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The Linear Dynamics of Wave Functions in Causal Fermion Systems

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arxiv 2101.08673 v2 pith:P4L6UEAZ submitted 2021-01-21 math-ph gr-qcmath.APmath.MP

Felix Finster , Niky Kamran , Marco Oppio This is my paper · ORCID
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The dynamics of spinorial wave functions in a causal fermion system is studied. A so-called dynamical wave equation is derived. Its solutions form a Hilbert space, whose scalar product is represented by a conserved surface layer integral. We prove under general assumptions that the initial value problem for the dynamical wave equation admits a unique global solution. Causal Green's operators are constructed and analyzed. Our findings are illustrated in the example of the regularized Minkowski vacuum.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Geometric Derivation of the Einstein Equations from the Causal Action Principle

    math-ph 2026-07 conditional novelty 7.0 of 10

    Using osculating vacua, the authors derive Einstein's equations from the causal action principle, with the gravitational coupling identified as the square of the regularization length.

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