Authors: Clifford E Chafin
A classical field theory is introduced that is defined on a tower of dimensionally increasing spaces and is argued to be equivalent to QED. The domain of dependence is discussed to show how an equal times picture of the many coordinate space gives QED results as part of a well posed initial value formalism. Identical particle symmetries are not, a priori, required but when introduced are clearly propagated. This construction uses only classical fields to provide some explanation for why quantum fields and canonical commutation results have been successful. Some old and essential questions regarding causality of propagators are resolved. The problem of resummation, generally forbidden for conditionally convergent series, is discussed from the standpoint of particular truncations of the infinite tower of functions and a two step adiabatic turn on for scattering. As a result of this approach it is shown that the photon inherits its quantization \hbar ω from the free lagrangian of the Dirac electrons despite the fact that the free electromagnetic lagrangian has no hbar in it. This provides a possible explanation for the canonical commutation relations for quantum operators, [P,Q] = i hbar without ever needing to invoke such a quantum postulate. The form of the equal times conservation laws in this many particle field theory suggests a simplification of the radiation reaction process for fields that allows QED to arise from a sum of path integrals in the various particle time coordinates. A novel method of unifying this theory with gravity, but that has no obvious quantum field theoretic computational scheme, is introduced.
Comments: 13 Pages.
[v1] 2016-09-07 22:17:34
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