Virtual Antimatter Particles Interacting on Real Particles and Gravity, Complex Vector Algebra Applied to Fundamental Interactions, Field of a Mass Point and Cosmological Hypothesis by Enrique Alvarez Vita

I am helping Dr. Enrique Alvarez Vita by translating three of his physics articles into English. If his proposals are verified, they would be unique contributions to General Relativity. The following are three titles and abstracts pertaining to his work, followed by some key equations.

Interaction of virtual antimatter particles on real particles and gravity

Enrique Álvarez Vita

 

ABSTRACT

In the present work we propose the existence of fractal sub-levels of the quantum vacuum, confined in n – dimensions, which would contain virtual particles of matter and antimatter, which interact with the charges of the real particles, also affecting the space-time curvature.

Keywords: Fractal sublevels of the quantum vacuum, n – dimensions, virtual antimatter particles, modified Newtonian potential, modified Schwarzschild metric.

 

Introduction to the complex vector algebra and its application to the fundamental interactions of nature

Enrique Álvarez Vita

 

ABSTRACT

In the present work we will make a brief introduction to the algebra of complex vectors, as an extension of the algebra of real vectors with the same mathematical properties. All theorems of algebra and the analysis of real vectors are valid for complex vectors, taking into account that scalars are complex numbers instead of real numbers. We will give some examples and we will show its application in the fundamental interactions of nature.

Keywords: Complex vectors, algebra of complex vectors, electrostatic, chromodynamic and gravitational vectorial charges.

 

Field of a Mass Point and a Cosmological Hypothesis

Enrique Alvarez Vita

 

                ABSTRACT

One of the problems of physics in quantum mechanics and general relativity is that of singularities. In quantum electrodynamics, the renormalization method has been used successfully, but it has not been possible to apply it to gravity, a problem that remains unsolved to this day within the Standard Model. In the present work we propose that the energy and potential of the self-induced charge of a point mass at a certain distance from the field generated by the mass or particle, is given by an analytical function, which leads to the intrinsic energy of the mass when the distance is zero, from which all the fundamental forces of nature are derived, including gravity, eliminating singularities in fundamental particles and black holes. We propose a cosmological model of a cyclic universe based on our equations and the entropy of antimatter as the antientropy of matter and order in nature.

Keywords: Fractal sublevels of the quantum vacuum, n – dimensions, virtual antimatter particles, modified Newtonian potential, modified Schwarzschild metric, cyclical universe, antientropy.

 

The following are three equations related to these proposals:

INTENSITY OF THE ELECTROSTATIC FIELD OF AN ELECTRON.  It avoids having to use the renormalization method. 

MODIFIED NEWTONIAN POTENTIAL. It leads to a FINITE value whenthe distancetends to zero or to Planck's length in a black hole. This value is equivalent to the square of the speed of light independently from mass. 

MODIFIED SCHWARZSHILD METRIC. This metric is modified based on the modified Newtonian potential. General relativity assumes the Newtonian potential which leads to a spacetime singularity when the distance tends to zero. But this modified metric avoids this singularity with infinite values. This result repeats itself with the other metrics.