What is it about?
n a time-symmetric form, classical relativistic formulations involve not only a reference time but also relatively advanced and retarded times. This work examines a simple model problem having this structure with the equations of motion having closed-form solutions. The complexity of more realistic models is avoided while the general features are retained. The determinism and causality of the theory are clearly demonstrated. Some problems associated with the quantization of power series representations using conventional procedures are illustrated and discussed.
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Why is it important?
This effort tries to ascertain the causality and the quantization of the Fokker-Wheeler-Feynman (FWF) theory by focussing on a much simpler problem, namely the Feynman-Hibbs model. We find a closed form solution and the quantization used the technique of the problem of Lagrange or equivalently the Jacobi-Ostragadski procedure. The causality is assured. The quantization can produce spurious solutions but are identified.
Perspectives
It's a matter of applying this to the full general FWF theory but with some reservations. However, the high-energy collision energies found previously for the 'Darmstadt Monster' are in doubt.
Dr Tony Cyril Scott
RWTH-Aachen University
Read the Original
This page is a summary of: Causality and quantization of time-delay systems: A model problem, Physical Review A, September 1995, American Physical Society (APS),
DOI: 10.1103/physreva.52.1831.
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