Inertia

On the Unification of Gravity and Inertia in Classical Mechanics

The origin of inertia is explained in non-relativistic classical Lagrangian mechanics by a unified theory of gravity and inertia based on the free-inertia mechanics of H. Jürgen Treder. It implements Mach’s principle and inertia having a gravitational origin without anisotropic inertial mass. Inertia arises from a velocity-dependent part of the gravitational potential. The weak equivalence principle, the gravitational constant, inertial mass and inertial forces are derived naturally. By Dennis Braun.

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Why Gravity is Non-Linear

Why is gravity non-linear? We explore the non-linear consequences of General Relativity such as the perihelion shift of Mercury, and other tests such as light bending, and how they relate to linear Newtonian theory. How can a Machian theory unifying inertia and gravity be relativized? MOND is neccesarily non-linear by observations. What does this tell us about it?

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How General Relativity fails to explain Galaxy Dynamics

Newtonian gravity cannot explain galaxy dynamics and their rotation curves. But can General Relavity explain them? We explore the linear approximation of General Relativity (gravitomagnetism) and apply it the orbits of stars in galaxies. The question of whether boundary conditions can play a role in explaining the dark matter effects in galaxies is also addressed.

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