Abstract
Five-dimensional relativity, based on the 5-dimensional vacuum equations Rμν = 0, is interpreted as a general relativistic field theory describing the inner structure of extended elementary particles. The most general} spherically symmetric, purely electric and asymptotically flat solution of the field equations is calculated. The mass formula of this solution depends on two parameters h > 0 and q > 0, and the mass surface over the (h-q)-plane shows two slits at h= and These slits can be tentatively identified as hadron branch for h= and lepton branch for In the slits hadrons and leptons with their masses and extensions can be settled in local minima.
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