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Item Electrodynamics of direct interparticle action I : The quantum mechanical response of the universe(Academic Press, 1969-03-10) Hoyle, F.; Narlikar, J. V.The present paper is the first of a series that seeks to obtain results in agreement with experience from a completely time-symmetric electromagnetic theory-i.e. which does not permit an ad hoc restriction to retarded solutions of time-symmetric equations. It is remarkable that the development of a wholly time-symmetric theory must be along lines entirely different from the usual electrodynamics. While a first quantisation of the particles can readily be carried out, there can be no separate quantisation of the field, since the field is wholly determined by the particles. This raises the question of how practical results that have hitherto been thought to arise from field quantisation can be obtained. The most immediate problem of this kind concerns the spontaneous transitions of atoms. Much of the present paper is directed toward showing that this problem can indeed be solved without the need for field quantisation. Although this question might appear simple compared to other issues in quantum e1ectrodynamics-e.g. vacuum polarisation-it is not trivial in its implication, for the establishment of one such case provides a critical precedent. The path integral method of first quantisation is used to demonstrate that provided the Universe is a perfect absorber along the future light cone the usual formulae for level shifts and for spontaneous transitions can be obtained in a steady-state model of the Universe, but not in open Friedmann models.Item Cosmology and quantum electrodynamics(Nature Publishing Group, 1969-06-14) Hoyle, F.; Narlikar, J. V.Item Cosmology and electrodynamics(Nature Publishing Group, 1968-11-30) Hoyle, F.; Narlikar, J. V.Item Cosmology and quantum electrodynamics(Nature Publishing Group, 1968-07-27) Hoyle, F.; Narlikar, J. V.Item On the general correspondence between field theories and the theories of direct interparticle action(Cambridge University Press, 1968-01-10) Narlikar, J. V.It is well known that classical electrodynamics can be described both as a field theory and as a theory of direct interparticle action. In the present paper it is shown that, provided certain general conditions are satisfied, fields of arbitrary spin have their counterparts in 'direct particle fields'. This correspondence between the two formalisms is established in the Riemannian space-time used for general relativity.Item Time-symmetrical electrodynamics and cosmology(Cornell University, 1967-04-15) Hoyle, F.; Narlikar, J. V.Item Neutrinos and the arrow of time in cosmology(Royal Society, 1962-06-05) Narlikar, J. V.Hogarth's approach to the time-symmetric electrodynamics of Wheeler & Feynman is extended to apply to the neutrinos. It is shown that in some cosmological models neutrinos travelling both into the past and the future exist whereas in others only those going into the the future can exist. The Einstein-de Sitter and the steady-state models are the respective examples of the two cases. An interesting way of testing the various cosmologies by means of neutrino emitters and receivers is suggested.