A conservative Turing complete $S^4$ flow
Pablo Su\'arez-Serrato
TL;DR
This paper introduces a novel, volume-preserving, smooth flow on the 4-sphere that is proven to be Turing complete, expanding understanding of dynamical systems on higher-dimensional manifolds.
Contribution
It constructs the first known Turing complete flow on the 4-sphere that is volume-preserving and smooth, demonstrating computational universality in this setting.
Findings
Flow is Turing complete on the 4-sphere
Flow preserves volume and smoothness
Advances understanding of dynamical systems in higher dimensions
Abstract
We present a Turing complete, volume preserving, smooth flow on the -sphere.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometry and complex manifolds · Geometric and Algebraic Topology