А gauge model of а superstring that has а property of self-similarity has been proposed. Equations for the function of state and the Hamiltonian operator have been oЬtained Ьу means of а regular representation of the group of motion of а spinor manifold and its Lie algebra. А self-consistent boundary-value problem for eigenvalues ofthe constructed Hamiltonian operator has been solved. Energy levels corresponding to а relative mass spectrum of charged leptons е±, μ±, т± have been found. А possiЫe reason for the existence of three generations of elementary fermions has been discovered.
Department of Quantum Statistics and Field Theory
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