Complex speed for quantum gravity includes the complex Minkowski interval

Leonov Vladimir

October 2025

https://orcid.org/0000-0001-5270-0824

https://www.researchgate.net/profile/Leonov-Vladimir/research

For citation:

Leonov Vladimir. Complex speed for quantum gravity includes the complex Minkowski interval. – Preprint: ResearchGate, October 2025, Download PDF: https://www.researchgate.net/publication/396708981

Abstract

New quantum physics in the form of the theory of Superunification, which includes quantum gravity, requires the search for a new mathematical apparatus to describe the state of the gravitational field in a quantized vacuum deformed by gravity. Quantum gravity cannot exist in nature without a gravity carrier particle in the form of a 4D-tetraquark. The quantized vacuum consists of 4D-tetraquarks that form the elastic fabric of the quantized vacuum. The quantum nature of gravity lies in the deformation of the quantized vacuum, for the mathematical description of which we use a complex speed including real and imaginary parts. In this case, gravity is a function of the argument (angle) of the complex speed on the complex plane inside the deformed quantized vacuum. This mathematical technique opens the way to the application of the theory of functions of a complex variable in the theory of quantum gravity to solve applied problems that cannot be solved by other methods (for example, the problem of many-body physics). On the other hand, the complex speed is an analogue of the complex Minkowski interval, which describes the compression and expansion of the quantized vacuum under the influence of gravity. In the theory of quantum gravity, the Minkowski complex interval describes the deformation (compression and stretching) of the quantized vacuum under the action of gravity, which is a function of the argument (angle) of the complex interval. Complex speed and complex interval are the basis for the New Quantum Relativity Theory, which is a fundamental property of the quantized vacuum as opposed to Einstein's empty vacuum.

9 pages, 2 figures.

Key word: theory of Superunification, complex speeds, absolute (real) speed, relative (imaginary) speed, quantized vacuum, Minkowski complex interval.

 

    Content

1. Introduction

2. Complex speed and its forms of recording

3. Complex speed on the complex plane and its physical meaning

4. Derivation of the relativistic factor from the complex speed

5. The Minkowski interval is a property of complex speed

6. The physical meaning of the Minkowski interval on the complex plane

7. Conclusion

References