Information, uncertainty and holographic action
  In this short note we show through simple derivation the explicit relation between information flow and the theories of the emergence of space-time and gravity, specifically for Newton's second law of motion. Next, in a rather straightforward derivation the Heisenberg uncertainty relation is uncovered from the universal bound on information flow. A relation between the universal bound on information flow and the change in bulk action is also shown to exist. 
Robbert-Jan Dikken and Kelvin Ng Wei Siang
physics.gen-ph