1) The main idea / SurprizingFacts

If you've read my series of articles on the physics of particles and fields, you know that all the so-called. "Elementary particles" are in fact quanta (waves whose amplitude and energy are minimally permissible by quantum mechanics) of relativistic quantum fields. Such fields usually satisfy the equations of motion of class 1 (or their generalization) of the form

 $ d ^ 2Z / dt ^ 2 - c ^ 2 d ^ 2Z / dx ^ 2 = - (2  pi  nu_ (Z-Z_0) $ "data-tex =" display "/> </math>
<p> Where Z (x, t) is the field, Z <sub> 0 </sub> – The equilibrium state, x is the space, t is the time, d <sup> 2 </sup> Z / dt <sup> 2 </sup> represents the time evolution of the change in time Z (d <sup> 2 </sup> Z / dx <sup> 2 <sup> 2 is the same for space), c is the universal speed limit (often called the "speed of light"), and ν <sub> min </sub> is the minimum acceptable frequency for a wave in a field. They create an equation of class 0, which is simply an equation of class 1, in which the quantity ν <sub> min </sub> is zero.For a quantum of such a field, the mass </p>
<p><math> <img src=
All this is true only up to a certain limit. If all fields were to satisfy equations of class 0 or class 1, nothing would happen in the universe. Quanta would simply fly past each other and do nothing. No scattering, no collision, no formation of such interesting things as protons or atoms. So let's introduce a popular, interesting and required addition according to the experiments.

Imagine two fields, S (x, t) and Z (x, t). Imagine that the equations of motion for S (x, t) and Z (x, t) are modified versions of the equations of class 1 and 0, respectively, that is, the particles S will be massive, and the particles Z will be massless. For the time being, let us assume that the equilibrium values ​​of S 0 and Z 0 are zero

 $ d ^ 2S / dt ^ 2 - c ^ 2 d ^ 2S / dx ^ 2 = - (2  pi c ^ 2 / h) ^ 2 m_S ^ 2 S \ d ^ 2Z / dt ^ 2 - c ^ 2 d ^ 2Z / dx ^ 2 = 0 $ "data- Tex = "display" /> </math>
<p> We will complicate the equations in a way that is universally present in the real world: specifically, they contain additional terms in which S (x, t) is multiplied with Z (x, t) </p>
<p><math> <img src=

 $ d ^ 2s / dt ^ 2 - c ^ 2 d ^ 2s / dx ^ 2 = - (2  pi c ^ 2 / h ) ^ 2 (m_S ^ 2 s + y ^ 2 [S_0 + s] Z ^ 2) $ "data-tex =" display "/> </math>
<p><math> <img src=

This is the basic idea. In this article, I did not disclose a lot of obvious questions – why will there necessarily be members in the equations that include products of two or more fields (how important are these members to read here)? Why would known particles be massless if there were no Higgs field? Why does the Higgs field have an equilibrium value that is nonzero, although this is not the case for most other fields? How does the Higgs particle relate to all this? In the following articles I will try to reveal these and other topics.

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