It was shown in [4] that due to the distributed nature of matter in a spinning body it was possible for the spin circumference to achieve the terminal velocity in D₀, (the velocity constant c, ~ the velocity of light), while the mass was still finite. It was subsequently shown that should the spin rate be further increased, to avoid the spin circumference exceeding the terminal velocity, it must shed the increased kinetic energy by radiating it in the form of electromagnetic radiation, (a photon emission), from the spin circumference. The frequency and wavelength were, in accordance with Planck's quantum law to be proportional to the energy input causing the increased spin rate. In the case of electron orbital transitions and associated spectral emissions it is proposed that it is this mechanism that is responsible for the photon emissions that initiate such transitions.

To support this proposal it is necessary to show that within atomic structure the electron, by virtue of its spin characteristic, is capable of inducing this mechanism. First, to prove that it is the spin of the electron that is responsible, and not some attribute of its orbital motion, it is known from relativistic theory that the addition of two independently driven velocities of any object is given by

v₁ is the velocity of moving axes in D₀. v¢₂ is the velocity of some object in the moving axes. v is the velocity of the object in D₀.

In the case of some random point on the circumferential surface of a spinning electron in an orbital, (3.5) is restated as

v is now the velocity of the random point on the circumferential surface of the electron. v_or is the translational velocity of the electron in its orbit of the nucleus. w¢_sp is the spin rate of the electron in axes attached to it. G_e is the physical radius of the electron at the spin circumference.

For the purpose of photon emission initiation the first part of (3.7) can be discounted because this would incur the electron mass becoming infinite and its orbital consequently unstable. It is therefore only via the second part of (3.7) that the circumferential surface of the electron can achieve "light" velocity, and thereby initiate a photon emission and therefore an orbital transition.

It is now necessary to prove that this condition will actually be achieved by an electron due to its spin. To show this, it is first necessary to pre-empt results from a future paper. They concern the physical configuration of the electron. In order to exhibit a magnetic dipole of the correct strength, it will be shown in the next paper that the electron's configuration must be that of a very thin wall spherical shell, the outer surface of which carries the electric charge. The angular momentum of such a shell is derived in Appendix A, and the result of equating this to the spin angular momentum quantum criteria is then

w¢_sp = 1.189379662E +23 radians/sec.

w¢_sp G_e = 3.351600525E +10cm/sec

which is 1.117967846c. Thus for the electron to meet its spin angular momentum quantum criteria it would be necessary for its spin induced circumferential velocity to exceed the velocity of light. This confirms that electron spin is capable of inducing photon emissions and electron orbital transitions via the mechanism proposed above.

This appears to be an anomalous result in line with the statement in Section 2.1 from [3], in that in satisfying (3.8) and (3.9), the criterion of existence of the electron in D₀ would be contravened. However, in a future paper, in which the transition mechanism is finalised, it will be shown that the above "potential" anomalous result is central to the workings of this mechanism.