Abstract
A space-time approach to the grand unified theory of the quarks and the leptons is given by starting from Weyl’s tetrad formalism of the theory of general relativity. In this approach the lepton appears as a part of the space-time structure to prepare a local Lorentz frame which is indispensable for the description of the quark described by a Dirac spinor in conformity with the principle of general relativity, and the parallelism between the quark and the lepton is built in from the outset. The lepton thus introduced has a characteristic interaction with the gravitational field. So through this interaction this scheme can be tested experimentally, at least in principle. In this paper the discussion is restricted to the case in which only one kind of quark and lepton is included. In this respect it is still not realistic.
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