Forays into Mathematical Physics
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Date
2007-09-27T17:43:51Z
Authors
Hackett, Jonathan
Journal Title
Journal ISSN
Volume Title
Publisher
University of Waterloo
Abstract
Two different works in mathematical physics are presented:
A construction of conformal infinity in null and spatial directions is constructed
for the Rainbow-flat space-time corresponding to doubly special relativity. From
this construction a definition of asymptotic DSRness is put forward which is com-
patible with the correspondence principle of Rainbow gravity. Furthermore a result
equating asymptotically flat space-times with asymptotically DSR spacetimes is
presented.
An overview of microlocality in braided ribbon networks is presented. Follow-
ing this, a series of definitions are presented to explore the concept of microlocality
and the topology of ribbon networks. Isolated substructure of ribbon networks are
introduced, and a theorem is proven that allows them to be relocated. This is fol-
lowed by a demonstration of microlocal translations. Additionally, an investigation
into macrolocality and the implications of invariants in braided ribbon networks
are presented.
Description
Keywords
Quantum Gravity, General Relativity