Abstract:
The longitude of the perihelion advance of Mercury was calculated for the
two and ten-body problem by using a correction to the balance between the force
given by the Newton 2^{nd} law of motion and the Newton gravitational
force. The corresponding system of differential equations was solved
numerically. The correction, that expresses the apparent mass variation with
the body speed, has a trend that is different from those that usually appear in
the electron theory and in the special theory of relativity. The calculated
intrinsic precession was ~42.95 arc-sec/cy for the Sun-Mercury system and
~42.98 arc-sec/cy when the difference between the corrected model and the Newtonian
model, for the 10-body problem, is taken.

Abstract:
By analytically solving a corrected balance between the force given by
the Newton’s 2^{nd} law and the Newton gravitational force in polar
coordinates, an equation for the intrinsic (i.e. two-body problem) perihelion precession of the planets of the solar system was
obtained that when the Kepler’s 3^{rd} law is applied it coincides with
the equation resulting from Einstein GTR.

Abstract:
A physical fundament was derived to support the empirical correction to
the balance between the force given by Newton 2^{nd} law and Newton
gravitation introduced previously by the author to account for the perihelion precession
of Mercury. An equation was obtained that coincided in sign and magnitude with
the Einstein perihelion shift when the 3^{rd} law of Kepler was used to
express the orbital period in term of the semi-major axis and the same level of
accuracy was demanded. Other more accurate equations for the intrinsic
perihelion shift were obtained that resulted in a relative deviation of about
1% or less.

The impact of the geometry on the gravitational force field and the impact of the mass beyond the test particle location were assessed in the rotation curve calculation of a hypothetical thin disk galaxy using Newtonian and Mondian dynamics. An effective equation for the characteristic acceleration of MOND was obtained based on the Mestel’s finite disk by normalizing the line mass density to the total mass of the galaxy and equating it to the theoretical value.

The Baryonic Tully-Fisher
relation was extended to clusters hypothesizing that a_{0}, the characteristic acceleration of the Modified
Newtonian Dynamics (MOND), depends on the mass of the system. Circular speeds
were calculated for systems with mass up to 10^{21} M_{☉}. The relativistic impact on super massive systems
was considered using the extended Newtonian theory for gravitational bound
systems. The impact was an increase of the circular velocity for systems with
mass beyond ~10^{19} M_{☉}.

The gravitational
deflection angle of celestial bodies travelling near the sun with large
eccentricity was derived using the extended Newtonian theory (ENET) and
Einstein general theory of relativity (GTR). It was found that the
non-Newtonian gravitational deflection of celestial bodies for ENET is 1.5
times the prediction of GTR. The deflection angle of the photon however
coincided with the light deflection of GTR. It was also found that the photon’s
gravitational deflection obeys (as in GTR) an ODE which is a special case of
the one for relativistic celestial bodies.

A snapshot of the circular speed as a function of the radius in a spin-ning-homogeneous spherical universe was obtained using a mass-dependent characteristic-acceleration in the Modified Newtonian Dynamics (MOND paradigm as a modified 2nd law of Newton) with and without considering the impact of the relativistic speed. To consider the impact of the relativistic speed the Extended Newtonian Theory (ENET), previously developed by the author, was used. The corresponding kinetic energy equation for ENET is however reported in this work for the first time. The speed profile shows a non-linear trend with features that has been experimentally noted before. It was shown that the Hubble law (for circular speeds) can be inferred from the results for a distance range close to the experimental results of the Hubble telescope key project. The calculation considering the impact of the relativistic speeds yields a very distinctive tail towards the edge of the universe that has been noted before. It is striking that a spinning universe model yields (without any reference to dark matter or dark energy) observed features of a universe which, based on photometric and spectral line measurements, is currently interpreted as radially expanding at an accelerated rate.

Abstract:
We investigate the electric field induced resistive switching effect and magnetic field induced fraction enlargement on a polycrystalline sample of a colossal magnetoresistive compound displaying intrinsic phase coexistence. Our data show that the electric effect (presumably related to the presence of inhomogeinities) is present in a broad temperature range(300 to 20 K), being observable even in a mostly homogeneous ferromagnetic state. In the temperature range in which low magnetic field determines the phase coexistence fraction, both effects, though related to different mechanisms, are found to determine multilevel nonvolatile memory capabilities simultaneously.

Abstract:
The possible application of the barocaloric effect to produce solid state refrigerators is a topic of interest in the field of applied physics. In this work, we present experimental data about the influence of external pressure on the magnetic properties of a manganite with phase separation. Using the Jahn Teller effect associated with the presence of the charge ordering we were able to follow the transition to the ferromagnetic state induced by pressure. We also demonstrated that external pressure can assist the ferromagnetic state, decreasing the magnetic field necessary to generate the magnetic transition.

Abstract:
We present magnetic and transport measurements on La5/8-yPryCa3/8MnO3 with y = 0.3, a manganite compound exhibiting intrinsic multiphase coexistence of sub-micrometric ferromagnetic and antiferromagnetic charge ordered regions. Time relaxation effects between 60 and 120K, and the obtained magnetic and resistive viscosities, unveils the dynamic nature of the phase separated state. An experimental procedure based on the derivative of the time relaxation after the application and removal of a magnetic field enables the determination of the otherwise unreachable equilibrium state of the phase separated system. With this procedure the equilibrium phase fraction for zero field as a function of temperature is obtained. The presented results allow a correlation between the distance of the system to the equilibrium state and its relaxation behavior.