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Causal Fermion Systems: Spacetime as the web of correlations of a many-body quantum system
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In this paper, we argue that spacetime in causal fermion systems can be understood as the web of correlations of a many-body quantum system.This argument highlights the fact that causal fermion systems is a completely relational theory. We also explain how our perception of a background (spacetime) emerges in the limit where the number of states taken in consideration goes to infinity. This thereby constitutes a complete viable ontology for causal fermion systems which are not reliant on the continuum limit. A key insight is the fact that in a relevant subset of causal fermion systems, which includes the continuum limit of the Minkowski vacuum spacetime, minimization of the causal action can be understood as a minimization of fluctuations in the causal structure of spacetime.
Forward citations
Cited by 2 Pith papers
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Construction of Currents in Causal Fermion Systems
A probing construction on the linearized causal action recovers Maxwell's equations at rank one, with coupling independent of the regularization length.
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Emergent Gravity from Topological Quantum Field Theory: Stochastic Gradient Flow Perspective away from the Quantum Gravity Problem
A stochastic gradient flow of Wilczek's pre-geometric theory is claimed to interpolate between an infrared fixed point given by General Relativity and an ultraviolet fixed point given by a topological BF theory.
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