8) how the particles interact with the fields / SurprizingFacts

1) Ball on the spring, Newtonian version
2) Quantum sphere on the spring
3) Waves, classical form
4) Waves, (19459002) 6) Fields
7) Particles are quanta

In the previous article in the series, I explained that particles of nature are quanta of relativistic fields that satisfy equations of motion of class 0 and class 1 But what I have not yet said, so this statement, fortunately, is only partly true. Real equations are always a little more complex, so that the interrelationship of particles and fields remains, but much more diverse phenomena and processes become possible, including the appearance of particles after the collision of other particles, the decay of particles into other particles, and the scattering of particles from one another, As well as the formation of such interesting objects as protons and neutrons, atomic nuclei and atoms. I will not be able to explain all this in detail, but in this article I'll give you an introduction to how this all works.

The key difference between the equations that I called "class 0" and "class 1", and equations important for real physics, is that in real equations there are additional terms that depend on two or more fields, and not only on one . That is, say, instead of the equation of class 0 for the relativistic field Z (x, t), which looks like

 $ d ^ 2Z / dt ^ 2 - c ^ 2 d ^ 2Z / Dx ^ 2 = 0 $ "data-tex =" display

for real fields the equations look more similar to this:

 $ d ^ 2Z / dt ^ 2 - c ^ 2 d ^ 2Z / dx ^ 2 = y 'Z (x, t) ^ 3 + y A (x, t) B (x, t) $ "data-tex =" display 

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