, suitable for the role of the...

01 January 1970 8,359 4 View

Is it possible to equate moving matter and ether?

It would seem that the answer should be negative. However, if you think about it, the answer is not so obvious. Indeed, it is enough to take the vector field of accelerations (velocities) of...

01 January 1970 1,877 3 View

Is there a topological connection between Abelian and non-Abelian groups?

For groups generated by homomorphisms of parity, such a connection exists. See the preprint (in Russian): О групповых конструкциях на произведении сфер Perhaps you have other examples of such a...

01 January 1970 1,132 4 View

Is it possible to metaphysically interpret arithmetic functions?

I approach this issue constructively. I'll give you my example, and you can point me to other examples of physical interpretation of arithmetic functions. My example in the attached paper "On the...

01 January 1970 8,538 2 View

Is a constructive proof of the Riemann hypothesis possible?

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...

01 January 1970 1,968 11 View

The mathematical pendulum with complex deflection angle

Unfortunately, I can not write out the action for such a pendulum here, but I can show the solutions. To do this, take the quoted text "ParametricPlot[{Re[sn(t+it,5 -25 i)], Im[sn(t+it,5 -25...">

01 January 1970 1,887 1 View

Fusion plasma confinement configuration

Is there a device (fusion power) that combines both a tokamak and a magnetic mirror with electrostatic plasma confinement? The idea itself is to create in a toroidal chamber a spiral-shaped...

01 January 1970 5,786 21 View

On the way to proving the Riemann Hypothesis

Please evaluate the approach to the proof of the Riemann Hypothesis based on the study of the oscillations of the metaphysical pendulum. For a substantive conversation, I suggest you look at the...

01 January 1970 7,284 0 View

What can be the consequences of Compactification of Minkowski space?

For example, in the case of compactification in R\times S^{3}, what can be said about the vector field on this manifold? Since the flow of the linear tangent to the three-dimensional sphere of the...

01 January 1970 7,649 5 View