Fermions can also produce super-radiation phenomena

According to traditional theory, the Fermions does not produce super radiation. If the boundary conditions are set in advance, the possibility is combined with the wave function of the coupling of the Fermions and Fermions can also produce super-radiation phenomena.This article proposes a new possibility that Fermions can produce superradiation phenomena. It implies that super radiation and boundary conditions have a broader research space.

frictional effects or any other form of apparent coupling with a smooth empty environment, the ball will continue to rotate infinitely under quantum mechanics. The area around the vacuum is not completely smooth, and the field of the sphere couples with quantum fluctuations and accelerates them to produce real radiation. The imaginary virtual wavefront has a proper path around the human body, and will be stimulated and amplified into a real physical wavefront through the coupling process. The description sometimes refers to the effects of these fluctuations "ticking".
In the theoretical study of black holes, this effect is sometimes described as the result of the gravitational and tidal forces surrounding the strong gravitational body pulling the virtual particle pairs apart. Otherwise, these virtual particle pairs will quickly annihilate each other, thus in the area outside the black hole. Produce a large number of real particles horizon.
A black hole bomb is an exponentially increasing instability in the interaction between a huge boson field and a rotating black hole.
In astrophysics, a potential example of superradiation is Zel'dovich radiation. The first to describe this effect in 1971 was Yakov Zel'dovich, and Igor Novikov of Moscow University further developed this theory. Yakov Borisovich Zel'dovich chose a case in Quantum Electrodynamics ("QED"), in which the region around the equator of a rotating metal ball is expected to throw away electromagnetic radiation tangentially, and proposed a rotation of gravitational mass Situations such as the Kerr black hole should produce a similar coupling effect and should radiate in a similar way. This is followed by the argument of Stephen Hawking et al. that accelerating observers near the black hole (for example, the observer carefully lowering to the horizon at the end of the rope) should see that the area is occupied by "real" radiation, while far away At the same time, the observer can say that this radiation is "virtual." If an accelerating observer near the event horizon captures nearby particles and throws them to a distant observer for capture and research, then for a distant observer, the appearance of the particle can be explained by the following way: the physical acceleration of the particle It has been turned from virtual particles to "real" particles. And we know that black holes need to meet one condition for classical superradiation instability: The incident perturbation field is the Bose field; Among it is the condition for generating super radiation. In 1972, Press and Teukolsky [14] proposed that It is possible to add a mirror to the outside of a black hole to make a black hole bomb (according to the current explanation, this is a scattering process involving classical mechanics and quantum mechanics[1, 3, 10-13, 15]).Regge and Wheeler proved that the spherically symmetric Schwarzschild black hole is stable under disturbance. Due to the significant influence of super radiation, the stability of rotating black holes is more complicated. Superradiation effects can occur in classical and quantum scattering processes. When a boson wave hits a rotating black hole, if certain conditions are met, the black hole may be as stable as a Schwarzschild black hole. When a boson wave hits a rotating black hole, if the frequency range of the wave is under superradiation conditions, the wave reflected by the event horizon will be amplified.

Associate Professor Hasegawa Yuji of the Vienna University of Technology and Professor Masaaki Ozawa of Nagoya
University and other scholars published empirical results against Heisenberg's uncertainty principle on January 15, 2012 [9]. They used two instruments to measure the rotation angle of the neutron and calculated it. The error of the measurement results obtained was smaller than the Heisenberg uncertainty principle, thus proving the measurement results advocated by the Heisenberg uncertainty principle. The restriction is wrong. However, the uncertainty principle is still correct, because this is the inherent quantum property of particles.
In the article [7] follows the method I used to study superradiation and connects the uncertainty principle with the superradiation effect. I found that under the superradiation effect, the measurement limit of the uncertainty principle can be smaller.From that article, we can know that if the boundary conditions are not preset, then for the incident interference of the black hole and the coupling wave function of the black hole, the probability flow density equation is equal on both sides. However, if the boundary conditions of the incident Fermions are set in advance, then the two sides of the probability flow density equation are not equal, because setting the boundary conditions implies a certain probability. According to the traditional theory, the fermions does not produce superradiation. And if the boundary conditions are preset, the probability of generation is combined with the wave function of the fermions coupling, and fermions can produce superradiation phenomenon.

II. FERMIONIC SCATTERING
Now[2] let us consider the Dirac equation for a spin-1 2 massless fermion Ψ, minimally coupled to the same EM potential A µ as in Eq..
where γ µ are the four Dirac matrices satisfying the anticommutation relation {γ µ , γ ν } = 2g µν . The solution to takes the form Ψ = e −iωt χ(x), where χ is a two-spinor given by Using the representation the functions f 1 and f 2 satisfy the system of equations: One set of solutions can be once more formed by the 'in' modes, representing a flux of particles coming from x → −∞ being partially reflected (with reflection amplitude |R| 2 ) and partially transmitted at the barrier On the other hand, the conserved current associated with the Dirac equation is given by j µ = −eΨ † γ 0 γ µ Ψ and, by equating the latter at x → −∞ and x → +∞, we find some general relations between the reflection and the transmission coefficients, in particular, Therefore, |R| 2 ≤ |I| 2 for any frequency, showing that there is no superradiance for fermions. The same kind of relation can be found for massive fields.
The reflection coefficient and transmission coefficient depend on the specific shape of the potential A 0 . However one can easily show that the Wronskian between two independent solutions,f 1 andf 2 , of is conserved. From the equation on the other hand, if f is a solution then its complex conjugate f * is another linearly independent solution. We find|R| 2 = |I| 2 − ω−eV ω |T | 2 .Thus,for 0 < ω < eV ,it is possible to have superradiant amplification of the reflected current, i.e, |R| > |I|. There are other potentials that can be completely resolved, which can also show superradiation explicitly.
The difference between fermions and bosons comes from the intrinsic properties of these two kinds of particles. We can pre-set the boundary conditions eA 0 (x) = −yω(which can be µ = −yω) [4][5][6] [8], and we see that when y is relatively large(according to the properties of the Fermions, y can be very large), |R| 2 ≤ |I| 2 may not hold.In