Relativity and Cosmology

   

Measuring the Complexity of Simpiicity

Authors: T H Ray

Yaneer Bar-Yam1 based his theory of multi-scale variety on the law of requisite variety 2 that underlies information science. Once we have accepted requisite variety as a theorem for complex systems science, we are compelled to ask: How deep is the structure of complexity? In complex systems science, it has to be deep enough to include gravity, because there can be no coherent system, simple or complex, without negative feedback—and gravity, even though we don’t understand it as a unitary theory, is demonstrably such a universal control (negative feedback) mechanism. We will introduce a mathematical framework by which irreducibly complex spacetime—as the only independent cosmological variable—has the potential to create and interact with matter, and mediate feedback. What is the “ ... Many which allows itself to be thought of by us as a One”, in the words of Georg Cantor, 3 such that gravity is contained in the Many that manifests in our rational judgments as a One? The question begs a set-theoretic construction, and thus we present our result in a set-theoretic context.

Comments: 11 Pages.

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[v1] 2019-04-26 09:09:39

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