Modified Newtonian Dynamics

Machian MOND: a variable acceleration scale constant in galaxy clusters

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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Mach’s principle: introduction to MOND and modified inertia

Mach’s principle deeply influenced Einstein’s General Relativity, and following attempts to extend gravity theories. It’s implications and ideas are explained in relation to relative acceleration, inertial forces, Newton’s bucket of water experiment, and the gravitational constant, as an introduction to theories of modified inertia such as MOND.

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Modified dynamics & dark matter: Mach’s principle, phenomenological MOND, relativity and origin of inertia

The lack of a phenomenological explanation of Modified Newtonian Dynamics and its falling short in galaxy clusters suggest that MOND is an approximation of a more fundamental theory of modified gravity or inertia. There is strong evidence for Mach’s principle and the relativity of inertia to be behind MOND, explaining dark matter effects in galaxies. A classical Machian theory implementing the relativity of inertia has been presented. A Machian explanation of MOND is in progress.

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