Topological Objects: Understanding Their Physical Interest

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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?
 
Hi. I have got question as in title. How can idea of instantaneous dipole moment for atoms like, for example hydrogen be consistent with idea of orbitals? At my level of knowledge London dispersion forces are derived taking into account Bohr model of atom. But we know today that this model is not correct. If it would be correct I understand that at each time electron is at some point at radius at some angle and there is dipole moment at this time from nucleus to electron at orbit. But how...

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