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- SIMON DAVIS
- 2001

A rationality condition for the existence of odd perfect numbers is used to derive an upper bound for the density of odd integers such that σ (N) could be equal to 2N, where N belongs to a fixed interval with a lower limit greater than 10 300. The rationality of the square root expression consisting of a product of repunits multiplied by twice the base of… (More)

The uptake of new interface technologies, such as the Oculus Rift have generated renewed interest in virtual reality especially for private entertainment use. However, long standing issues with unwanted side effects, such as nausea from cybersickness, continue to impact on the general use of devices such as head mounted displays. This in turn has slowed the… (More)

- S. Davis, William A. Webb
- 1989

- Simon Davis
- 1997

Some general remarks are made about the quantum theory of scalar fields and the definition of momentum in curved space. Special emphasis is given to field theory in anti-de Sitter space, as it represents a maximally symmetric space-time of constant curvature which could arise in the local description of matter interactions in the small regions of… (More)

Evidence from studies of provocative motion indicates that motion sickness is tightly linked to the disturbances of thermoregulation. The major aim of the current study was to determine whether provocative visual stimuli (immersion into the virtual reality simulating rides on a rollercoaster) affect skin temperature that reflects thermoregulatory cutaneous… (More)

- Allan Cunliffe, Helen Heslop, Simon Davis, Andrew Wilson
- 2011

- Simon Davis
- 1998

The quantum cosmology of a higher-derivative gravity theory arising from the heterotic string effective action is reviewed. A new type of Wheeler-DeWitt equation is obtained when the dilaton is coupled to the quadratic curvature terms. Techniques for solving the Wheeler-DeWitt equation with appropriate boundary conditions shall be described, and… (More)

- Simon Davis
- 1996

With the standard fibre being a coset manifold, the transformation of a connection form in a fibre bundle under the action of the isometry group includes a dependence on the fibre coordinate. Elimination of the fibre coordinate from the transformation rule implies that the standard fibre is a Lie group and that the bundle is a principal bundle. The… (More)

- Simon Davis
- 1996

Symmetries of generalized gravitational actions, yielding field equations which typically involve at most second-order derivatives of the metric, are considered. The field equations for several different higher-derivative theories in the first-order formalism are derived, and variations of a generic set of higher-order curvature terms appearing in string… (More)