Geometrical gauge theory of gravity and elementary particle forces

Physics

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The basic forces of nature, mediated by spin-one and spin-two particles, are unified within a geometrical gauge theory. Gravity, electromagnetism, and strong forces are described by two nonsymmetric fields gμν and sμν. Field equations are derived from a variational principle. The field equations possess an exact (classical) nonsingular solution that corresponds to a geometrical object called a gheon (gravitational-hadronic-electromagnetic entity). Space inside a gheon is Euclidean four-dimensional and a gheon can have event horizons. The gheons describe hadrons and at the classical level permanently confine quarks. The event horizons trap normal hadrons and can also radiate them, producing a thermal hadronic spectrum. There exists a limit in which the field equations reduce to Einstein-Maxwell equations. In this limit, the gheons shrink to point singularities. By matching the boundary conditions of the solutions of a scalar field equation on the surface of a gheon, a discrete mass spectrum for a scalar particle is obtained. A hadronic mass formula of the Gell-Mann-Okubo type is derived for an isolated black gheon.

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