A note on the Turing universality of homogeneous potential wells and geodesible flows
Abstract
We explore some properties of flows with strongly adapted 1-forms, originally discovered in (Tao 2017), which can be used to embed Turing machines into dynamical systems. In particular, we discuss some relations to geodesible flows, and show that even a slight modification of the dynamical system, such as homogeneity, can lead to an intermediate class of flows between adapted flows and geodesible flows, while still retaining Turing universality.
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