Technical Paper


The standard model of particle physics asserts that the building  blocks of physics are a certain set of fundamental particles from which the composite particles seen in experiments are constructed. The story of the construction of the standard model is one of a dialogue between experiment and theory, where experiment sometimes led in forcing the theorists to postulate new particles in order to explain the fact that certain reactions occur, whereas other apparently similar ones do not.

On the other hand, the standard model explains some but not all of the features of its list of particles, being  the  task of current research in unified theories to explain exactly why matter should be formed from ingredients that are ordered in the particular way as we well known. The task of GUTs  ( Grand Unified Theories ) is to provide some explanation for the form of the standard model, which has many features that it would be nice to explain, rather than assume arbitrarily.

The most important achievement of the last two decades is not just to have established that our world is made of quarks, leptons, and gauge bosons, but to have brought is toward a new frontier where even more exciting questions can be raised. These speculations do inevitably include the possibility that quarks and leptons are themselves composite.


 As it is well known, GUTs are theories that explicitly violate conservation of baryon number, allowing the interesting new possibility of  proton decay

According to the Ghassemi’s theory   when the proton decays, it melts in space – time.



We shall be interested on topological ideas such as continuity of geometrical shapes and how they are going to change in certain processes. In relation to this, it will be necessary the concept of gaussian curvature of a two-dimensional surface which will be changed according to the topological changes and also according to the fluctuations of certain parameters. In this sense it will be possible to obtain some mathematical relations such as equations.

  On the new theory.

I depart from the fact in observing a piece of matter and taking into account the following ordinary fact:

To each piece of matter there corresponds its proper space at which it is contained.

Now, taking into account symmetry considerations I set up similarly:

It is impossible to talk of a mathematical empty space in physics.

From this statements it must be inferred that mass and space are to be the same. But space and time are inherent from special relativity, then we would have space-time-mass in a similar way to the Ghassemi’s theory.

At this step arise the question, how space-time is to be mass and reciprocally? To answer this question, it is necessary to give some structure to space-time and being so I set up the following hypothesis:

There are only two kinds of elementary particles being the building blocks of space-time: The first one, whose topological structure has positive gaussian curvature and the second one whose topological structure has negative gaussian curvature.       

According to this, from such building blocks matter is to be made. Say, if we take a container and remove everything from inside it  – every atom, every photon  –  there will be the topological particles postulated above. If we want to remove such topological particles, it will be impossible since they define the structure of  space- time itself.  It will only be possible to shrink or stretch via compactification or decompactification processes. There are no gaps between our topological particles since it is assumed that it is impossible to talk of a mathematical empty space in physics.

3.4 About the electric charge of  proton and electron .

We know that forces between like electric charges ( two protons or two electrons ) repel each other and forces between unlike electric charges ( one proton and one electron ),  they attract each other.

From the viewpoint of this theory protons and electrons are characterized by their values   and   that they have reached during the compactification processes and for each proton of the group of protons the pair   must be  different in such a way they can not experiment a compactification process as we can infer from , say, they repel each other. But all they must have the same number of compactifications in order they have the same mass. In similar way it happens for the electrons.

In the case of one electron and one proton, they must have the same pair of values   in such a way they attempt to reach a compactification process , but they only differ in the number of compactifications.

3.5 The Invariance of the speed of  light .

From current theories we know that photons are particles with zero rest mass and they all have the same velocity   in different inertial frames. According to my theory,  photons must be the result of topological changes successively ( say,  particles that have not experimented compactification processes properly ) which is the manifestation of their movement. Since mass appears when compactification processes have occurred and remains stable, photons only have sense when they are under movement ( in the sense of topological changes ). This explains why there are no photons at rest. Being so, this type of topological changes for photons is not affected by uniform velocities.