Turing-machine limitation conjecture for unique-games dynamics

Assume the unique games conjecture and consider the dynamical systems associated with unique games instances, together with their invariant-measure scaling properties. Turing-machine limitation conjecture. If the unique games conjecture is true, no sequence of operations of a Turing machine can circumvent the scaling properties of these dynamical systems across all problem instances. This is presented as a proposed connection between computational processes and the scaling behavior of the constructed dynamical systems; the source gives no proof or resolution.