I'm not a physics major, but it appears superficial, non conclusive and light on math. At this point it's not a theory, but an (interesting as it may be) speculation.
"The hypothesis of gravity being an entropic force has a history that goes back to research on black hole thermodynamics by Bekenstein and Hawking in the mid-1970s. These studies suggest a deep connection between gravity and thermodynamics." http://en.wikipedia.org/wiki/Gravity_as_an_entropic_force
someone might be able to find a better source.