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Dirac's æther in curved spacetime

Proca's equations for two types of fields in a Dirac's æther with electric conductivity sigma are solved exactly. The Proca electromagnetic fields are assumed with cylindrical symmetry. The background is a static, curved spacetime whose spatial section is homogeneous and has the topology of either the three-sphere S³ or the projective three-space P³. Simple relations between the range of Proca field lambda, the Universe radius R, the limit of photon rest mass mgamma and the conductivity sigma are written down.

Dirac's æther; Proca Field; curved spacetime; three-sphere; projective three-space


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