Quantum Dynamics of the Massive Graviton

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Scientific paper

A massive bosonic graviton made from a fermionic pair state is proposed to form a polarizable mass-spacetime having an RP^3 topology, i.e., 3D projective space, Quantum dynamical manifold equations (QDMEs) are found coupling these states to the medium and solved. The elementary pair states (closed shells) have spins (+2,0,-2). The gravitons have a rest momentum allowing them to be used in describing galaxies receding from each other (Hubble expansion). Symmetry induced hybridization gives a two branched energy spectrum reminiscent of liquid helium. The effective mass of the gravitons, computed in a semi-classical approximation, is found to vanish. However, including interactions leads to an effective mass proportional to the particle-particle interaction energy. This interaction energy or graviton rest mass is found to be about 5x10-8 MeV using data from rotation curves for ten galaxies in Ursa Major and a Bose-Einstein condensate (BEC) model for the warm dark matter of each galaxy. This provides a partial explanation for dark matter in these galaxies and ten relatively consistent estimates of the graviton rest mass. Régimes in mass-spacetime where the gravitational interaction is attractive or repulsive are found, depending on the temperature and density of gravitons.

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