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/(α/2)2
= 75115,461mc2, or in the system of collider E* ~ mc2/(α/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

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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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