27 citations · 69 across the 9 of their papers we have counts for
9 papers
Linear Bosonic Quantum Field Theories Arising from Causal Variational Principles
Claudio Dappiaggi, Felix Finster, Marco Oppio
It is shown that the linearized fields of causal variational principles give rise to linear bosonic quantum field theories. The properties of these field theories are studied and c…
Hölder Continuity of the Integrated Causal Lagrangian in Minkowski Space
Marco Oppio
It is proven that the kernel of the fermionic projector of regularized Dirac sea vacua in Minkowski Space is -integrable. The proof is carried out in the specific setting of a…
The Linear Dynamics of Wave Functions in Causal Fermion Systems
Felix Finster, Niky Kamran, Marco Oppio
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 pro…
Causal Fermion Systems and the ETH Approach to Quantum Theory
Felix Finster, Jürg Fröhlich, Marco Oppio +1
After reviewing the theory of "causal fermion systems" (CFS theory) and the "Events, Trees, and Histories Approach" to quantum theory (ETH approach), we compare some of the mathema…
Local Algebras for Causal Fermion Systems in Minkowski Space
Felix Finster, Marco Oppio
A notion of local algebras is introduced in the theory of causal fermion systems. Their properties are studied in the example of the regularized Dirac sea vacuum in Minkowski space…
On the Mathematical Foundations of Causal Fermion Systems in Minkowski Space
Marco Oppio
The emergence of the concept of a causal fermion system is revisited and further investigated for the vacuum Dirac equation in Minkowski space. After a brief recap of the Dirac equ…
The correct formulation of Gleason's theorem in quaternionic Hilbert spaces
Valter Moretti, Marco Oppio
From the viewpoint of the theory of orthomodular lattices of elementary propositions, Quantum Theories can be formulated in real, complex or quaternionic Hilbert spaces as establis…
Quantum theory in quaternionic Hilbert space: How Poincaré symmetry reduces the theory to the standard complex one
Valter Moretti, Marco Oppio
We extend some results of group representation theory and von Neumann algebras to the quaternionic Hilbert space case, proving the double commutant theorem (whose quaternionic proo…
Quantum theory in real Hilbert space: How the complex Hilbert space structure emerges from Poincaré symmetry
Valter Moretti, Marco Oppio
As established by Solèr, Quantum Theories may be formulated in real, complex or quaternionic Hilbert spaces only. Stückelberg provided physical reasons for ruling out real Hilbert…