Acceleration in a Fundamental Bound State Theory and the Fate of Gravitational Systems

The dynamics of a bound state theory - based on a QED like Lagrangian with fermions coupled to boson fields - has been studied explicitly. Different from the Hamilton approach studied earlier, an additional acceleration term is found, which is spurious for fundamental bound states. However, for composite systems of many particles this term drives individual particles to a coherent rotation, which lowers the kinetic energy and leads to a collapse.

Applied to gravitation - described by magnetic binding of lepton-hadron pairs - a self-consistent fit of the primary (e-p)2 bound state is obtained. Of importance, the acceleration term is quite large and drives composite systems to a collapse and complete annihilation. However, stable galactic objects are obtained, if the lowering of the kinetic energy is compensated by a reduction of binding. Of special interest, a ”matter-antimatter symmetric” system, composed of equal amounts of (e−p+) and (e+p−) pairs (or hydrogen and antihydrogen atoms), leads to a delayed and incomplete collapse, in which the matter-antimatter symmetry is broken due to the chiral structure of leptons.