Magnetic trap of Devil. Calculation.


In this column you will find two approaches to find the main characteristics of the magnetic trap. The first approach was invented in the autumn 2008 and was corrected in the beginning of 2009. The second approach was received in March-April 2009. The results of both approaches coincided excellently. That means that the idea of magnetic trap is correct and the possibility of its creation on colliders is very high. That means that our Earth will be destroyed if we will not brake the powerful colliders.


The first approach.

I have done a more detailed analysis of my old calculation and found in it a mistake.
The minimum mass of a magnetic hole may be even less than it should have from the first calculation.
But to define it precisely is not possible, because we do not know the magnetic moment of a particle, which will remain after the capture of the nucleon by magnetic hole.

Below I will talk about "imbedding".
Imbedding of neutrons in each other, should not be taken literally. This is an approximate calculation. Magnetic hole is not composed of neutrons. It captures a neutron, and emits a neutrino. It captures a proton, and emits a positron. In both these cases it can spend its energy on the kinetic energy of these ejected leptons and on radiation of photons.  Magnetic trap consists of bosons, quanta of magnetic field. The magnetic moment of this boson is of course different from the magnetic moment of neutron. Therefore, our numerical result is an approximation.

Neutron has a magnetic field. Consequently we can divide the energy of neutron per two parts: the magnetic field energy and the energy connected with the restlet of neutron, - restlet energy. The restlet energy is connected with its restlet-mass mR. The total restlet-mass of several connected particles depends from their quantity. Compare: the rest-mass of nucleus is also depend from the quantity of its nucleons, and this dependence in not linear.

At some critical number of captured  nucleons, the hole's restlet-mass can be turned to be zero. In this case all its energy is concentrated in its magnetic field. That will be the minimal possible magnetic hole. It can be created at once, in the collision of two particle, but here we create it stage by stage, successively imbedding neutrons into it.  

Let's neglect the rest mass of emitted positrons and neutrinos.
Let's imagine the neutron as a ring contour with an electrical current, creating the magnetic dipole moment, equal to experimental value of a neutron's dipole magnetic moment, p.  

The energy of a ring contour is

E = pB.

It is concentrated in a magnetic field B = μ0I / 2R.

Magnetic dipole moment is

p = IS.

After a simple transformation we can write the energy of magnetic field

E = μ0pRI2/2.

We supposed that the electric current was created by the movement of the elementary charge along the circular orbit of radius R with the speed of light. (The radius R is by p/pn times greater then the Compton radius of neutron. Here pn is the nuclear magneton.)

Let's take a single neutron. Its rest mass consists of two parts, - the mass of magnetic field and of the mass of neutron's restlet:

mn = mmag.field + mR.

The energy of a neutron is also consists of two parts:

mnc2 = μ0pRI2/2 + mRc2.

Let's "imbed" two neutrons, one in one.
Neglect polarization and related changes in the dipole moment.
The energy of dineutron’s magnetic field will increase by 4 times because of a the square over I2. In the right side of the equation, we must add the energy of emitted photon, which is equal to pB=μ0pRI2/2. It's origin: acceleration of one neutron's magnet by another neutron's magnet; growth of kinetic energy and the loss of restlet mass; transition of kinetic energy into the energy of the emitted radiation in the moment of neutrons collision. 

2mnc2 = 22 μ0pRI2/2 + mRc2 + μ0pRI2/2.

Let's "imbed" the third neutron. The energy of the thee-neutron’s magnetic field will increase by 9 times. In the right side of the equation, we must add the energy of emitted photon, which is equal to p*2B. The energy of this photon is two times bigger than the energy of the first photon.

3mnc2 = 32μ0pRI2/2 + mRc2 + μ0pRI2/2 + 2μ0pRI2/2.

 

Let's "imbed" the N-th neutron. The energy of magnetic field of N-neutron will increase by N2 times. In the right side of the equation, we must add the energy of emitted photon, which is equal to p (N-1) B. The resulting restlet mass, mR, becomes equal to zero.

Nmnc2 = N2μ0pRI2/2 + μ0pRI2/2 + 2μ0pRI2/2 + ... + (N-1)μ0pRI2/2.

mnc2 / (μ0pRI2/2) = (N2 + 1 + 2 + 3 + ... + (N-1)) / N.

 

Calculation of the left side gives 524.9.
Consequently, N equals to 350.

Further absorption of neutrons can not lead to an increase in the magnetic field, because the total restlet mass will be negative. Consequently, we had received the value of critical magnetic field. The further capture of neutrons by magnetic hole leads to the growth of the radius of a magnetic hole.

The resulting value of the minimum possible energy of a magnetic hole corresponds to the energy equal to one-third of TeV, which can be achieved even at Tevatron!

The right side in the last formula for large N is equal to 3/2. Therefore, we can write

N = (2/3)mnc2 / pB;
Bmax = NB1.

1/3 of neutron’s energy goes to the growth of the hole.
2/3 goes to radiation.
The last corresponds to the binding energy of the magnetic hole.

The results shows that the minimal possible magnetic hole can be made at collisions with the energy about one-third of TeV per particle.
This energy is three times smaller than can be Tevatron (in the case of proton).

-Why was not it been received yet?
Here are some possible explanation notes.
1. We do not know the magnetic moment of the resulting boson.
2. It is possible that magnetic hole could be born in a collision of two quarks.
3. At the Tevatron they collide the protons with antiprotons and this lead to the annihilation of the baryon number.
4. We do not know the magnetic polarization dependence.
5. It is not excluded that microscopic magnetic traps were already created, and they are growing now somewhere inside the Earth.

If we use the received formula N = (2/3)mc2 / pB for protons, we'll receive the total energy E, needed to create the minimal possible magnetic trap, and E will be equivalent to the rest energy of N protons.  In this case N~510 and E~510mc2, or about 255mc2 per colliding proton. The formula for N can be transformed to N=(4/3) (p/pn) / α, where α is the fine structure constant, 1/α = 137,036.


The second approach.

Creation of the magnetic trap.

Let's find the value pB, where p is dipole magnetic moment of the first proton, and B is the magnetic induction, created inside the first proton by the second proton, flying beside the first proton. Let's solve the problem in the coordinate system, connected with the first proton. Magnetic induction is the variable value in time and in space.

B = μ0qvSin(v,r) / (4pr2).

Let's the second proton fly along the straight line, lying in the plane of the contour S of the first proton. The minimal possible distance rmin between the line and the border of the contour is defined by the equality of kinetic energy to the potential energy of two elementary charges Ekin = q2/(4pε0rmin).

The formula E = pB must by changed by the following one

dE = p (BdS) / S.

Let's create a computer program and the computer will compute and will sum up all dE, giving us in the result the total energy pB of magnetic field and its ratio to the rest energy.

At high energies the kinetic energy is the product of the particles momentum into the velocity of light, Ekin=Pc.

E2 = m2c4 + P2c2;
E2 = m2c4 + Ekin2;
Ekin = (E2 - m2c4)0.5.

The bottom figure corresponds to quite small energy of flying by proton, E ~ 1,3mc2.

The next figure: v=0,968c, E=4mc2.

The next figure: v=0,999999998c, E=160000mc2. In the coordinate system of collider: E*=  126mc2, or slightly more than 0,1 TeV.

 

The table of results for proton collisions.
The energy of flying proton: E = mc2//2)2 = 75115,461mc2, or in the system of collider E* ~ mc2//2) = 2·137mc2,

 A \ B 10 100 1000 10000 100000
1000 77,011 15,354 7,2235 6,8920 6,8895
10000 50,059 7,4219 1,8272 1,2671 1,2545
100000 37,304 5,1894 1,3317 0,9589 Here
1000000 31,027 4,6898 1,2868 0,9353 is very
10000000 29,481 4,6410 1,2830 long computation

Column "A" means the number of computed and summed layers, nearest to the flying particle. The string "B" means the number of "rectangles" in one layer. It is visible that under B=10000 the precision of computation can be taken as quite good.

In the cells we can see the ratio (mc2) / (pB). The conclusion can be made after the analyses of the results in the right bottom corner of the table.
In the case the ratio more than 1, the magnetic trap for such energy is impossible;
in the case the ratio is less than 1, the trap is possible;
in the case the ratio is equal to 1, the investigated energy is equal to minimal energy needed to create the magnetic trap.

We can see that magnetic trap is possible for the upper case. In order to find the minimal energy, let's try the value Etotal = mc2(4/3)(p/pn)/α ~ 510mc2, which was received in the first approach for the total minimal energy, needed to create the magnetic trap. Dividing this energy by 2, we'll receive the energy of colliding proton in the collider, E ~ 255,2mc2. In the system of resting proton the flying proton must have the energy 65107mc2.

 A \ B 10 100 1000 10000 100000
1000 77,013 15,359 7,2355 6,9043 6,9017
10000 50,068 7,4397 1,8689 1,3292 1,3177
100000 37,351 5,2482 1,3912 1,0269 1,0191
1000000 31,237 4,7849 1,3486 1,0034 Result is
10000000 29,850 4,7418 clear! Here is  1.

Conclusion. The global catastrophe can be switched by magnetic trap, which can be made at proton collisions with 0.25TeV energy per proton.


Reproduction of biospheres and civilizations. Who are you, dear reader:
"a cell of good reason", "a curiosity cell", or "thoughtless muscular cell"?

You are here: Magnetic trap of Devil. Recent calculations show that it is not excluded that microscopic magnetic traps
were already created, and they are growing now somewhere inside the Earth.

Arguments, proving that "The LHC will lead to global catastrophe"; "Magnetic holes exist";
"We will not be able to prevent the LHC launch and the following global catastrophe". Religious and mystic arguments.

The failed report "What will LHC give us, the particle of God, or magnetic trap of Devil?"

The Letter to the President of Russia.

The Letters to the Prosecutors Office of the Russian Federation.

Let's make the Living Wall in front of LHC.

Magnetic Hole. Pictures.


To index of Space Genetics

My Curriculum Vitae

mailto: Ivan Gorelik


TopList



What is Big Bang and who is bigbangers?


From discussion at forum.

Four-dimensional Rotation of the Universe.

Four-dimensional Rotation you can see here in the gif animated
picture.

If our Universe is closed, then it can rotate. The last observations give several proves of this idea.
 

Somebody: Excellent 4-D information!
I've been re-working my "hypersphere" (4-D) theory of the Red Shift, but things not going so well. Problem is that Hubble distance data actually fits distance to stars even without "expanding" 4-D universe (so-called "no center") but my theory does not seem to fit so well. I'm not even sure why Hubble distance is a log function of red shift.


Thank you.
My H is the angular velocity of light in the hypersphere-universe. It is H=73,3 km/s/Mpc or 2.37565(35)E-18 rot/s or 2.37565(35)E-18 rot/s.

This value gives us the CONVENTIONAL age of Universe: 13.3387(23) bln.years/rot.

Compare this value with CONVENTIONAL age of Earth: 365 days/rot.
The ACTUAL age of Universe is infinity.

If there is rotation then there is f=ma=mc2/R.
Every proton has quantum of action h - universal microrotation; and quantum of force f, (h·ν0 = f·λ0) leading to universal macrorotation.
Under the influence of this quantum of force every proton rotates in the Universe, making the one full rotation per one Universal year, which is equal to 13.34 bln.years.

The value ν0 is the boundary frequency. ν0 = NH= 734.147!/s, (λ0= 408 km/!, t0=0.00136s/!)
This is the center of acoustic fluctuations.
This is the boundary between graviton and photon in 4-d quantum lattice of Universe with the main quantum number N=3.09030·1020.
The sign ! is a "flash", the lattice parameter of macroscopic synchronization.

Our Universe is eternal and must have the eternal sources of energy.
The solution of Bell paradox gives the stellar sources of energy.
Macroscopic synchronization of matter in the gravity field leads to energy output.
This source gives 2/3 of the solar energy output.

My formula of the stellar energy output (P~M4/R5) coincides with observations and reminds the Hawking formula for BH evaporation (P~M4/R6). Hawking formula leads to crisis under subplankian values. The cause is clear.
Hawking did not used the main quantum number.

If we substitute the N in his formula we will go out from the crisis under subplankian values, and we will receive the formula of stellar energy sources in the ETERNAL Universe.

The second conclusion: if the corrected Hawking formula denies the black holes, what star's explosions do we observe in the sky?

The answer is clear, - that is MAGNETIC holes.

Nucleon has the rest energy mc2.
It also has the magnetic energy, which is about 0.001 of it's rest energy.

If the nucleon will enter in the 1000 times stronger magnetic field it's magnetic energy will overpass its rest energy and the nucleon can decay.

Some theorists dream about the "monopole catalyses of proton's decay" at the collider.
I say, that we will have no "monopole catalyses of proton's decay" but bose-condensation of proton and neutron into magnetic trap of Devil. The condensation is accompanied by emission of positrons and antineutrino from decaying protons and neutrons. Resulting bosons will widen the surface of magnetic trap.
Magnetic trap has the constant critical field ~ 1016Tl.
The Earth can be transformed into magnetic trap with the radius about 10 meters.

Microscopic magnetic traps can be made on collider.

CERN scientists do not pay attention on my letters because they are slaves of BB religion and want to test their religious theory at the collider.
BB - is a marasmatic theory.
BigBangers will make "Big Bang" from our Earth. But the Universe is eternal.

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