L. L. Williams
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View article: New physical parameterizations of monopole solutions in five-dimensional general relativity and the role of negative scalar field energy in vacuum solutions
New physical parameterizations of monopole solutions in five-dimensional general relativity and the role of negative scalar field energy in vacuum solutions Open
Novel parameterizations are presented for monopole solutions to the static, spherically-symmetric vacuum field equations of five-dimensional general relativity. First proposed by Kaluza, 5D general relativity unites gravity and classical e…
View article: Null-Result Test for Effect on Weight from Large Electrostatic Charge
Null-Result Test for Effect on Weight from Large Electrostatic Charge Open
We report test results searching for an effect of electrostatic charge on weight. For conducting test objects of mass of order 1 kg, we found no effect on weight, for potentials ranging from 10 V to 200 kV, corresponding to charge states r…
View article: Null-result test for effect on weight from large electrostatic charge
Null-result test for effect on weight from large electrostatic charge Open
We report test results searching for an effect of electrostatic charge on weight. For conducting test objects of mass of order 1 kilogram, we found no effect on weight, for potentials ranging from 10 V to 200 kV, corresponding to charge st…
View article: An Experimental Test of the Classical Interpretation of the Kaluza Fifth Dimension
An Experimental Test of the Classical Interpretation of the Kaluza Fifth Dimension Open
Kaluza was the first to realize that the four-dimensional gravitational field of general relativity and the classical electromagnetic field behave as if they were components of a five-dimensional gravitational field. We present a novel exp…
View article: Field Equations and Lagrangian of the Kaluza Energy-Momentum Tensor
Field Equations and Lagrangian of the Kaluza Energy-Momentum Tensor Open
We provide an analysis and statement of the source term in the classical Kaluza field equations, by considering the 5-dimensional (5D) energy-momentum tensor corresponding to the 5D geodesic hypothesis that is typically presumed in the Kal…