There are substantial indications that point towards the gravitational constant no being a universal constant, but a derived parameter and a variable in a more fundamental theory of gravity. We explore how the gravitational constant introduces a preferred scale in gravitation, the approaches to remove it, and its possible uses to solve unexplained observations.
Newton’s gravitational constant is not fundamental Read More »
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.
Is MOND an an effect of cosmic frame-dragging à la Mach? Read More »
Erik Verlinde’s entropic gravity was claimed to explain dark matter in galaxy rotation curves as a modification to gravity similar to Modified Newtonian Dynamics MOND. But does it really work as good as MOND? Has Verlinde truly derived MOND and its acceleration scale constant from first principles?
Verlinde’s Entropic Gravity and Dark Matter Read More »
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.
Machian MOND: a variable acceleration scale constant in galaxy clusters Read More »