Mathematics – Logic
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cqgra...2..351l&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 2, May 1, 1985, p. 351-372.
Mathematics
Logic
23
Big Bang Cosmology, Electromagnetic Interactions, Gravitational Fields, Particle Production, Quantum Electrodynamics, Unified Field Theory, Broken Symmetry, Compton Effect, Dirac Equation, Electron-Positron Pairs, Pair Production, Particle Density (Concentration), Particle Mass, Photons, Relativistic Particles, S Matrix Theory
Scientific paper
General theoretical considerations concerning the effect of electromagnetic interaction on particle creation in an expanding Walker-Robinson (WFR) universe with the line element ds sq = C sq(nu)(dx sq - d nu sq), are presented. It is shown that the interaction can lead to the simultaneous creation of electron-positron pairs and photons and may therefore be a unique source of cosmological photons in conventional WR models. It is pointed out that since the electromagnetic interaction does not change the conformal-invariance properties of the theory, conformal symmetry is broken by the mass terms of the Dirac equation alone, even if the interaction is included. It is also shown that the interaction may have a significant effect on particle production at a point much later than the Planck time, when the age of the universe is close to the Compton time of Dirac particles. An explicit mathematical treatment of the problem is given in another paper.
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