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Newton's second law has limited scope of application when transient phenomena are present. We consider a modification of Newton's second law in order to take into account a sudden change (surge) of angular momentum or linear momentum. We…

Classical Physics · Physics 2019-03-22 Mario J. Pinheiro , Marcus Büker

The field equations of general relativity can be derived from the Einstein action, which is quadratic in connection coefficients, rather than the standard action involving the Gibbons-Hawking-York term and counterterm. We show that it is…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Martin Krššák

The intrinsic metric symmetries for energy-momentum in warped space-time universally reinforce strict spatial flatness in the GR metric formalism. The passive/active energy-charge for the 1686, 1913, and 1915 gravitational laws maintains…

Mathematical Physics · Physics 2008-05-13 Igor Bulyzhenkov

The physical property of mass has two distinct aspects, gravitational mass and inertial mass. The weight of a particle depends on its gravitational mass. According to the weak form of the equivalence principle, the gravitational and…

General Physics · Physics 2007-05-23 Fran De Aquino

Active Brownian motion commonly assumes spherical overdamped particles. However, self-propelled particles are often neither symmetric nor overdamped yet underlie random fluctuations from their surroundings. Active Brownian motion has…

Soft Condensed Matter · Physics 2022-10-03 Jonas Mayer Martins , Raphael Wittkowski

The current status of Mach's principle is discussed within the context of general relativity. The inertial properties of a particle are determined by its mass and spin, since these characterize the irreducible unitary representations of the…

General Relativity and Quantum Cosmology · Physics 2020-07-29 B. Mashhoon

An alternative, scalar theory of gravitation has been proposed, based on a mechanism/interpretation of gravity as being a pressure force: Archimedes' thrust. In it, the gravitational field affects the physical standards of space and time,…

General Physics · Physics 2016-12-26 Mayeul Arminjon

Interactions with ordinary matter of a flux of high-speed uncharged dark matter particles pervasively present in space are examined. In this model, we find that the property of matter that we designate as mass becomes a measure of the…

General Physics · Physics 2007-05-23 C. L. Herzenberg

The entropic formulation of the inertia and the gravity relies on quantum, geometrical and informational arguments. The fact that the results are completly classical is missleading. In this paper we argue that the entropic formulation…

High Energy Physics - Theory · Physics 2015-05-18 M. A. Santos , I. V. Vancea

We consider non-relativistic point-particles coupled to Einstein gravity and their canonical quantization. From the resulting Wheeler-DeWitt wave equation we determine a quantum version of geometrodynamics, where the coupled evolution of…

General Relativity and Quantum Cosmology · Physics 2021-08-19 Christian Maes , Kasper Meerts , Ward Struyve

We present a novel derivation of the spacetime metric generated by matter, without invoking Einstein's field equations. For static sources, the metric arises from a relativistic formulation of D'Alembert's principle, where the inertial…

History and Philosophy of Physics · Physics 2025-10-17 Jaume de Haro , Emilio Elizalde

We consider the electromagnetic field occurring in the background of a static, axially symmetric vacuum solution of Einstein's field equations immersed in an external magnetic field. The solution, known as the $\gamma$ metric (or…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Carlos A. Benavides-Gallego , Ahmadjon Abdujabbarov , Daniele Malafarina , Bobomurat Ahmedov , Cosimo Bambi

The Einsteinian Theory of Gravitation ("General Theory of Relativity") is founded essentially; on the reception that the geometrical properties of the 4-dimensional space-time continuum are defined from the matter in it. Contrary to this,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael Mattes

The infinite dimensional generalization of the quantum mechanics of extended objects, namely, the quantum field theory of extended objects is employed to address the hitherto nonrenormalizable gravitational interaction following which the…

High Energy Physics - Theory · Physics 2009-09-25 Ramchander R. Sastry

Riemann's principle "force equals geometry" provided the basis for Einstein's General Relativity - the geometric theory of gravitation. In this paper, we follow this principle to derive the dynamics for any static, conservative force. The…

General Physics · Physics 2019-12-19 Y. Friedman , T. Scarr , J. Steiner

The Fermi-point scenario of emergent gravity has the following consequences: gravity emerges together with fermionic and bosonic matter; emergent fermionic matter consists of massless Weyl fermions; emergent bosonic matter consists of gauge…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. E. Volovik

We review a novel and authentic way to quantize gravity. This novel approach is based on the fact that Einstein gravity can be formulated in terms of a symplectic geometry rather than a Riemannian geometry in the context of emergent…

High Energy Physics - Theory · Physics 2014-12-30 Jungjai Lee , Hyun Seok Yang

(Short abstract). In Galilean physics, the universality of free fall implies an inertial frame, which in turns implies that the mass m of the falling body is omitted. Otherwise, an additional acceleration proportional to m/M would rise…

General Relativity and Quantum Cosmology · Physics 2016-09-20 Alessandro D. A. M. Spallicci , Maurice H. P. M. van Putten

One of the highlight of this note is that the author presents the relativistic gravity field that Einstein was looking for. The field is a byproduct of the matter in motion. This field can include both the discrete and continuous…

Mathematical Physics · Physics 2009-10-06 Victor M. Bogdan

The nature of space-time and surrounding matter objects was and persists to be a one of the most intriguing and challenging problems facing the mankind and natural scientists especially. As we know one of the most brilliant inventions in…

General Relativity and Quantum Cosmology · Physics 2008-10-26 Anatoliy K. Prykarpatsky , Nikolai N. Bogolubov