29 citations · 109 across the 34 of their papers we have counts for
36 papers
The Lanczos Potential for Bianchi Spacetime
Mark D. Roberts
The form and application of the Lanczos potential for Bianchi spacetime are studied. The Lanczos potential is found in some specific cases then the general case studied. It leads t…
Rotational Dimensional Reduction
Mark D. Roberts
Rotational energy dissipation in the solar system confines the planets to the ecliptic, this can be thought of as a dimensional reduction from three dimensions to two. It is argued…
Quantum Imploding Scalar Fields
Mark D. Roberts
The d'Alembertian has solution , where is a function of a null coordinate , and this allows creation of a divergent singularity out of nothing. In scalar…
Non-metric Quantum Cosmology
Mark D. Roberts
Scalar-tensor theory has arbitrary functions of the scalar field in front of the geometric and scalar terms in the Lagrangain. The extent to which these arbitrary functions appear…
Gradient systems on coupled cell networks
Miriam Manoel, Mark Roberts
For networks of coupled dynamical systems we characterize admissible functions, that is, functions whose gradient is an admissible vector field. The schematic representation of a g…
A Characteristic Particle Length
Mark D. Roberts
It is argued that there are characteristic intervals associated with any particle that can be derived without reference to the speed of light . Such intervals are inferred from…