Existence and uniqueness of a smooth alignment time function minimizing a misalignment-plus-null-penalty functional in compact subsets of smooth stably causal spacetimes.
and van den Beld-Serrano, M.,Baryogenesis in Conformally Flat Spacetimes, arXiv:2504.17434 (2025)
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Causal fermion systems are constructed for globally hyperbolic spacetimes such that their continuum limit satisfies the Euler-Lagrange equations of the causal action principle if and only if the coupled Einstein-Dirac equations hold.
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The alignment time function
Existence and uniqueness of a smooth alignment time function minimizing a misalignment-plus-null-penalty functional in compact subsets of smooth stably causal spacetimes.
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The Continuum Limit Analysis of Causal Fermion Systems for Curved Spacetimes
Causal fermion systems are constructed for globally hyperbolic spacetimes such that their continuum limit satisfies the Euler-Lagrange equations of the causal action principle if and only if the coupled Einstein-Dirac equations hold.