Mach’s principle

Is MOND an an effect of cosmic frame-dragging à la Mach?

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The origin and physical mechanism of Modified Newtonian Dynamics (MOND) is unknown. We derive the acceleration scale constant a0 and MOND’s interpolating function from a linear approximation to General Relativity which implements Mach’s principle and the relativity of acceleration, in a modified inertia model. This proof of concept motivates the possibility that MOND arises from large-scale linear inertial frame-dragging induced by the expanding universe within General Relativity.

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Machian MOND: a variable acceleration scale constant in galaxy clusters

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MOND predicts galaxy rotation curves but falls short in galaxy clusters. A variable acceleration scale constant in MOND is proposed within a Machian interpretation, which predicts a boost of accelerations in galaxy clusters without the need for new constants or free parameters, in constrast to EMOND. We test the proposed formulation in a toy model and generalize the it by introducing a directionless field as a scalar sum of inverse-squared distance mass contributions. In colaboration with Juan D. Santander.

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On the Unification of Gravity and Inertia in Classical Mechanics

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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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