## The photon mathematically

**When you are interested in physics you must read “Unbelievable“!**

The electron at rest has energy equal to:

The first part of the formula describes the electrostatic energy and the second part the magnetic spin energy. When the electron moves with speed *v* the interaction with the ether declines with the Lorentz-factor (*Rv/Re*). The charge of the electron is contracted to a smaller sphere. The radius *Re* shrinks to *Rv* and the potential energy increases therefore also with the Lorentz-factor:

The radius of the moving electron will be:

When the electron is halted the magnetic energy and the potential electrostatic energy are not in balance. The spin-energy of the electron (*Re*) is not sufficient anymore to confine the charge of the electron to a sphere with radius *Rv*. The electron will expand to *Re*, where the expanding potential force is again in equilibrium with contracting magnetic force of the spin energy. The overflow of magnetic- and kinetic energy of the electron will cause the electron to oscillate. The equation for the total energy of the electron can now be expressed as follows:

The third part of the equation, the oscillation energy *hv*, is the surplus energy of the electron. The oscillation energy expressed in the energy of the electron at rest is:

*Figure 19. The declining radius of an electron in motion.*

The photon oscillation frequency can be expressed in the “standard oscillation frequency” of the electron. The standard oscillation frequency of the electron *ξ* is the oscillation frequency of the electron when the oscillation energy is equal to the intrinsic energy of the electron at rest:

The frequency of the emitted photon can directly be calculated out of the speed *v* and standard oscillation frequency of the electron:

**Next chapter: Time dilatation**