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Browsing Applied Mathematics by Subject "mathematical physics"
Now showing items 1-3 of 3
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A Covariant Natural Ultraviolet Cutoff in Inflationary Cosmology
(University of Waterloo, 2013-08-28)In the field of quantum gravity, it is widely expected that some form of a minimum length scale, or ultraviolet cutoff, exists in nature. Recently, a new natural ultraviolet cutoff that is fully covariant was proposed. In ... -
A geometric investigation of non-regular separation applied to the bi-Helmholtz equation & its connection to symmetry operators
(University of Waterloo, 2024-05-23)The theory of non-regular separation is examined in its geometric form and applied to the bi-Helmholtz equation in the flat coordinate systems in 2-dimensions. It is shown that the bi-Helmholtz equation does not admit ... -
Non-compact groups, tensor operators and applications to quantum gravity
(University of Waterloo, 2016-09-23)This work focuses on non-compact groups and their applications to quantum gravity, mainly through the use of tensor operators. Non-compact groups appear naturally if the space-time is of Lorentzian signature, but can also ...