QED Derived from the Two-Body Interaction

Abstract

We have shown in a previous paper that the Dirac bispinor can vary like a four-vector and that Quantum Electrodynamics (QED) can be reproduced with this form of behaviour. (2) We have also shown in part (1) (3) of this paper, that QED with the same transformational behaviour also holds in a second space which we called M-space. Here we use Mspace to show that QED can be reduced to two simple rules for a twobody interaction.

The Two-Body Interaction with a Circle in Time

“…(2) Here we add another new space, consisting of a temporal circle, which leads to further new solutions.…”

“…We also discussed a new method of quantising the classical electromagnetic field by quantising the two-body interaction, (3) which could lead to new applications. We expand this derivation of QED by including the full spectrum of possible eigenstates as a basis.…”

“…In our previous paper (2) we defined a space M that could be mapped which results in a space we call T that also maps to L. We call the plane addressed by 0 x and 3 x the temporal plane.…”

“…(9) We will call these standing waves circle waves and the interaction supplying the energy the circle interaction. We treat the circle waves as The energy required to form a circle wave can be supplied by a potential due to a second charge in L, but the inclusion of a second charge also generates a spatial circle, (2) which changes the space from T to a space of type S.…”

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AbstractWe complete our previous (1,2) demonstration that there is a family of new solutions to the photon and Dirac equations using spatial and temporal circles and four-vector behaviour of the Dirac bispinor. We analyse one solution for a bound state, which is equivalent to the attractive two-body interaction between a charged point particle and a second, which remains at rest.

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