A model is presented in which the Pioneer anomaly is not related to the motion of the spaceship, but is a consequence of the acceleration of the cosmological proper time τ with respect to the coordinate parametric time t, i. e. of the value of d2τ/dt2 (> 0). Assuming flat spatial sections and that all the matter and energy is uniformly distributed throughout the universe, it is shown that this ...

In this work we study an r-species mixture of gases within the relativistic kinetic theory point of view. We use the relativistic covariant Boltzmann equation and incorporate the Schwarzschild metric. The method of solution of the Boltzmann equation is a combination of the Chapman-Enskog and Grad representations. The thermodynamic four-fluxes are expressed as functions of the thermodynamic forc...

The Cosmic Microwave Background (CMB) physics can be used to constrain the dark energy dynamics: B modes of the polarization of the diffuse CMB emission as well as the polarized signal towards clusters of galaxies are sensitive to the Hubble expansion rate and thus the dark energy abundance in the early stage of cosmic acceleration. The first effect is sourced by gravitational lensing of large ...

1066 People need to process the absolute distance and size of objects in order to act in the environment. For example, in order to catch and grasp a thrown ball successfully, a person must place his/her hands in the appropriate spatial position and in an appropriate conformation. To do so, he/she must use an appropriate combination of absolute variables (size of the ball, its distance, velocity...

We extend the construction of Born’s Reciprocal Phase Space Relativity to the case of Clifford Spaces which involve the use of polyvectors and a lower/upper length scale. We present the generalized polyvector-valued velocity and acceleration/force boosts in Clifford Phase Spaces and find an explicit Clifford algebraic realization of the velocity and acceleration/force boosts. Finally, we provid...

We study time–dependent backgrounds in the low energy regimes of string theories. In particular the emphasis is on the general study of exotic phenomena such as positive acceleration and gravitational bounces. We generalize the usual Hawking–Penrose cosmological singularity theorems to higher–dimensional spacetimes and discuss their implications for time–dependent solutions in supergravity theo...

The equations which determine the response of a charged particle moving in a magnetic field to an incident gravitational wave(GW) are derived in the linearized approximation to general relativity. We briefly discuss several astrophysical applications of the derived formulae taking into account the resonance between the wave and the particle’s motion which occurs at ωg = 2Ω, whenever the GW is p...