43 citations
6 papers
Black Holes in Elliptical and Spiral Galaxies and in Globular Clusters
Reginald T. Cahill
Supermassive black holes have been discovered at the centers of galaxies, and also in globular clusters. The data shows correlations between the black hole mass and the elliptical…
The Michelson and Morley 1887 Experiment and the Discovery of Absolute Motion
Reginald T. Cahill
Physics textbooks assert that in the famous interferometer 1887 experiment to detect absolute motion Michelson and Morley saw no rotation-induced fringe shifts - the signature of a…
The Speed of Light and the Einstein Legacy: 1905-2005
Reginald T Cahill
That the speed of light is always c=300,000km/s relative to any observer in nonaccelerating motion is one of the foundational concepts of physics. Experimentally this was supposed…
The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case
Alan L. Carey, John Phillips, Adam Rennie +1
We generalise the even local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von Neumann algebra. The proof is a…
The Local Index Formula in Semifinite von Neumann Algebras I: Spectral Flow
Alan L. Carey, John Phillips, Adam Rennie +1
We generalise the local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von Neumann algebra. In this setting it…
Wavelets and Hilbert modules
Peter John Wood
A Hilbert module is a generalisation of a Hilbert space for which the inner product takes its values in a C*-algebra instead of the complex numbers. We use the bracket product to c…