On the origin of the matter-antimatter asymmetry in self-gravitating systems at ultra-high temperatures
Abstract
Description
It is shown, that self-gravitating systems can be classified by a dimensionless constant positive number $κ= S T / E$, which can be determined from the (global) values for the entropy, temperature and (total) energy. The Kerr-Newman black hole family is characterized by $κ$ in the range $0-1/2$, depending on the dimensionless ratios of angular momentum and charge squared to the horizon area, $J/A$ and $Q^2/A$. By analyzing the most general case of an ultra-relativistic ideal gas with non-zero chemical potential it is shown, that $κ$ is an important parameter which determines the (local) thermodynamic properties of an ultra-relativistic gas. $κ$ only depends on the chemical potential per temperature $u = μ/ T$ and on the ratio of bosonic to fermionic degrees of freedom $r_F = f_B / f_F$. A gas with zero chemical potential has $κ= 4/3$. Whenever $κ< 4/3$ the gas must acquire a non-zero chemical potential. This non-zero chemical potential induces a natural matter-antimatter asymmetry, whenever microscopic statistical thermodynamics can be applied. The recently discovered holographic solution describes a compact self gravitating black hole type object with an interior, well defined matter state. One can associate a local - possibly observer-dependent - value of $κ$ to the interior matter, which lies in the range $2/3-1$ (for the uncharged case). This finding is used to construct an alternative scenario of baryogenesis in the context of the holographic solution, based on quasi-equilibrium thermodynamics.
51 pages, 2 figures, appendix "thermodynamics of an ideal gas" (14 pages)
51 pages, 2 figures, appendix "thermodynamics of an ideal gas" (14 pages)