Modern physics describes the mechanics of the Universe. We have discovered a new foundation for physics, which explains the components of the Universe with precision and depth. We quantify the existence of Aether, subatomic particles, and the force laws. Some aspects of the theory derive from the Standard Model, but much is unique. A key discovery from this new foundation is a mathematically co...

An optimization scheme for atomic cluster structures, based on exaggerating the importance of the gravitational force, is introduced. Results are presented for calculations on Lennard-Jones clusters of 13, 38, and 55 atoms, and the 13-atom Morse cluster.

Gravitational force and acceleration measurement devises have been in continuous development with the objective to improve the method for realizations of the gravitational acceleration measurand accurately. The accuracy requirements from the field of metrology, geodesy, geophysics and mineral exploration led to these developments. In metrology, knowledge of gravitational acceleration is require...

We highlight the fact that the lack of scale invariance in the gravitational field equations of General Relativity results from the underlying assumption that the appropriate scale for the gravitational force should be linked to the atomic scale. We show that many of the problems associated with cosmology and quantum gravity follow directly from this assumption. An alternative scale invariant p...

Based on the Maxwellian quaternionic electromagnetic theory, the electromagnetic interaction, the gravitational interaction and their coupling influence with the dark matter field in the octonionic space are discussed. The research results reveal the close relationships of dark matter field with electromagnetic field and gravitational field. In the electromagnetic field, the variation of field ...

Two models are given by crossing the Friedmann metrics with Schwarzschild and Kerr metrics. In these evolving universes with a gravitational source, the force four-vector and the corresponding potentials are evaluated. ∗e-mail: [email protected] 1

We consider conservative dynamical systems associated with potentials V which have singularities at a set SV(x) —► °° as x —► S. It is shown that various "action" integrals satisfy Condition C of Palais and Smale provided that the potential satisfy a certain strong force (SF) condition. Hence, e.g., we establish the existence in SF systems of periodic trajectories which wind around S and have a...

The effect of a constant applied external force, induced for instance by an electric or gravitational field, on the dispersion of Brownian particles in periodic media with spatially varying diffusivity, and thus mobility, is studied. We show that external forces can greatly enhance dispersion in the direction of the applied force and also modify, to a lesser extent and in some cases nonmonotoni...