Spin, Planck s constant h and constant G

Spin is measured in values called the reduced Bar.  The spin corresponding to one is a rotation in space (3+1+1 ) at three hundred and sixty degrees.  Multiples of it correspond to rotations at angles equal to one divided by the corresponding multiples of angles (for example, spin 1/2 is equal to the angle of rotation by 720 degrees).  Most likely, spin resembles the spatial spiral of Archimedes in ( 3+1+1 ) space.   The value of the Planck constant divided by 2p ( two pi )  it corresponds to the step of the spiral "a" in it.  Spin, like a spiral, can have a right and left direction.   Let's look at some interesting coincidences between spin and the Archimedean spiral.  Both branches of the spiral ( right and left )  They are described by a single equation.  The positive values of the angle f in it correspond to the right spiral, the negative values correspond to the left spiral.  If a point moves from negative values to positive values through the center of rotation, it will describe both branches of the spiral.  This is very similar to the movement of quarks in the space of weak interactions, when a quark behaves simultaneously as a particle and an antiparticle.   And another interesting coincidence: suppose that a point object moves in a Cartesian coordinate system with a constant velocity V directed parallel to the X axis relative to the X1Y1 plane.  If the plane X1Y1 rotates with a constant angular velocity w around the Z axis , then the velocity of the point relative to the Z axis can be written as :

 | Vo| = ( V2 + (w x V x t)^2 )^0.5.

 The projection of the velocity V on the X and Y axes will be equal :

Vx =  V  x  cos w x t  -   (w x  ( V x t )) x  sin w x t ;

Vy = V  x  sin w x t  + ( w x ( V x t)) x cos w x t

Shown in Fig. 1
Now let's turn to the theory of electroweak interaction, and compare the above formulas with the formulas of this theory for the photon Y and the boson Zo, which are a superposition of the other two particles - Bo and Wo :

Zo = Wo x  cos Os  -  Bo x  sin Qs ,

Y = Wo  x sin Os  +  Bo x cos Os  , 

where Os is the electroweak Weisberg angle.

It is possible to notice the coincidence of formulas for particles in a single space of electroweak interactions and formulas for velocities in a flat two-dimensional Archimedean spiral, according to their structural component, which indicates the similarity of their physical meanings.  Later, when the splitting of the electroweak space into the space of electromagnetic interactions and the space of weak interactions occurred, the relationship between the spaces of electromagnetic, strong and weak interactions most likely took the form of a spatial Archimedean spiral with spin transitions between spaces.


With a change in the dimension of space (after splitting the electroweak interaction), the Flat energy spiral of Archimedes acquired the appearance of a more general case of the Archimedes spiral, which is a spatial spiral.  At the same time, when the electroweak interactions formed a single whole, gravity did not exist in the form in which it exists now.  Gravity in the form in which it exists now appeared when the splitting of electroweak interactions took place. What appeared ( 3+1+1 ) is a dimensional space, the graphical form of which is shown in Fig. 2. The three coordinates of this space are
 energy coordinates, one coordinate is gravitational, and the other is temporal. This is reminiscent of drawings showing the curvature of space near massive bodies in the theory of relativity.  Three energy coordinates for the electromagnetic interaction space of this spiral (the lowest energy level) they correspond to the inductance of the magnetic field B, the strength of the magnetic field H and the strength of the electric field E. A spatial spiral with transitions between electromagnetic, weak and strong interactions is shown in Fig. 2. When rotated by two pi (three hundred and sixty degrees) according to the spatial spiral of Archimedes, the properties of space in the spiral of Archimedes change.  These spaces of the Archimedes spiral differ from each other and have the properties of spaces of electromagnetic, strong and weak interactions. At the same time, the transition from the four-dimensional space of electromagnetic interactions to our three-dimensional space has characteristics that are related to Planck's constant and  G's gravitational constant. The spins of the particles have the appearance of a Mobius filament (ribbon), coiled into a spiral, with transitions between electromagnetic, strong and weak interactions.  That is, spin can be represented as the rotation of a thread by a Weinberg angle (left and right) relative to the spiral of the spatial Archimedean spiral, which is called weak isotopic spin. Spin of the transition of properties from the four-dimensional space of existence of particles with a large number of degrees of freedom of particles to our three-dimensional space with fewer degrees of freedom.  Let me remind you that in four-dimensional space, rotation is determined by six angular parameters and four spatial parameters. In three-dimensional space, rotation is determined by three angular parameters and three spatial parameters.


±W bosons and Z bosons are the result of the decay of an unstable particle of a higher energy level to a particle of a lower energy level.
In this case, energy is released in the form of ± W boson and Z boson.
±W bosons in the decay of particles correspond to the sum of the rotation of the weak isotopic spin of the left or right direction plus another rotation relative to it by the Weinberg angle, when the sum of these
 turns have one direction.   Depending on the direction of the sum of rotations to the left or right, ±W bosons will have the sign of an electric charge +   or the sign - .   
Z bosons correspond to the sum of rotations of the isotopic spin of the left or right direction plus another rotation relative to it by the Weinberg angle, when this sum of rotations has the opposite direction.   As a result, the electric charge of the Z boson is zero.