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It is pointed out that at present we only prove that inertial static mass and gravitational static mass are equivalent. We have not proved that inertial moving mass and gravitational moving mass are also equivalent. It is proved by the…

General Physics · Physics 2007-05-23 Mei Xiaochun

Time variation of Newtonian gravitational constant, $G$, is studied in the model universe with variable space dimension proposed recently. Using the Lagrangian formulation of these models, we find the effective gravitational constant as a…

General Relativity and Quantum Cosmology · Physics 2011-08-17 R. Mansouri , F. Nasseri , M. Khorrami

Starting from first principles and general assumptions Newton's law of gravitation is shown to arise naturally and unavoidably in a theory in which space is emergent through a holographic scenario. Gravity is explained as an entropic force…

High Energy Physics - Theory · Physics 2011-04-20 Erik P. Verlinde

A precision measurement of the gravitational constant $G$ has been made using a beam balance. Special attention has been given to determining the calibration, the effect of a possible nonlinearity of the balance and the zero-point variation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 St. Schlamminger , E. Holzschuh , W. Kündig , F. Nolting , R. E. Pixley , J. Schurr , U. Straumann

The earlier paper, Inertial Mass, Its Mechanics - What It Is; How It Operates, developed the mechanics of inertial mass. The present paper is for the purpose of equivalently developing gravitation. The behavior of gravitation is well known,…

General Physics · Physics 2007-05-23 Roger Ellman

A specific form of the inertial law is presented by which we can have some deeper insight into the essence of mass and inertia. In this modified theory, there is no need to keep the concept of absolute space and Newton's third law as…

Classical Physics · Physics 2007-05-23 Amir H. Abbassi , Amir M. Abbassi

Measurements of the gravitational constant $G$ are notoriously difficult. Individual state-of-the-art experiments have managed to determine the value of $G$ with high precision: although, when considered collectively, the range in the…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Stefano Rinaldi , Hannah Middleton , Walter Del Pozzo , Jonathan Gair

From a rigorous historic analysis of 1686 I. Newton and 1905 A. Einstein works where the last derived the universal mass-energy relationship, it is concluded that rest mass measures potential energy. From the same formula used to obtain…

General Physics · Physics 2012-10-17 Rafael A. Valls Hidalgo-Gato

In 1687, Sir Issac Newton published The Mathematical Principles of Natural Philosophy in which the law of universal gravitation was derived. It is the first inverse-square law discovered in nature, combined with Coulomb's law in 1785, the…

Fluid Dynamics · Physics 2021-10-07 Zhi Wu Jiang , Hang Ding , Er Qiang Li

It is generally assumed that any discrepancy between an object's inertial and gravitational masses, leading to a violation of the equivalence principle, arises from the nature of its internal constituents and their interactions. We show…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Saurya Das , Mitja Fridman , Sourav Sur

A sinusoidally time-varying pattern of the values of the Newton's constant of gravitation $G$ measured in Earth-based laboratories over the latest decades has been recently reported in the literature. We put to the test the hypothesis that…

General Relativity and Quantum Cosmology · Physics 2016-01-22 Lorenzo Iorio

According to Mach's principle inertia has its reason in the presence of all masses in the universe. Despite there is a lot of sympathy for this plausible idea, only a few quantitative frameworks have been proposed to test it. In this paper…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander Unzicker

According to Newton's law of gravitation the force between two particles depends upon their inertial, as well as their active and passive gravitational masses. For ordinary matter all three of these are equal and positive. We consider here…

General Relativity and Quantum Cosmology · Physics 2019-04-19 Sabbir Rahman

Coulomb's constant is defined as a value for attraction and repulsion. However, it is strange that only one value can be applied for both attraction and repulsion. A very little difference between coulomb's constant for attraction and…

General Physics · Physics 2025-04-22 Yoji Hagiya

A theory of 3-space explains the phenomenon of gravity as arising from the time-dependence and inhomogeneity of the differential flow of this 3-space. The emergent theory of gravity has two gravitational constants: G - Newton's constant,…

General Physics · Physics 2007-05-23 Reginald T. Cahill

At gravitational interactions of bodies and particles there appears the defect of masses, i.e. the energy yields since the bodies (or particles) are attracted. It is shown that this changing of the effective mass of the body (or the…

Astrophysics · Physics 2007-05-23 Kh. M. Beshtoev

Gravitation is the common underlying texture between General Relativity and Quantum Mechanics. We take gravitation as the link that can make possible the marriage between these two sciences. We use here the duality of Nature for…

General Physics · Physics 2008-11-26 Antonio Alfonso-Faus

Since the first detection of gravitational waves, they have been used to investigate various fundamental problems, including the variation of physical constants. Regarding the gravitational constant, previous works focused on the effect of…

General Relativity and Quantum Cosmology · Physics 2023-08-10 Jiachen An , Yadong Xue , Zhoujian Cao , Xiaokai He , Bing Sun

The historical and conceptual foundations of General Relativity are revisited, putting the main focus on the physical meaning of the invariant ds, the Equivalence Principle, and the precise interpretation of spacetime geometry. It is argued…

History and Philosophy of Physics · Physics 2026-01-26 Jaume de Haro , Emilio Elizalde

A mass distribution is analyzed in terms of classical gravitational field theory. Newton's law of gravitation is consistently applied on the assumption that the equivalence of energy and mass according to Einstein's theory of relativity is…

General Physics · Physics 2015-05-26 Helmut Kling