The relation between gravitational mass, inertial mass, and velocity

1986 ◽  
Vol 54 (4) ◽  
pp. 340-342 ◽  
Author(s):  
Ling Tsai
Keyword(s):  
Inertial Mass ◽  
Gravitational Mass

REMARKS ON GRAVITATIONAL SOURCES

1995 ◽  
Vol 10 (36) ◽  
pp. 2801-2808 ◽  
Author(s):  
Y. JACK NG ◽  
HENDRIK VAN DAM
Keyword(s):  
Finite Volume ◽  
Quantum Fluctuations ◽  
Inertial Mass ◽  
Gravitational Mass ◽  
Time Averaging ◽  
Classical Level ◽  
Gravitational Fields ◽  
Classical Object ◽  
Spacetime Metric

We show that, due to quantum fluctuations of the spacetime metric, any source of observable static gravitational fields is a classical object. We also show that, at the classical level, the gravitational mass of any system of finite volume is equal to its inertial mass in general only after time averaging.

The law of gravitation

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Gravitational Field ◽  
Internal Energy ◽  
Poisson Equation ◽  
Gravitational Force ◽  
Inertial Mass ◽  
Point Particle ◽  
Gravitational Mass ◽  
Cohesive Forces ◽  
The Poisson Equation ◽  
Reference Body

This chapter embarks on the study of Newton’s law of gravitation. It first discusses gravitational mass and inertial mass, a measure of the ‘resistance’ of the point particle to an applied force. The numerical value of the inertial mass of a body can in principle be obtained from collision experiments by assigning to a reference body a unit inertial mass of one kilogram or, more rigorously, one ‘inertial kilogram’. Next, the chapter considers the ratio of gravitational and inertial masses. It considers that, in the absence of friction, all objects, no matter what their inertial mass, or the nature of their constituents, or the internal energy or cohesive forces of their constituents, fall in the same way in an external gravitational field. Finally, this chapter studies Newton’s gravitational force and field, as well as the Poisson equation and the gravitational Lagrangian.

Superfluid Quantum Vacuum Model,Mass-Energy Equivalence, Inertia, and Gravity

2019 ◽  
Author(s):  
Amrit Sorli ◽  
Manuel Malaver ◽  
Santanu Kumar Patro
Keyword(s):  
Inertial Mass ◽  
Variable Density ◽  
Gravitational Mass ◽  
Quantum Vacuum ◽  
Mass Energy ◽  
Vacuum Fluctuations ◽  
Vacuum Model ◽  
Energy Equivalence ◽  
Superfluid Vacuum

In this paper, we present the Superfluid Vacuum model in order to explain mass-energy equivalence, inertia and gravity. We found that this model confirms that inertial mass and gravitational mass are equal and have this origin in the vacuum fluctuations caused by the variable density of vacuum.

The Interaction of Economic Entities. Science Analogy

2020 ◽  
Vol 8 (3) ◽  
pp. 8-17
Author(s):  
V. Babanov ◽  
V. Homyakov
Keyword(s):  
Laws Of Nature ◽  
Inertial Mass ◽  
Gravitational Mass ◽  
Universal Gravitation ◽  
Economic Entity ◽  
Fundamental Reason ◽  
The Law ◽  
Law Of Attraction

The article discusses the possibility of using the results of some Sciences (in this case, the Law of universal gravitation) in the study of other Sciences. The Law of universal gravitation, which is one of the most important laws of nature, is described. The interaction of economic entities from the standpoint of the Law of universal gravitation is considered. The features of interaction between sellers and buyers are studied. It established that the fundamental reason for the attraction of economic entities is the need to meet their needs. The process of meeting the needs of an economic entity is described. The following concepts are introduced: inertial mass (mass of stability) of an economic subject, gravitational mass (mass of attraction) of an economic subject. The features of these indicators are studied. The analysis of changes in the forces of attraction between economic entities in the process of their interaction are carried out. The law of attraction of two economic entities is formulated.

scholarly journals The Vacuum Polarization Paradox and Its Solution

2018 ◽  
Author(s):  
Engel Roza
Keyword(s):  
Dark Matter ◽  
Equivalence Principle ◽  
Vacuum Polarization ◽  
Inertial Mass ◽  
Gravitational Mass ◽  
Quantum Mechanical ◽  
Entropy Model ◽  
Heuristic Approaches

In this article various heuristic approaches are discussed to solve the dark matter phenomenon by the concept of vacuum polarization. They are compared with a more fundamental approach, based upon an entropy model of the visible universe. They all make use of some kind of gravitational dipole. These dipoles seem to violate Einstein’s equivalence principle between inertial mass and gravitational mass. It is shown how the paradox can be solved by a quantum mechanical principle.

scholarly journals The Vacuum Polarization Paradox and Its Solution

2019 ◽  
Author(s):  
Engel Roza
Keyword(s):  
Dark Matter ◽  
Equivalence Principle ◽  
Vacuum Polarization ◽  
Inertial Mass ◽  
Gravitational Mass ◽  
Quantum Mechanical ◽  
Entropy Model ◽  
Heuristic Approaches

In this article various heuristic approaches are discussed to solve the dark matter phenomenon by the concept of vacuum polarization. They are compared with a more fundamental approach, based upon an entropy model of the visible universe. They all make use of some kind of gravitational dipole. These dipoles seem to violate Einstein’s equivalence principle between inertial mass and gravitational mass. It is shown how the paradox can be solved by a quantum mechanical principle.

scholarly journals Note on Relativistic Mechanics

1935 ◽  
Vol 4 (3) ◽  
pp. 170-174 ◽  
Author(s):  
A. G. Walker
Keyword(s):  
Gravitational Field ◽  
Inertial Mass ◽  
Frame Of Reference ◽  
Poisson’S Equation ◽  
Gravitational Mass ◽  
Local Problem ◽  
Rotating Frame ◽  
Poisson's Equation ◽  
General Relativistic

The object of this note is to derive a form of Poisson's equation from general relativistic mechanics, without assuming the field to be either static or “weak”. The problem is essentially a “local” problem, all observations being made by one observer; this observer determines the apparent gravitational field in his vicinity by observing the motions of free (isolated) particles. Defining gravitational mass by means of Poisson's equation, we find the relation between the densities of gravitational and inertial mass relative to any observer. We also find what may be called the non-rotating frame of reference belonging to any observer.

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