831 citations · 2.1k across the 68 of their papers we have counts for
68 papers
A Machian definition of particle mass in higher-dimensional gravity
Paul S. Wesson
A new method involving the effective wave function is used to define the mass of a particle in a standard five-dimensional extension of general relativity. The mass is inversely pr…
Waves and causality in higher dimensions
Paul S. Wesson, James M. Overduin
We give a new, wave-like solution of the field equations of five-dimensional relativity. In ordinary three-dimensional space, the waves resemble de Broglie or matter waves, whose p…
The Status of Modern Five-Dimensional Gravity
Paul S. Wesson
Recent criticism of higher-dimensional extensions of Einstein's theory is considered. This may have some justification as regards string theory, but is misguided as applied to five…
The Dispersion Relation for Matter Waves in a Two-Phase Vacuum
Paul S. Wesson
The cosmological constant (lambda) of general relativity is a natural consequence of embedding Einstein's theory in a five-dimensional theory of the type needed for unification. Th…
Scaling Relations for the Cosmological "Constant" in Five-Dimensional Relativity
Paul S. Wesson, James M. Overduin
When the cosmological "constant" is derived from modern five-dimensional relativity, exact solutions imply that for small systems it scales in proportion to the square of the mass.…
Higher-Dimensional Communication and S.E.T.I
Paul S. Wesson
In cosmologies with more than four dimensions, of the type required for unification, it is possible for signals to have velocities in excess of that of light. Using a five-dimensio…