What is the real life application of group theory other than coding and cryptography if any and how can one apply group theory to them.
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$\begingroup$ One often used place is to model symmetric relationships. This is often used together with group actions, for example. $\endgroup$– gt6989bCommented Apr 8, 2021 at 12:18
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1$\begingroup$ Related. $\endgroup$– user239203Commented Apr 8, 2021 at 12:24
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1$\begingroup$ My question is: is there a real-life application of live homo sapiens outside of coding? $\endgroup$– user239203Commented Apr 8, 2021 at 12:28
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1$\begingroup$ Quantum physics uses groups. Eg, QCD uses SU(3), see physics.stackexchange.com/q/108641/123208 $\endgroup$– PM 2RingCommented Apr 8, 2021 at 12:59
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1$\begingroup$ Three-dimensional space groups are important in crystallography. en.wikipedia.org/wiki/Space_group $\endgroup$– awkwardCommented Apr 8, 2021 at 13:34
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1 Answer
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Braid groups are a class of (infinite) groups whose nice geometric description lends themselves to some interesting applications, such as:
- Designing stirring rods [1, 2], which has applications in medicine (automatically stirring constituent (viscose) parts of a medicine).
- Pulling taffy [3]. In particular, analysing taffy pullers and making better ones. (The paper does not explicitly mention braid groups, but it is what is going on in the background.)
