*(Fig.1) Quantum mechanics uses unreal quasiparticles, effective mass.*

The present quantum physics is based on old useless concept 100 years ago, which **cannot** predict anything.

This is the reason why physicists fabricated **fictional** targets such as quantum computer and Higgs "symmetry".

In condensed matter physics, useless quantum mechanics completely relies on fictitious quasiparticle and effective mass.

So quantum mechanics clearly **prevents** us from advancing our science !

*(Fig.2) Dirac quasiparticle with zero mass doesn't exist ! *

Recently, **massless** Dirac fermion is a hot topic in solid physics. But this massless Dirac fermion is just a **unreal** quasiparticle, which **doesn't** really exist.

Despite the unreality in massless Dirac quasiparticle, top journal Nature and prestigious Nobel prize ( this p.4 ) applaud it !

This situation is clearly very **harmful** to students's future and our science. In fact, this massless Dirac fermion is illusion caused by **wrong** assumption.

*(Fig.3) Quasiparticle contradicts basic physical principle.*

Famous Dirac fermion with **zero** mass is unreal quasiparticle.

When illuminating some material ( ex. topological insulator or graphite ), an electron is ejected by photoelectric effect.

After measuring the energy, momentum of the ejected electron, they jumped to the wrong conclusion that **massless** Dirac quasiparticle existed inside material.

So they **cannot** observe this fictitious Dirac quasiparticle, they just detect only the ejected *electron*.

How **fast** is this massless (= **zero** mass ) Dirac fermion moving ?

Einstein relativity claims massless particle always moves at light speed c.

But they say this massless Dirac quasiparticle moves **slower** than the light speed, 0.3 percent of c, like massless (← ? ) Weyl fermion.

This Dirac quasiparticle **contradicts** Einstein relativity, so unreal.

Furthermore, it depends on pseudo-spin.

*(Fig.4) Incident photon is absorbed and ejects an electron. *

How do physicist detect unreal massless Dirac fermion ?

They use Angle-Resolved photoemission Spectroscopy (= ARPES ).

In this ARPES, they illuminate materials with light (= photon ? ) and eject an electron inside solid by photoelectric effect.

So they just measure the "ejected **electron**" to conclude massless Dirac quasiparticle !

*(Fig.5) They misunderstand the electron's momentum in ARPES. → unreal quasiparticle with fake effective mass*

Angle-resolved Photoemission Spectroscopy (= ARPES ) tries to (**wrongly**) guess the electron's energy and momentum inside material by measuring the kinetic energy and momentum of (**real**) electrons with real mass kicked out of material after the electrons **absorb** incident light using photoelectric effect.

The interpretation of this ARPES is based on wrong hypothesis
that the (unseen) electron's momentum (= p = ℏk_{||} ) parallel to the material's surface may **keep the same** value, even after the electron **absorbs** the incident light and is kicked out of material ( this p.6-7, this p.12, this p.27, this p.4-(4), this p.9 ).

↑ This wrong assumption of ARPES is one of reason why the current useless mainstream quantum mechanics **falsely** claims that electrons inside materials are fictitious quasiparticles (= such as Dirac fermion quasiparticle, this p.3 ) with fake **effective** masses m* ( this 2~3rd-paragraphs, this p.4-lower, this p.2-right, this p.2-right ), even after ARPES measures the real electrons with real mass.

*(Fig.6) ARPES assumption = unchanged electron's momentum is false. *

To estimate the existence of massless Dirac fermion, they have to know the exact relationship between the kinetic energy and momentum of the electron **inside** solids.

But all they can do is measure those values only after the electron is ejected by light. So it's very **hard** to know the electron's state **before** absorbing light.

Here, physicists depend on false assumption that the electron's momentum doesn't change before and after the electron **absorbs** light !

*(Fig.7) Quantum mechanics forces us to fabricate unreal quasiparticle ! *

The wrong assumption that electron's momentum is unchanged even after absorbing light is a main reason for **fictional** massless Dirac quasiparticle !

So physicists all over the world **waste** their time in seeking illusory particles.

*(Fig.8) ARPES wrong assumption about momentum causes "massless". *

Kinetic energy of a particle with **mass** is proportional to the **square** of momentum.

On the other hand, the energy of **massless** light (= photon ) is known to be **linearly** proportional to momentum ( this p.7 )

By measuring momentum of ejected electron, physicists estimate the relationship of energy **linearly** proportional to momentum in massless Dirac fermion inside solids.

*(Fig.9) Massless Dirac fermion slower than light contradicts relativity ! *

**Massless** particle such as photon must travel at the light speed c in any condition according to Einstein relativity.

Bur surprisingly, this massless Dirac fermion moves 300 times more **slowly** than the light ( this Fig.3e ) !

So this massless Dirac particle **conradicts** Einstein relativity.

This is the reason why it is called unreal quasiparticle.

*(Fig.10) Ejected electron energy = light + initial energy. *

Energy of an electron inside the solid is E_{i}. After the electron absorbs an incident light with energy (= hν ), their total energy must be **conserved**.

Final kinetic energy (= E_{f} ) of the ejected electron is the **sum** of initial energy and light energy ( this p.27 )

*(Fig.11) Electron momentum p = ħk. *

Here, electron's momentum inside (= **before** absorbing light, p_{i ||} ) and outside (= after absorbing light, p_{f ||} )

*(Fig.12) Then why can an electron increase its kinetic energy ? *

Both energy (= E ) and momentum (= p ) must be conserved after an electron absorbs light ( this p.4 ).

Electron's kinetic energy increases by light energy (= hν ).
But they **wrongly** estimate that the electron's *momentum* is **unchanged** even after absorbing light !

Because they think the light has large energy compared to its momentum, so light's momentum can be **neglected** ( this p.21, this p.2 ).

If photon's momentum is zero and neglected, the ejected electron increases **only** its kinetic energy **without** gaining its momentum ?

Unfortunately, it's **impossible** to increase **only** electron's kinetic energy **without** increasing its momentum, because they are proportional to each other.

*(Fig.13) Same energy (= E ) → momentum is smaller in photon than electron ! *

Photon (= light ) and an electron clearly have **different** masses. The **ratios** of energy (= E ) to momentum (= p ) are different in particles with different masses.

When an electron and a photon have the same energy (= E ), the momentums of electron and photon are E/(v/2) and E/c, respectively.

Electron's velocity (= v ) is much **lower** than the light speed c, so, electron's momentum becomes much bigger than that of photon, when their total energies are the same.

*(Fig.14) So their total momentum is NOT conserved ! *

If the ratios of energy to momentum in photon and electron are different, it's **impossible** that an electron absorbs ( or emit ) a photon.

Because both energy and momentum **cannot** be conserved before and after an electron absorbs light !

It means when an electron absorbs the photon with energy E, their total momentum is **NOT** conserved !

So we must give up this "photon" model, and adopt more realistic model in an electron absorbing light.

*(Fig.15) Both an electron and nucleus (= proton ) conserve momentum ! *

Massless Dirac fermion in ARPES depends on wrong assumption, because both momentum and energy **cannot** be conserved.

If a photon (= light ) is absorbed into the "**whole** atom" consisting of an electron and a nucleus, this problem **doesn't** happen.

An eletron and a proton inside atoms are moving in the *opposite* directions, so have the **opposite** momentums, and their total momentum is cancelled out to be **zero**.

Even after the atom absorbs light, their total momentum remains almost **zero**. Almost all light energy is transferred only to electron, because a proton is much heavier.

Of course, ejected electron increases not only its kinetic energy but also its **momentum** ( which is canceled by the opposite proton's momentum ).

So electron's momentum also **changes** drastically after absorbing light, and we cannot use this assumption !

*(Fig.16) Top journal should stop forcing physicistis to seek illusory particle ! *

As a result, you can easily find that massless Dirac fermion is **illusion** caused by mistaking true electron's momentum for **wrong** one.

So all physicists just **waste** their precious time in illusory particles, encouraged by fraudulent top journals.

Unreal quasiparticle means they are **useless** forever. This is the reason why they fabricated imaginary target = quantum computer.

2016/5/13 updated. Feel free to link to this site.