Jerzy Kowalski-Glikman

A note on gravity, entropy, and BF topological field theory is an interesting paper by this Polish physicist. He takes on where Lee Smolin left off. Smolin has obtained the consequences of the work of Jerzy Plebanski for some time. I knew about Smolin when I met Riccardo Capovilla in Puebla, Mexico. We invited Capovilla to Puebla because there is a Mathematical Physics group there. Jacobson, and Capovilla had discovered an important paper by Plebanski, similar to what Ashtekar was doing at Penn State. Capovilla is now working at CINVESTAV. Smolin at some point continued to develop Plebanski's approach to Gravity.

Now Kowalski-Glikman gives a new derivation of Newton's Universal Law of Gravitation.

" In this note I argued that the form of entropic force being the starting form of the recent proposal of Verlinde [6] to seek the origin of gravity in thermodynamics can be understood if one assumes that the fundamental degrees of freedom behind it are described by the topological BF theory coupled to particle(s). The reason for this is that, as shown in [16] and discussed in [17], a particle carrying the charge of (anti) de Sitter SO(4, 1) (SO(3, 2)) group coupled to the topological BF theory with the same gauge group must have Misner string attached. This string, in turn, carries entropy, which adds to the entropy of the holographic screen S when the particle crosses it, which results in emergence of the entropic force."

Maybe Misner's string could be the Turing universal machine, if one could argue for a rule 110 one dimensional cellular automaton attached. I believe that strings in quantum theory become fractal due to Heisenberg's uncertainty principle.