A mechanism of baryogenesis for causal fermion systems

Abstract

It is shown that the theory of causal fermion systems gives rise to a novel mechanism of baryogenesis. This mechanism is worked out computationally in globally hyperbolic spacetimes in a way which enables the quantitative study in concrete cosmological situations.

Modified measures as an effective theory for causal fermion systems

“…The website is built in a modular way for the interested reader to pick those aspects of the theory they are most interested. Some connections between CFS and MMT have already been touched in [30]. The present comparison should lay the foundation to exploring these connections in more detail and in particular to launch a systematic investigation as to which of the phenomenological results in MMT can be recovered in the setting of CFS.…”

“…The focus of current research is on further solidifying the mathematical foundations of the theory and in obtaining novel predictions for open problems. In this direction it was recently shown [30] that the CFS theory allows for a novel mechanism for baryogenesis. Phenomenological consequences of this mechanism are subject of ongoing research, see, for example [28].…”

“…Phenomenological consequences of this mechanism are subject of ongoing research, see, for example [28]. The present comparison paper was motivated by the fact, that the mechanism of baryogenesis in [30] in fact requires the introduction of modified measures.…”

A mechanism for dark matter and dark energy in the theory of causal fermion systems

“…We conclude by pointing out that, although this method seems a natural and canonical starting point, we expect that, ultimately, additional effects need to be taken into account. For instance, other modifications of the Dirac equation were derived in [16], giving rise to a mechanism of baryogenesis. Moreover, it is conceivable that the dynamical behavior of the regularization might give rise to changes of the masses and coupling constants on cosmological scales (see [25] for some preliminary considerations in this direction) A systematic study of all these corrections and their mutual interplay seems an interesting project for future research.…”

“…A more modest approach and more computational approach for going beyond classical gravity is to work out small corrections to the Dirac and Einstein equations described by the EL equations of the causal action principle. This strategy was first used in [16], where modifications of the Dirac equations were derived from the EL equations and the corresponding conservation laws, giving rise to a mechanism of baryogenesis. In the present paper, we proceed in the same spirit to again derive modifications of the Dirac equation, but now giving a possible explanation for the dark Universe.…”