Fundamentally, how is dark matter theory relevant to quantum mechanics?
Hi, Not quite correct. Dark matter was predicted by branches of cosmology, by looking at rotational speeds of galaxies and other massive cosmological objects, gravitational lensing and other phenomenon. Now where dark matter and quantum mechanics are comming together is in another class of theories attempts to reconcile gravitation with quantum mechanics and obtain corrections to the conventional gravitational interaction. In scalar-tensor theories, scalar fields like the Higgs field couple to the curvature given through the Riemann tensor or its traces. In many such theories, the scalar field equals the inflaton field, which is needed to explain the inflation of the universe after the Big Bang, as the dominating factor of the quintessence or Dark Energy. Using an approach based on the exact renormalization group, M. Reuter and H. Weyer have shown that Newton’s constant and the cosmological constant can be scalar functions on spacetime if one associates renormalization scales to the po