Five‐dimensional relativity and extended elementary particles

Five‐dimensional relativity, based on the 5‐dimensional vacuum equations R μν = 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= ${1 \over 2}$ and$h = \sqrt{3}/4$ . These slits can be tentatively identified as hadron branch for h= ${1 \over 2}$ and lepton branch for$h = \sqrt{3}/4$ . In the slits hadrons and leptons with their masses and extensions can be settled in local minima.