Several Ways to Calculate the Universal Gravitational Constant <i>G</i>Theoretically and Cubic Splines to Verify Its Measured Value

In 1686, Newton discovered the laws of gravitation [1] and predicted the universal gravitational constant . In 1798, with a torsion balance, Cavendish [2] measured . Due to the low intensity of gravitation, it is difficult to obtain reliable results because they are disturbed by surrounding masses and environmental phenomena. Modern physics is unable to link G with other constants. However, in a 2019 article [3], with a new cosmological model, we showed that G seams related to other constants, and we obtained a theoretical value of . Here, we want to show that our theoretical value of G is the right one by interpreting measurements of G with the help of a new technique using cubic splines. We make the hypothesis that most G measurements are affected by an unknown systematic error which creates two main groups of data. We obtain a measured value of . Knowing that our theoretical value of G is in agreement with the measured value, we want to establish a direct link between G and as many other constants as possible to show, with 33 equations, that G is probably linked with most constants in the universe. These equations may be useful for astrophysicists who work in this domain. Since we have been able to link G with Hubble parameter H0 (which evolve since its reverse gives the apparent age of the universe), we deduce that G is likely not truly constant. It’s value probably slowly varies in time and space. However, at our location in the universe and for a relatively short period, this parameter may seem constant.

On The Gravitational Shielding, Gravitational Permeability and Hidden Matter

The possibility of gravitational shielding from more massive objects than the Moon-planet Earth and the giant planets of the Solar System is considered. Within the framework of the Lesage concept, the mutual spatial shielding of mass-forming elements-atomic nuclei in ordinary matter-was evaluated. It is concluded that the size of the Moon is insufficient for tangible gravitational shielding and partial mutual shielding is about 50% for planet Earth. It is determined that there is a critical thickness of ordinary matter at which complete mutual shielding of atomic nuclei is observed. The estimated critical thickness is about dc=1.3 X 108m, which is typical for the sizes of giant planets. It is concluded that due to the presence of gravitational shielding, not the entire mass of massive celestial bodies participates in the act of gravitational interaction, which leads to the conclusion that there is a hidden mass of massive objects and to low values in the calculation of the density of the giant planets of the Solar System. It has been established that the true mass and true density of giant planets exceed their known values by 5 times. The presence of gravitational shielding from the planet Earth leads to a revision of the physical picture of nature and the consequences of tidal forces. The idea of P. Dirac concerning the accounting of the sizes of microparticles-nucleons, expressed for the further development of the physical theory, is realized. The gravitational size of the atomic nucleus is calculated on the order of 10-18 m.

Consideration of the Daily Variation of Gravity on the Manifestation of Gravitational Shielding

The result of mathematical and physical analysis of the daily change in gravity is presented. The subject of consideration was the manifestation of semi-daily factors in diurnal variations of gravity. The assumption is investigated, according to which the cause of the half-day factors is the gravitational shielding of the planet Earth. Gravitational shielding is considered as a function of the size and thickness of celestial bodies and growing with distance from their poles. It is concluded that the planet Earth has the property of partial gravitational shielding, and the Moon does not have enough thickness to exhibit a tangible gravitational shielding. The obtained mathematical results correspond to the existing experimental data. It is suggested that gravitational shielding is the cause of the precession of the perihelion of Mercury and the peculiarities of the manifestation of tidal processes. It is assumed that gravitational shielding is one of the main reasons for the presence of hidden substances in the Universe. It is concluded that the physical picture with mutual shielding of interaction elements corresponds to the classical ideas of Fatio and Lesage. This approach is proposed as an alternative point of view to the existing theory on the description of tidal processes. It is shown that the existing basic approach to the description of tidal forces is unsatisfactory: the factors underlying the existing approaches have values 10 times less than those observed and cannot be considered as the reason for the manifestation of half-day manifestations in the daily change in gravity. The work is a continuation of the implementation by the author of P. Dirac’s ideas about accounting for the size of microparticles in physical theory.