Almost everyone took physics courses at school. Probably you often came across sentences like these in the lessons you listened to or in the books you read:

- Electrical charges generate an electrical field around themselves. 
- A magnet generates a magnetic force field around itself. 
- An electrical charge that is in motion generates a magnetic field around itself. 

The field force lines that positive and negative electrical charges form are seen below. The charges are the same in the visual on the left and the charges are opposite in the visual on the right.

On the left side below, electromagnetic field lines that a coil through which a current passes forms are seen. On the right side, we can see field lines of a magnet.

In this wonderful photo below, Saturn and the rings on it are seen. Saturn’s ring band is shaped by the gravitational force.

WHAT IS FIELD: In physics, a field is a physical quantity, represented by a number or tensor, that has a value for each point in space and time (cited from Wikipedia). 

Of course, such a definition is the most primitive description of Field. It is a product of an effort to explain for the adaptation based on the mathematical equations obtained through studies conducted. It cannot answer any of the questions such as what is a field in reality, is it made of something, does it have an inner structure, is it a part of space. This topic that widens with theories such as Quantum Field Theory (QFT) and Unified Field Theory (UFT) is actually a bottomless pit and it is the biggest research topic of physics; I believe it will continue to be so in the future as well. 

Let’s go back to the definition of fields. The “FIELD” definition above discusses Space-Time in an integrity, defines it as “a single field”, and mentions the existence of a value for each point in it. However, such a definition of fields is terribly insufficient because an effect on a point in space is formed by the sum of the effects that sub-components that form matter in the universe (which are atom and, more specifically, the components making up of the atoms) have on that point. Each component that forms an atom has a value assigned related to that point of the space. Therefore, for each point in space, there is, in reality, an infinite number of assigned values. The final effect is formed with the sum of all these effects. Therefore, the definition of field defines the value of this final effect that sub-components form. 

Let’s have a look at the photograph of the magnet again. It is a well-known fact that the force that pulls iron fillings to the force lines of the magnetic field is the total force that electrons inside the magnet. Now, let’s push ourselves a little by asking a question. In which way do the electrons in the magnet transfer their forces to iron fillings that are scattered around? Now that iron fillings are affected, there needs to be a mechanism transferring the effect of electrons to iron fillings. I don’t mean the magnetic force that is formed because of the spins of free electrons in the magnet. I am talking about the way the magnetic force formed is transferred to iron fillings. We can look for an answer to the question in two mean categories:

  1. Electron uses space to transfer its force. It affects and changes the space around it. The medium that enables the transmission of the force is space. A piece of space affected by the sum of the forces of electrons in the magnet forms the magnet’s field. ………………..

  2. Each electron has a field that belongs to itself. The field that the electron has is like a physical object that enables its interaction with its environment. Electron transfers its force through its own field. ……………………

It is possible to develop a theory by staying within these two options; we may also write other alternatives. However, I’d like to tell you about the second option because (c+v) (c-v) mathematics shows great clues and signs in the direction that the correct way is the second option. 

You may want to think a bit by looking at the photos above. From this stage on, we will travel to the unknown. You need to feel ready for this. I will try to describe the PAPER in nature that leads to (c+v) (c-v) mathematics.