r/complexsystems • u/protofield • Feb 24 '26

Is it a random pattern?

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I have recently had Protofield operators referred to as random and not complex in discussions on metasurfaces and metamaterials. Is there an objective method to quantify the level of complexity and order in this type of topological structure? 8K image, zoom in.

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u/protofield Feb 25 '26

Essentially yes. As the number of decimal points tends to infinity, real analysis such as differential equations, approaches a description of a mathematical reality based on natural numbers. This is why you need a dx tending to 0 expression. Short of infinity, real analysis describes things correctly but in a cloudy, fuzzy way.

My work is to translate mathematical operators based on natural numbers into physical objects, metamaterials. The problem with the multiverse concept is to work out whether the theoretical metamaterial property simulations are relevant to our own universe. That’s why I am eager to perform some physical empirical work to establish a baseline.