81 citations · 175 across the 30 of their papers we have counts for
5 papers · 1 filter
The Xi-transform for conformally flat space-time
George Sparling
The Xi-transform is a new spinor transform arising naturally in Einstein's general relativity. Here the example of conformally flat space-time is discussed in detail. In particular…
Spacetime is spinorial; new dimensions are timelike
George A. J. Sparling
A new theory of fundamental physics is presented; it predicts that the new dimensions that may be observed by the Large Hadron Collider are timelike.
The Null Decomposition of Conformal Algebras
Dana Mihai, George A. J. Sparling
We analyze the decomposition of the enveloping algebra of the conformal algebra in arbitrary dimension with respect to the mass-squared operator. It emerges that the subalgebra tha…
The structure of cosmic time
George Sparling
Following the approach of Julien Lesgourgues [astro-ph/0409426], we analyze the mathematical structure of the time co-ordinate of present day cosmological models, where these model…
Fedosov Observables on Constant Curvature Manifolds and the Klein-Gordon Equation
Philip Tillman, George Sparling
In this paper we construct the set of quantum mechanical observables in the Fedosov *-formalism (a coordinate invariant way to do quantum mechanics on any manifold M) of a single f…