Leo G. Sapogin

Research

The Gravity in Unitary Quantum Theory

Article January 23, 2026

The authors discuss the contradictions between the main sections of the modern physical picture of the universe. In the Unitary Quantum Theory (UQT), it was shown that space and time become Newtonian again [4], and the growth of the particle mass with increasing speed comes from other considerations of physics [1, page 6]. Unlike quantum theory, the modern theory of gravity (general relativity) has not been confirmed by experiments and needs a significant revision. The authors propose a new approach to the kinetic theory of gravity, which is a natural extension of the UQT.

The Visual Problem of High Energy Physics, Gravitation and Cosmology

Article March 27, 2019

This article describes a model of Unitary Quantum Field theory where the particle is represented as a wave packet. The frequency dispersion equation is chosen so that the packet periodically appears and disappears without form changings. The envelope of the process is identified with a conventional wave function. Equation of such a field is nonlinear and relativistically invariant. With proper adjustments, they are reduced to Dirac, Schrödinger and Hamilton-Jacobi equations. A number of new experimental effects have been predicted both for high and low energies. Fine structure constant (1/137) was determined in 1988, masses of numerous elementary particles starting from electron were evaluated in 2007 with accuracy less than 1 %.2 pentaquarks, 𝜽𝜽+barion, Higgs boson and particle 28 GeV were discovered 11 years later, all of them were evaluated with high accuracy before.

The Mass Spectrum of Elementary Particles in Unitary Quantum Theory and Standard Model

Article March 29, 2016

The particle is represented by the wave packet in nonlinear space-time continuum. Due of dispersion, the packet periodically appears and disappears in movement and the envelope of the process coincides with the wave function. It was considered that the partial differential equation of telegraph-type describes the motion of such wave packet in spherical coordinate space (r,θ ,ϕ ) . Also the analytical solution u(r,θ ,ϕ ) of this equation was constructed and it was supposed that the integral over all space of 2 2 grad u was equal to the mass of the particle identified with the wave packet. As the solution u(r,θ ,ϕ ) depends on two parameters L,m being positive integer, it is possible to calculate our theoretical particle masses Lm M for different L,m. Thus, we have obtained the theoretical mass spectrum of elementary particles. In comparison with known experimental mass spectrum it shows that our calculated theoretical mass spectrum is sufficiently verisimilar. In this article we discuss the problems of standard SMmodel, supersymmetry and string theory, compare the possibility to predict in UQT and SM and show that Standard Model has left unsettled a lot of fundamental problems solved by UQT.

Nuclear Transmutations and Low Energy Nuclear Reactions at the Unitary Quantum Theory

Article April 29, 2014

In this article is discussed problems Low Energy Nuclear Reactions – with position unitary quantum theory. Probability of these phenomena more than predicts usual quantum theory for small energy.In this article is discussed problems Low Energy Nuclear Reactions – with position unitary quantum theory. Probability of these phenomena more than predicts usual quantum theory for small energy.

Contemporary Problems of Sciences in the View of Unitary Quantum Theory

Article July 10, 2013

The present article discuses the problems of new Unitary Quantum Theory in its applications to the different aspects of the reality. There are spectacular examples of such applications.

An Unitary Unified Quantum Field Theory

Article January 1, 1970

The paper proposes a model of an unitary unified quantum field theory (UUQFT) where the particle is represented as a wave packet. The frequency dispersion equation is chosen so that the packet periodically appears and disappears without changing its form. The envelope of the process is identified with a conventional wave function. Equation of such a field is nonlinear and relativistically invariant. With proper adjustments, they are reduced to Dirac, Schrödinger and Hamilton-Jacobi equations. A number of new experimental effects are predicted both for high and low energies.

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