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A Lorentzian quantum geometry

URN to cite this document: urn:nbn:de:bvb:355-epub-231289

Grotz, Andreas (2012) A Lorentzian quantum geometry. PhD, Universität Regensburg.

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Abstract (English)

In this thesis, a formulation of a Lorentzian quantum geometry based on the framework of causal fermion systems is proposed. After giving the general definition of causal fermion systems, we deduce space-time as a topological space with an underlying causal structure. Restricting attention to systems of spin dimension two, we derive the objects of our quantum geometry: the spin space, the ...


Translation of the abstract (German)

In dieser Arbeit wird der Formalismus einer Lorentz-Quantengeometrie vorgestellt, basierend auf dem Rahmen kausaler Fermionsysteme. Ausgehend von diesen Systemen wird die Raumzeit als topologischer Raum mit einer kausalen Struktur eingeführt. Im Fall von Spindimension zwei werden anschließend die Begriffe und Objekte der Quantengeometrie definiert: Der Spinraum, der Tangentialraum, versehen mit ...


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Item type:Thesis of the University of Regensburg (PhD)
Date:13 January 2012
Referee:Prof. Dr. Felix Finster and PD Dr. Jürgen Tolksdorf
Date of exam:21 December 2011
Institutions:Mathematics > Prof. Dr. Felix Finster
Keywords:quantum geometry, Lorentzian geometry, causal fermion system
Dewey Decimal Classification:500 Science > 510 Mathematics
500 Science > 530 Physics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Deposited on:13 Jan 2012 07:55
Last modified:13 Mar 2014 18:23
Item ID:23128
Owner only: item control page


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