All this proves
is that I really do not understand quantum mechanics.
Beer simply won't do it - I need Whisky.
A Majorana particle is a theoretical particle that is its own anti-particle. A Topological Q-bit is where the topological properties of the 'particle' do the 'quantum mechanical' parts, or something ...
To be really confused try:
https://quantum.microsoft.com/en-us/insights/education/concepts/topological-qubits#:~:text=Topological%20qubits%20are%20theorized%20to,of%20individual%20particles%20or%20atoms.
Oh, and yes, I did do a course on topology at Uni, even did a project where I showed that the chord theorem only applies to path-connected sets of points and constructed a set that was connected but not path-connected to show it did not satisfy the chord theorem. But with all this quantum mechnicalness topologilisationing I am perplexed.
The chord theorem states that in a path-connected set, if there are two points A and B in the set a distance a apart, then there are also two points, X and Y in the set such that the chord from X to Y is parallel to the chord AB and the length of the chord XY is a /n or a(1 - 1/n) for any natural number n. (I think, cannot find it now.). SO, there will always be points X and Y such that the chord XY is parallel to AB and XY is a /2 .