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The photon mathematically



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

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

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