Strings in a conformally invariant theory of gravitation and electromagnetism

Physics

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Scientific paper

A recently proposed unified theory of gravitation and electromagnetism is studied in the weak field approximation and conformally flat gauge. It requires the photon to have a mass real or imaginary (Meissner effect) depending on the sign of the cosmological constant λ, and proportional to λ1/2. Thus the range of the electromagnetic interaction must be greater than ~2 × 1027 cm. The electromagnetic field is entirely of topological origin, strings are present in the theory and the flux of the electromagnetic field is quantized. A classical normalization condition for the potential makes the flux quantum equal to +/- e, while the fine structure constant provides a scale for the rate of change in the length of a vector displaced around a closed path linking the flux.

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