In the present work the detection, by means of a nondemolition measurement, of a Yukawa term, coexisting simultaneously with gravity, has been considered. In other words, a nondemolition variable for the case of a particle immersed in a gravitational field containing a Yukawa term is obtained. Afterwards the continuous monitoring of this nondemolition parameter is analyzed, the corresponding pr...

It is discussed how the Weyl geometric generalization of Riemannian geometry relates to Jordan-Brans-Dicke theory and how it leads to a weak generalization of Einstein gravity. The generalization of geometry goes back to Weyl’s proposal of 1918; the generalization of gravity was proposed by Omote, Utiyama, Dirac and others in the 1970s. Here we reconsider the conceptual potential of this approa...

Accurate calculation of the gradual inspiral motion in an extreme mass-ratio binary system, in which a compact-object inspirals towards a supermassive black-hole requires calculation of the interaction between the compact-object and the gravitational perturbations that it induces. These metric perturbations satisfy linear partial differential equations on a curved background spacetime induced b...

We prove the existence of some types of periodic orbits for a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous circle. These types include periodic orbits very far and very near the homogeneous circle, as well as eight and spiral periodic orbits. In this paper we use geometric arguments to demonstrate the existence of some ty...

We demonstrate that the de Broglie wave of a particle in gravitational field turns toward region lower potential, causing to fall. This turning is caused by clocks running slower smaller potential. use analogy ocean waves are shallower water and turn beaches. approach implies motion along geodesic explains free fall qualitatively quantitatively with only elementary algebra.

We study the interaction of a scalar and a spinning particle with a coherent linearized gravitational wave field treated as a classical spin two external field. The spin degrees of freedom of the spinning particle are described by skew-commuting variables. We derive the explicit expressions for the eigenfunctions and the Green's functions of the theory. The discussion is exact within the approx...

*Correspondence: Nicolao Fornengo, Dipartimento di Fisica, Università di Torino and Istituto Nazionale di Fisica Nucleare, Via P. Giuria 1, Torino 10125, Italy e-mail: [email protected] Anisotropies in the electromagnetic emission produced by dark matter (DM) annihilation or decay in the extragalactic sky are a recent tool in the quest for a particle DM evidence. We review the formalism to co...

Abstract By modeling the particle as a two-dimensional oscillator with natural angular frequency equal to Zitterbewegung frequency, expression of gravitational force between two particles is obtained. Gravitational effect absorption-scattering CZPF background by oscillators. The connection and electrostatic interaction