Topological Objects: Understanding Their Physical Interest

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stephenhky
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What do you think about the reason why topological objects are physically interesting?
 
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stephenhky said:
What do you think about the reason why topological objects are physically interesting?

Tell us "the reason why topological objects are physically interesting" and we will tell you what we think about it.
 
olgranpappy said:
Tell us "the reason why topological objects are physically interesting" and we will tell you what we think about it.

you're not getting genial with that, k?
 
In my mind, topological objects are physically interesting because the energy to nucleate them or annihilate them are large compared to other non-topological excitations.

Because of some conservation laws, the continuous deformation of the order parameter field does not change the topology of the system. Therefore, it is easy to induce a non-topological excitations. To change the topology of the system, more energy and time are needed.

What do you think?