Strong spin-two interaction and general relativity

Abstract

The concept of short range strong spin-two (f) field (mediated by massive f-mesons) and interacting directly with hadrons was introduced along with the infinite range (g) field in early seventies. In the present review of this growing area (often referred to as strong gravity) we give a general relativistic treatment in terms of Einstein-type (non-abelian gauge) field equations with a coupling constant G/subf ⋍ 10/sup38 G/subN (G/subN being the Newtonian constant) and a cosmological term λ/subf ƒ; /subμν (ƒ; /subμν is strong gravity metric and λ/subf ~ 10/sup28 cm- is related to the f-meson mass). The solutions of field equations linearized over de Sitter (uniformly curves) background are capable of having connections with internal symmetries of hadrons and yielding mass formulae of SU(3) or SU(6) type. The hadrons emerge as de Sitter ``microuniverses'' intensely curved within (radius of curvature ~10/sup-14 cm). The study of spinor fields in the context of strong gravity has led to Heisenberg's non-linear spinor equation with a fundamental length ~2 × 10/sup-14 cm. Furthermore, one finds repulsive spin-spin interaction when two identical spin-1/2 particles are in parallel configuration and a connection between weak interaction and strong gravity. Various other consequences of strong gravity embrace black hole (solitonic) solutions representing hadronic bags with possible quark confinement, Regge-like relations between spins and masses, connection with monopoles and dyons, quantum geons and friedmons, hadronic temperature, prevention of gravitational singularities, providing a physical basis for Dirac's two metric and large numbers hypothesis and projected unification with other basic interactions through extended supergravity.