(Fig.1) Because they hide that topology is useless scientifically
Nobel prize physics in 2016 was awarded to exotic topological matter. But you probably couldn't understand the scientific meaning of the topology, even after reading all the media.
If you understand what the "topology" means after reading some of the media, you probably have some "supernatural ability".
Because all the media and commentators are hiding the fact that topology and exotic matter are useless with NO scientific meaning, though it got Nobel prize.
This is the reason all the media and physicists avoid detailed explanation about topology.
(Fig.2) But electron "spinning" speed is much faster than light, so unreal !
The present quantum mechanics claims when electron spins are aligned in parallel, it causes ferromagnetism in iron.
But an electron is so tiny and point-like that its spinning speed must be much faster than light ( > c ) to cause its magnetic field. So this "spin" model is unrealistic.
(Fig.3) Just "three abstract letters" (= JSS ) mean actual ferromagnet ?
How does the present quantum mechanics describe the actual ferromagnetism in iron magnet ? In fact, quantum mechanics has NO ability to explain actual phenomena.
They just put three simple letters side by side to express ferromagnet.
This spin model is too abstract to deal with actual complicated phenomena !
Here, "S" denotes "electron spin" at each atomic position, and "J" means the strength of their spin-spin interaction. That's all.
This spin interaction parameter J is freely chosen and adjustable ( NOT gotten from the original spin postulate ! ), so useless and can predict nothing.
(Fig.4) Spin magnet is too weak to explain ferromagnet.
You may think Spintronics and excitonics are useful (← ? ) for your career.
But almost nobody knows electron spin lacks reality !
Its spinning far exceeds
light speed.
You may hear spin is tiny magnet with the magnitude of Bohr magneton.
This spin magnet can explain stable ferromagnetism ? Unfortunately NOT.
Spin-spin magnetic interaction is too weak to explain actual ferromagnet.
See this p.6 this p.7. So spin model failed from the beginning.
Then, what the heck does this spin model mean ?
It uses "Heisenberg" spin model ( this p.3 ).
But this Heisenberg spin model is too old, which was introduced in 1920s, and it's too abstract to describe actual phenomena ( this p.2 ).
This spin model just puts nonphysical symbols side by side. So useless.
Parameter J is arbitrarily chosen. J > 0 = antiferromagnet, J < 0 = ferromagnet.
(Fig.5) ↓ Old Heisenberg XY spin model got Nobrl prize 2016 ?
Schrodinger equation invented 100 years ago cannot handle multi-electron atoms. So physicists try to describe them using fake model in solids and semiconductor.
Nobel prize physics in 2016 is based on old Heisenberg spin model ( this p.6 and this p.2 ) where they just put two spins (= S ) side by side in very simple symbols.
Magnetic interaction between two spins is too weak to explain actual physical phenomena such as ferromagnet and Pauli exclusion principle.
Unreal spin model already failed. They just artificially determine spin-spin interaction parameter J to fit experimental results.
So quantum mechanics and this "too abstract" spin model have NO ability to predict any useful physical values, so useless in applied science field, forever.
(Fig.6) θij is the angle between two spin vectors (= Si Sj )
In this old Hersenberg spin model, physicists just put two neighboring spins side by side. θij is the angle between two spin vectors (= Si Sj )
J means "spin-spin interaction parameter" which size can be freely adjusted, so has NO scientific value.
When this J is positive ( J > 0 ), the total energy becomes the lowest and stable with two spins parallel to each other ( θij = 0 degree ).
As the angle between two spins is bigger, the total energy is higher, which means more unstable, and more energy is needed to create it.
(Fig.7) Kosterlitz and Thouless got Nobel prize in 2016 by this theory ↓
When spin interaction J is positive, two adjacent spins tend to be parallel to each other to lower the total energy.
When the temperature becomes higher than some point with higher energy, each angle between spins can be bigger enough to arrange spins to form "vortex pattern" like Fig.7 right.
This change to form spin vortex is called "Kosterlitz-Thouless transition", which got Nobel prize physics this year.
(Fig.8) Model using "freely-chosen parameter" is useless, despite Nobel prize
If we artificialy determine the spin interaction parameter J, it means we can also adjust the transition temperature freely ( this p.9 ).
So this old spin model based on "freely-chosen parameter J" has NO scientific meaning, because it cannot predict any physical value using only this model.
And this spin model is too simple to consider any other complicated effect ( ex. particle momentum, density difference, vortex interaction, Coulomb interaction ).
So this "too abstract" model remains useless in applied field despite getting Nobel prize.
(Fig.9) One spin vortex pattern = topology one ?
It is said that this year's Nobel prize physics was awarded to "topology". Then, what the heck is this "topology" ?
In fact, this "topology" has NO physical meaning and NO scientific value.
Like impractical quantum computer and symmetry, the present useless physics needs some "imaginary target" to give motive to physicists. One of imaginary targets is topology.
If we define each spin direction (= θspin ) in each position ( designated by the polar coordinate θ ), when the integer v is 1, one spin vortex is formed.
Physicsits just call this integer v "topology". As long as the total ( spin ) energy is conserved, spin vortex pattern is conserved (= topological value is protected ? ).
The point is the definition of this spin equation and topology are " artificially-introduced concepts ", NOT meaning our nature law at all.
(Fig.10) ↓ This is also another example of topological value ( v = 1 ) ?
Spin pattern in Fig.10 is also an example of topological value v = 1. The point is this topology is an "artificially-defined concept", as you see.
So this artificial topology itself has NO scientific value.
When the topology is negative, spin vortex direction is the opposite. The sum of all topological values is related to the total energy, which is conserved and protected, they insist.
But the actual physical phenonema in material are much more complicated than the old simple spin model which already failed.
(Fig.11) Haldane state is also based on too simple, artificial spin model.
Another Nobel prize laureate, Haldane state is also based on too simple, old spin model ( this p.6 ) where parametes J, D can be artificially adjusted.
So this spin model is impractical, cannot predict any useful values. As long as we stop seeking "more concrete" model, our science stops progressing, and useless forever.
2016/10/7 updated. Feel free to link to this site.