On Emergent Gravity, Black Hole Entropy and Galactic Rotation Curves

TL;DR

This paper proposes a generalized gravitational force derived from entropic principles that explains galactic rotation curves and explores black hole entropy, bridging quantum gravity and astrophysical phenomena.

Contribution

It introduces a new entropic gravity model that accounts for galactic dynamics and derives a modified entropy-area relationship for black holes.

Findings

Generalized Newtonian force explains galactic rotation curves

Modified black hole entropy-area relation derived

Entropic gravity provides insights into astrophysical phenomena

Abstract

In this work we derive a generalized Newtonian gravitational force and show that it can account for the anomalous galactic rotation curves. We derive the entropy-area relationship applying the Feynman-Hibbs procedure to the supersymmetric Wheeler-DeWitt equation of the Schwarzschild black hole. We obtain the modifications to the Newtonian gravitational force from the entropic formulation of gravity.