Comment by Max Hennick (max-hennick-1) on Proof idea: SLT to AIT · 2025-02-11T20:17:41.857Z · LW · GW

So I have been playing around with some similar ideas but from a symbolic dynamics perspective. In that setting one can define a free energy over strings. There also exists a fractal dimension related to compressibility. The free energy and this fractal dimension are seemingly related through SI, and I suspect this fractal dimension is related to the LC. Happy to share if you think this might be useful for you.