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Causal fermion systems are introduced as a general mathematical framework for formulating relativistic quantum theory.
J. Bognár, Indefinite Inner Product Spaces , Springer-Verlag, New York, 1974, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 78
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P.R. Halmos, Measure Theory , Springer, New York, 1974
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H. Baum, Spinor structures and Dirac operators on pseudo-Riemannian manifolds , Bull. Polish Acad. Sci. Math. 33
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L. Bombelli, J. Lee, D. Meyer, and R.D. Sorkin, Space-time as a causal set , Phys. Rev. Lett. 59
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H.B. Lawson, Jr. and M.-L. Michelsohn, Spin Geometry , Princeton Mathematical Series, vol. 38, Princeton University Press, Princeton, NJ, 1989
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F. Finster, Derivation of local gauge freedom from a measurement principle , arXiv:funct-an/9701002, Photon and Poincare Group (V. Dvoeglazov, ed.), Nova Science Publishers, 1999, pp. 315–325
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by same author, The Principle of the Fermionic Projector , hep-th/0001048, hep-th/0202059, hep-th/0210121, AMS/IP Studies in Advanced Mathematics, vol. 35, American Mathematical Society, Providence, RI, 2006
2006
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by same author, Fermion systems in discrete space-time—outer symmetries and spontaneous symmetry breaking , arXiv:math-ph/0601039, Adv. Theor. Math. Phys. 11
2007
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by same author, A variational principle in discrete space-time: Existence of minimizers , arXiv:math-ph/0503069, Calc. Var. Partial Differential Equations 29
2007
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