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We propose a formulation of a Lorentzian quantum geometry based on the framework of causal fermion systems.
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by same author, Light-cone expansion of the Dirac sea to first order in the external potential , arXiv:hep-th/9707128, Michigan Math. J. 46
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V. Moretti, Proof of the symmetry of the off-diagonal heat-kernel and Hadamard’s expansion coefficients in general C ∞ C^{\infty} Riemannian manifolds , Comm. Math. Phys. 208
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M. Paschke and R. Verch, Local covariant quantum field theory over spectral geometries , gr-qc/0405057, Classical Quantum Gravity 21
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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
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C. Kiefer, Quantum Gravity , second ed., International Series of Monographs on Physics, vol. 136, Oxford University Press, Oxford, 2007
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Cited alongside, same era.
I. Gohberg, P. Lancaster, and L. Rodman, Indefinite Linear Algebra and Applications , Birkhäuser Verlag, Basel, 2005
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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
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A. Strohmaier, On noncommutative and pseudo-Riemannian geometry , math-ph/0110001, J. Geom. Phys. 56
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2006
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C. Bär, N. Ginoux, and F. Pfäffle, Wave Equations on Lorentzian Manifolds and Quantization , ESI Lectures in Mathematics and Physics, European Mathematical Society (EMS), Zürich, 2007
2007
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K. Becker, M. Becker, and J.H. Schwarz, String Theory and M-Theory , Cambridge University Press, Cambridge, 2007
2007
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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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2009
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2010
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2010
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2011
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A. Grotz, A Lorentzian quantum geometry , Dissertation Universität Regensburg, urn:nbn:de:bvb:355-epub-231289, 2011
2011
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2012
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F. Finster, O. Müller, M. Nardmann, J. Tolksdorf, and E. Zeidler, Quantum Field Theory and Gravity. Conceptual and mathematical advances in the search for a unified framework. , Birkhäuser Verlag, Basel, 2012
2012
Closest in time.