A quantum of darkness: Variation of cross section with gravitational scale

The existence of gravitational quantum states is well recognized, the most recent results demonstrating 'Balmer series" type resonances for gravitationally bound neutrons in the Earth's gravitational field (Abele and Leeb, 2012). Work by Ernest (2009 and 2012) has shown that in large-scale deep gravity wells, such as the halos of galaxies, many of the gravitational quantum eigenstates are very weakly interacting, particularly with respect to electromagnetic radiation. This means that from a quantum mechanical point of view, we expect that there is potential for the interaction cross sections of un-coalesced electrons and protons to be reduced when placed in these large-scale gravity wells (compared to what would be expected from equivalent measurements made in Earth based laboratories). The 'degree of darknessâ'� of a proton or electron depends on the eigenspectral composition of its wavefunction, which in turn depends on the particle 'positionâ'� and degree of wavefunction localization in phase space, and the proximity of the halo structure to 'quasi-equilibriumâ'�. Effectively, particles with appropriate eigenspectral mixes can function as the weakly interacting massive particles (WIMPS) of the lambda cold dark matter (LCDM) paradigm. Furthermore, reduced electromagnetic interaction cross sections allow the gravitational coalescing of baryons much earlier in cosmic history than is predicted from acoustic oscillation theory used in cosmic microwave background (CMB) anisotropy analysis.In this talk we present the most recent work which examines the eigenspectal compositions of particles and cross sections under various conditions. We find that particle darkness does indeed vary with halo size, particle position in the halo and the degree of localization of the particle's wavefunction. Furthermore dark states are energetically favoured in galactic halo density profiles, so that the proximity to equilibrium is accompanied by an increase in the electromagnetic 'darknessâ'� of a particle, and indeed an increase in the fractional darkness of the structure itself, along with increased darkness due to the relative 'sizeâ'� of the well.Abele, H and Leeb, H., 2012. New Journal of Physics 14 (2012) 055010Ernest A D, 2009, J. Phys. A: Math. Theor. 42:115207 and 115208Ernest A D, 2012, in Advances in Quantum Theory, I I Cotaescu, Ed., InTech, Rijeka, pp. 221'248