Gravitational charges,f-gravity and hadron masses

Abstract

Two types of fundamental gravitational charges are suggested by quantization of the angular momentum (i.e. J=nħ, wheren is an integer or half integer) occurring in the uncharged and charged Kerr metrics. These charges turn out to bee/√a ande/a, wheree is the unit electric charge anda the fine structure constant. The use of strong (f) gravity leads to corresponding fundamental massesM ₁(f) ∼2.2×10⁻²⁴ g andM ₂(f)∼2.3×10⁻²³ g. It is postulated that the hadrons are composed of these fundamental entities (christened oms here). Thus mesons arediomic particles and baryons aretriomic particles. This has a close resemblance to the quark model but here we deal with gravitational charges. The charges constituting hadrons are bound together by strong (f) gravity which is super strong compared to nuclear forces. Various hadron masses are obtained as the vibrational excitations of these composite units. The above model is capable of accounting for quantum numbers such as spin, baryon number, strangeness and isospin.