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this post was submitted on 09 Jan 2024
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Without looking this up first, I think topology is a mathematics..mathematica..a field of mathematics that makes proofs of topologies in nature. Like what is the mathematical proof of how a knot can be removed from something without untying it. Hang on let me look this up...
Okay here: Topology is the study of shapes and spaces, focusing on properties that are unchanged by continuous transformations like stretching or bending, without tearing or gluing. It's used to understand and classify various mathematical, physical, and computational phenomena.
So topology shows how a coffee cup is a misshapen donut, or a human is donut (with center hole from mouth to...butthole) and now, how quantum entangled particles can be perturbed (messed with) and still maintain coherence (not break and still be an entangled pair).
Here's the coffee cup donut:
So it sounds like they are using topology to classify entangled quantum 'shapes?' which will allow them to better understand and manipulate quantum entangled states? And so far the math is holding up?
I love this stuff. Like how the math showed that black holes should exist before we found any. It's like frickin magic man. Like wizards reading the magic symbols to unlock the secret fabric of reality, but like, for real.
I find topology fascinating. I'd love to learn more about it but it quickly goes above my pay grade.