Rice University physicists have gone to extremes to prove that Isaac Newton’s classical laws of motion can apply in the atomic world: They’ve built an accurate model of part of the solar system inside a single atom of potassium.
In a new paper published this week in Physical Review Letters, Rice’s team and collaborators at the Oak Ridge National Laboratory and the Vienna University of Technology showed they could cause an electron in an atom to orbit the nucleus in precisely the same way that Jupiter’s Trojan asteroids orbit the sun.
The findings uphold a prediction made in 1920 by famed Danish physicist Niels Bohr about the relationship between the then-new science of quantum mechanics and Newton’s tried-and-true laws of motion.
“Bohr predicted that quantum mechanical descriptions of the physical world would, for systems of sufficient size, match the classical descriptions provided by Newtonian mechanics,” said lead researcher Barry Dunning, Rice’s Sam and Helen Worden Professor of Physics and chair of the Department of Physics and Astronomy. “Bohr also described the conditions under which this correspondence could be observed. In particular, he said it should be seen in atoms with very high principal quantum numbers, which are exactly what we study in our laboratory.”
Bohr was a pioneer of quantum physics. His 1913 atomic model, which is still widely invoked today, postulated a small nucleus surrounded by electrons moving in well-defined orbits and shells. The word “quantum” in quantum mechanics derives from the fact that these orbits can have only certain well-defined energies. Jumps between these orbits lead to absorption or emission of specific amounts of energy termed quanta. As an electron gains energy, its quantum number increases, and it jumps to higher orbits that circle ever farther from the nucleus.
In the new experiments, Rice graduate students Brendan Wyker and Shuzhen Ye began by using an ultraviolet laser to create a Rydberg atom. Rydberg atoms contain a highly excited electron with a very large quantum number. In the Rice experiments, potassium atoms with quantum numbers between 300 and 600 were studied.
“In such excited states, the potassium atoms become hundreds of thousands of times larger than normal and approach the size of a period at the end of a sentence,” Dunning said. “Thus, they are good candidates to test Bohr’s prediction.”
He said comparing the classical and quantum descriptions of the electron orbits is complicated, in part because electrons exist as both particles and waves. To “locate” an electron, physicists calculate the likelihood of finding the electron at different locations at a given time. These predictions are combined to create a “wave function” that describes all the places where the electron might be found. Normally, an electron’s wave function looks like a diffuse cloud that surrounds the atomic nucleus, because the electron might be found on any side of the nucleus at a given time.
Dunning and co-workers previously used a tailored sequence of electric field pulses to collapse the wave function of an electron in a Rydberg atom; this limited where it might be found to a localized, comma-shaped area called a “wave packet.” This localized wave packet orbited the nucleus of the atom much like a planet orbits the sun. But the effect lasted only for a brief period.
“We wanted to see if we could develop a way to use radio frequency waves to capture this localized electron and make it orbit the nucleus indefinitely without spreading out,” Ye said.
They succeeded by applying a radio frequency field that rotated around the nucleus itself. This field ensnared the localized electron and forced it to rotate in lockstep around the nucleus.
A further electric field pulse was used to measure the final result by taking a snapshot of the wave packet and destroying the delicate Rydberg atom in the process. After the experiment had been run tens of thousands of times, all the snapshots were combined to show that Bohr’s prediction was correct: The classical and quantum descriptions of the orbiting electron wave packets matched. In fact, the classical description of the wave packet trapped by the rotating field parallels the classical physics that explains the behavior of Jupiter’s Trojan asteroids.
Jupiter’s 4,000-plus Trojan asteroids — so called because each is named for a hero of the Trojan wars — have the same orbit as Jupiter and are contained in comma-shaped clouds that look remarkably similar to the localized wave packets created in the Rice experiments. And just as the wave packet in the atom is trapped by the combined electric field from the nucleus and the rotating wave, the Trojans are trapped by the combined gravitational field of the sun and orbiting Jupiter.
The researchers are now working on their next experiment: They’re attempting to localize two electrons and have them orbit the nucleus like two planets in different orbits.
“The level of control that we’re able to achieve in these atoms would have been unthinkable just a few years ago and has potential applications in, for example, quantum computing and in controlling chemical reactions using ultrafast lasers,” Dunning said.
The research was funded by the National Science Foundation, the Robert A. Welch Foundation, the Austrian Science Fund and the Department of Energy. Paper co-authors include S. Yoshida of the Vienna University of Technology; C.O. Reinhold of Oak Ridge National Laboratory and the University of Tennessee; and J. Burgdörfer of Vienna University of Technology and the University of Tennessee.
The most interesting thing
about Trojan wave packets while looking at them from the point of view of Biochemistry is
that the seem to be “alive”. Although the concept of life as simple a single electron appears to be very controversial
and the normal alive matter is
extremely complex quantum
dynamically the life appears
to be quantum coherent effect
even if it exists in temperature much above
things like normal superconductivity and the border between alive and not-alive seems to
disappear at the lowest
complexity quantum level.
The mechanism however
seems to be the same,
simply toss it of it the centrifuge
when the initial animation
is imposed on elements
by the Coriolis forces.
Trojan wave packet is the clue.
Besides their internal life-like
motion their Kirlian “photography” in the vacuum which is spontaneous emission
is strongly suppressed and altered and they “multiply” by dipole-dipole interaction when two Hydrogen atoms
are close to each other.
They also grow under
the light with special
properties which is
characteristic for plants
which build up in the
process of photosynthesis
and can survive adiabatic changes like the field strength
or frequency which is their
live environment.
Whether the infinitesimal
Henon-Heiles rotational corrections to chemical Hamiltonians leading with the nonlinearity to classical chaos are necessary to toss
life of http://www.althofer.de/random-lego-structures.pdf or not will be found out
when life or even civilizations
are found only on rotating
planets.
Apparently this are the levels
which are neglected in their
original Mathieu theory which are responsible
for live. Trojan wave packet
when closely monitored
numerically is very slightly shape unstable
which makes it looking alive and the shape instability appears to be due to the infinitesimal interactions
with the infinite number
of spaghetti levels formed
by the Stark perturbation
of the ultra-strong paramagnetic effect.
It is the interactions with
them which cause it jello-shaking and breathing.
They are life or not not
Trojan wave packets are alive !!!
hat appears to be most interesting about Trojan wavepackets that they seem to be alive. One could even consider them as the simplest one electron life forms maybe even formed in the early universe full of
light and the
hydrogen. True or not they formally fulfill the definition of live: they are stable under slowly varying environment
like changing the field strength and the frequency to keep the green house conditions and the ÒmultiplyÓ when close to each other when the dipole
moment of one will cause the hydrogen in neighbouring
circular states to form the Trojan by the dipole induction. They grow under the light from totally spread to well focused and localized so the are like the plants.
While propagating they exhibit internal jello-like
shaky alive motion due to the influence of
infinity of states crossing the Trojan lines with
weaker and weaker avoided crossings. It appears that the life cannot originated on the planet without
its rotation so the chemical Hamiltonians have
the infinitesimal rotational corrections to cause
the irregular spaghetti looking energy lines in
the parameter spaces and
stimulate life leading chemical attempts and this
where the Trojan wave packets live in strongly rotating frame.
The Coriolis centrifuge appears to be nessesary
to induce and start life even if it is infinitesimal.
Besides the simply look like alive Paramecium caudatum and their Kirlian spectrum which in the
vacuum is spontaneous emission is strongly altered and suppressed. They are life or not Trojan wave packets are alive !!!
What appears to be most interesting about Trojan
wavepackets that they seem to be alive. One could
even consider them as the simplest one electron life forms maybe
even formed in the early universe full of light and the
hydrogen. True or not they formally fulfill the definition
of live: they are stable under slowly varying environment
like changing the field strength and the frequency and
the “multiply” when close to each other when the dipole
moment of one will cause the hydrogen in neighbouring
circular states to form the Trojan by the dipole induction. They grow under the light from totally spread
to well focused and localized so the are like the plants.
While propagating they exhibit internal jello-like
shaky motion due to the influence of
infinity of states crossing the Trojan lines with
weaker and weaker avoided crossings. It appears
that the life cannot originated on the planet without
its rotation so the chemical Hamiltonians have
the infinitesimal rotational corrections to cause
the irregular spaghetti looking energy lines in
the parameter spaces and
stimulate life leading chemical attempts and this
where the Trojan wave packets live in strongly rotating frame. Besides the simply look like alive Paramecium caudatum and their Kirlian spectrum which in the
vacuum is spontaneous emission is strongly altered and suppressed. They are life or not Trojan wave packets
are alive !!!
Sun Jul 29 08:52:27 BST 2012 by Matt Kalinski
Probably there is no better model showing quantum to classical correspondence than the model of Trojan wave packets in two level atom.
No ever clearer it shows that this is the potential
which drives the quantum motor through the wave function phases with the energy
spacing frequency near the classical energy
equal to the classical particle Kepler frequency
and that in classical physics the forces are only apparent and the mathematical concept.
Probably there is no better model showing quantum to classical correspondence than the model of Trojan wave packets in two level atom.
No ever clearer it shows that this is the potential
which drives the quantum motor through the wave function phases with the energy
spacing frequency near the classical energy
equal to the classical particle Kepler frequency
and that in classical physics the forces are only apparent and the mathematical concept.
I myself however proposed yet another scheme
of generating Trojan wave packets. Instead of
slowly blowing near linear low angular momentum
trajectory into the full circle I proposed to generate the circular state (looking like the
cigarette smoke ring) first and then turn on the
CP field adiabatically-rapidly which will drive the packet along the Stark electric field energy
line like a locomotive on big German Bahnhoff
with tens of tracks into the right final state across many switches which are avoided crossing.
The avoided crossing works exactly like a railroad switch but steered by the speed of passing.
If you pass it slowly it will switch the track,
but passing comparatively fast will keep the
quantum train on straight track.
In thousands of states I found which
“track” links the station “circular state” and
the station “Trojan wavepacket”.
The full quantum simulation were not conducted yet. It requires 2 GB of the memory for one
complex array of the size 1024*1024*1024
to store the wave fuction and the code written
asily requires to store few of such arrays which
makes it more then 10 GB. It is still quite
slow memory consuming and expensive.
I myself however proposed yet another scheme
of generating Trojan wave packets. Instead of
slowly blowing near linear low angular momentum
trajectory into the full circle I proposed to generate the circular state (looking like the
cigarette smoke ring) first and then turn on the
CP field adiabatically-rapidly which will drive the packet along the Stark electric field energy line like a locomotive on big German Bahnhoff
with tens of tracks into the right final state across many switches which are avoided crossing. The avoided crossing works exactly like a railroad switch but steered by the speed of passing. If you pass it slowly it will switch the track,
but passing comparatively fast will keep the
quantum train on straight track.
In thousands of states I found which
“track” links the station “circular state” and
the station “Trojan wavepacket”.
The full quantum simulation were not conducted yet. It requires 2 GB of the memory for one complex array of the size 1024*1024*1024
to store the wave function and the code written
easily requires to store few of such arrays which
makes it more then 10 GB. It is still quite
slow memory consuming and expensive.
One may even say that the Trojan Hydrogen is
an Orbiitrap http://www.chem.purdue.edu/iii/Orbitrap%20Instrument.htm for the single
electron, a modification of the Kingdon trap http://en.wikipedia.org/wiki/Kingdon_trap invented yet in 20ties not for the ion but for a
particle so light and fragile as a carrier of the
electric current.
In order to understand Trojan-Paul stabilization for Paul trap, asteroids and Trojan wave packet let us consider the Schroedinger equation for the
particle in one dimension in the potential
of vibrating inverted harmonic oscillator:
i.e. with H=- d^2/2 d x^2 – a x^2 – b x^2 Sin( wt)
The transformation of the wave function
Psi -> Psi Exp [- i b x^2 Cos(w t)]
will eliminate the potential modulation
-b x^2 Cos (wt) and will produce the Schrodinger
equation for slow Psi with the
effective potential
1/( w^2 b^2) x^2 (1 + Cos(2 w t)] The
second term is oscillating 2 w and like in RWA
approximation can be dropped so the particle
will be in normal harmonic oscillator potential and stable if only 1/ (w^2) b^2 > a producing the stability diagram. The condition links the
curvature of the potential hill with the allowed
frequencies to stabilize the electron.
The underlying mechanism of stabilization of both the Trojan wave packets and Trojan asteroids is however the same, simply a rotating saddle like a horse saddle with the rider as an electron. Similarly to one dimensional inverted harmonic oscillator with the time dependent frequency which Newtons equation of motion is a Mathieu in time it has stable and unstable zones as the characteristic exponent depends on the
depth of the amplitude oscillations which is also a theory of the Paul trap.
The classical motion on a circle on the other side is on the quantum level simply an interference effect between two counter circulating plane waves and that is why the packet moves like it was a point particle on a circle and with the same frequency.
The realistic theory of creating Tachyons or particles with negative gravitational
mass appears also realistic withing improvement of general theory of relativity
allowing gravity fields with non-vanishing rotations i.e. the magnetic gravity
fields generated by currents of mass. The gravitational Lorents force in maximum vector
configuration will be given by
F = dm/dt G/c^2 M v /r
G is the gravitational constant from Newton law.
The first is the Ciolkowski factor of generating the normal rocket
thrust from the momentum edjection dm/dt * v , the second shows
how weak the effect and is the ratio of the hypothetical self iteraction energy
at the distance from the mass conductor to the relativistic rest energy
or
G M*M/r divided by M c^2
The same factor comes from the fact that the gravitational waves should also move
with the speed of light and should enter that way the wave equation for them,
The theory immediately implies anty-particle in the sense of not the electric
charge but in sense of the gravitational mass which would be negative.
Would would generate the pair is quantum graviton with the energy
of 2 m c^2 in analogy to electron positron pair.
From symmetry anty-g-particles would attract each other like the normal matter
but they would repel with the normal matter and the Earth.
Thule tachyonator could be filled with this any-g-matter permanently like
the baloon with the gas lighter then air. It however would have to use
rocket engines to land and dock since regenerating so many tachyons would be
again as expensive energetically as Mc^2.
The gravitation magntesm was discovered recently in superconductor experiments however much stronger that this theory.
The theory of Trojan wave packets as a
Rabi problem http://en.wikipedia.org/wiki/Rabi_problem is as follows:
The Hamiltonian of the hydrogen atom in the CP field is H=p^2/2-1/r- e x – w Lz. When w=E2-E1 the matrix of it in the basis of two first Hydrogen eigenstates of the type n=1, l=0, n=0 and n=2, l=1, m=1 (only those two states are degenerate for the exact resonance in the Bloch-Rabi rotating frame for the perturbation theory because of the Lz term) is H= {{E1, e d},{e d, E1}} with the eigenstate |X1>=(|100> + |211>)/2^0.5 and the energy E(1)=E1+d e (Trojan wavepacket) and |X2>=(|100> – |211>)/2^0.5 and E(2)=E1-d e (anty-Trojan wavepacket), d=128/243 a0. The first eigenstate is of the type 1 + Exp (i phi) while the other 1 – Exp (i phi) for any fixed r. Therefore the first eigenstate density is like cos(phi) localized around the angle phi=0 while the second is Pi-shifted. The radial localization is due to the overlap between two hydrogen states in r. For the larger and larger n (w=E_(n+1)-E_n, l=m=n-1) wavepackets sharply focus relatively to the atom size as the 1/n effect.
I originally discovered Trojan wave packets as follows: The Hamiltonian in two dimensions in circular coordinates is: H=-hbar^2/2m(d^2/r^2 dphi^2 + 1/r d/dr + d^2/dr^2) – w (hbar/i)(d/dphi) – 1/r – e r Cos(phi) . First I assumed that the wave function has a large angular momentum phase simply Psi -> Psi Exp(i l phi). The new wave function Psi fulfills the Schroedinger equation with the Hamiltonian H= -hbar^2/2m d^2/dr^2 +hbar^2/2m (l^2/r^2) – 1/r – hbar^2/2 m r^2 d^2/dphi^2 -i l hbar^2/m r^2 d/ dphi – w (hbar/i)(d/dphi) – e r Cos(phi). This Hamiltonian is still nonseparable so I applied Hartree approximation to the coordinate as it was of 1D particle. Simply H = H_r + H_phi, H_r= -hbar^2/2m d^2/dr^2 +hbar^2/2m (l^2/r^2) – 1/r and H_phi = – hbar^2/2 m r_0^2 d^2/dphi^2 – e r_0 Cos(phi) where selfconsistently Hartree averages were used r_0=Av(r), Av(d/dphi)=0, Av(d/dr)=0 to decouple to separability. The wave function is therefore a product of an approximate Gaussian in r localized around r_0 from locally harmonic normal centrifugal potential + Coulomb potential and the Mathieu function in phi. Trojan wave packet is here the localized inverted pendulum state and the anty-Trojan the ground state. This is opposite to the more exact Mathieu theory, the spectrum is inverted and of the pendulum mass 1 but not -1/3 and the exact classical stability of equilibrium points is opposite but it predicts both packets right where they are at phi=0 and phi=Pi points having the angular momentum hbar l= m w r_0^2/hbar and approximately right energies.
I originally discovered Trojan wave packets as follows: The Hamiltonian in two dimensions in circular coordinates is: H=-hbar^2/2m(d^2/r^2 dphi^2 + 1/r d/dr + d^2/dr^2) – w (hbar/i)(d/dphi) – 1/r – e r Cos(phi) . First I assumed that the wave function has a large angular momentum phase simply Psi -> Psi Exp(i l phi). The new wave function Psi fulfills the Schroedinger equation with the Hamiltonian H= -hbar^2/2m d^2/dr^2 +hbar^2/2m (l^2/r^2) – 1/r – hbar^2/2 m r^2 d^2/dphi^2 -i l hbar^2/m r^2 d/ dphi – w (hbar/i)(d/dphi) – e r Cos(phi). This Hamiltonian is still nonseparable so I applied Hartree approximation to the coordinate as it was of 1D particle. Simply H = H_r + H_phi, H_r= -hbar^2/2m d^2/dr^2 +hbar^2/2m (l^2/r^2) – 1/r and H_phi = – hbar^2/2 m r_0^2 d^2/dphi^2 – e r_0 Cos(phi) where selfconsistently Hartree averages were used r_0=Av(r), Av(d/dphi)=0, Av(d/dr)=0 to decouple to separability. The wave function is therefore a product of an approximate Gaussian in r localized around r_0 from locally harmonic normal centrifugal potential + Coulomb potential and the Mathieu function in phi. Trojan wave packet is here the localized inverted pendulum state and the anty-Trojan the ground state. This is opposite to the more exact Mathieu theory, the spectrum is inverted and of the pendulum mass 1 but not -1/3 and the exact classical stability of equilibrium points is opposite but it predicts both packets right where they are at phi=0 and phi=Pi points having the angular momentum hbar l= m w r_0^2 / hbar and approximately right energie
Haunebu, the flying dishes of Germany
Haunebu first could be a rigid airship like Zeppelin
but being build as the flying dish.
The ball on some line drawings could be simply metal
ball filled with hydrogen. The metal ball with
light gas becomes
a baloon when the ratio of the metal thickness
to radius of the ball is smaller then the ratio
between the air density and the metal density.
Some
pictures from below show clearly that light cover
was spanned on rigid skeleton. This implies it was light.
When it was light is could be propelled ionicly i.e.
first the air around was highly ionized by the reversed operation of Hans Coler free energy machine
which can generate rotating magnetic field same as by
the Tesla transformer, then the stream of ions
was accelerated by the van der Graaf generator to generate
the drag. The problem is this would require an enormous
power since this kind of motors are inefficient and it
would have to have nuclear reactor on board.
Most likely it was a combination of tunnel hovercraft
propulsion and the rigid airship or simply
the helicopter and the balloon in one. Magnetic
field from the impulser could be used only to orient it with respect to the
north using earth magnetic field when the helicopter-airship setup was used to put it high in the stratosphere first and then the rocket engine was turned on.
No one knows for what the Marconi dynamo was clearly but
it is the electric motor working on induction.
When the mercury is put in the rotating magnetic field
it will induce currents in the mercury which further
generate magnetic field which repel with the original, the mechanical rotation of the mercury occurs and the hydraulic torque which can be extracted by the turbine. This motor could be used further to
power the dish size propeller around which is seen on some drawings to enhance the ionic drag.
Also the basic idea to create antigravity with
strong electromagnetic field is correct within
non classified Physics.
It is known that the charged particles like
electrons or nuclei gain the mass when they are surrounded by the electromagnetic field.
The mass gain of the electron for example is
given by a simple formula dm=E^2 a^3 where
E^2 is the electromagnetic energy density and
and a is the size of the matter oscillation.
It simply means that the Einstein mass gain is
purely electromagnetic due to the surrounding
photons. The Haunebu in principle could be
as rigid as a tank. It would simply ionize the air around with ultra strong electromagnetic fields
and further accelerate the air electrons and ions
so strongly that they become heavy relativistic plasma, plasma denser than water which could
push it up as a balloon but with rigid construction.
To make the mass of the air plasma sufficient so
the flying dish weights nothing it is roughly
the same mass of Uranium that the dish weighs
before starting so the energy problem occurs.
Assuming the energy problem was solved somehow
the hull would have to stand the relativistic plasma
around and so beta gamma and alpha radiation.
Assuming the basic electromagnetic-Archimedean mechanism survives in some more complex theory like Einstein once worked but the formula stays the same
without matter, the force acting on Haunebu
even far above the Planet and without the air or
any matter like i a free space
would be against the gravity and equal E^2 V g/c^2 = G M E^2/(c^2 R^2) V where
E^2 is the electromagnetic energy density V is the Haunebu
volume c is the speed of light, g is the local gravity acceleration and, R is the Earth radius, and M the Earth mass with G
the gravitational constant.
The working Haunebu model
is quite simple to make since the normal radiation pressure is observable in the vacuum. It is a variation between the metal foil balloon with helium and the outer LC circuit of the Tesla transformer. The balloon may be spherical and it has
the light inductance coil attached to it. The balloon must be tuned to the weight resonance
i. e. must approximately neither fall or go up.
While the Tesla transformer is turned up near and
with the frequency of the balloon LC 2 Pi (1/LC)^0.5
the balloon will intercept the energy also radiate and fly up.
One may notice that even if Germany could produce
real Tachyons with the negative mass to repel with Earth as one an conclude from the
name of the main engine the Tachyonator, the energy order of such
device would be the same. The mass of the particles
generated by Haunebu of the negative mass by
the deexcitation of the vacuum and the relative
energy -mc^2 to the normal vacuum would be equal to the
energy emitted from for example the 1/2 contribution to the
all electromagnetic field oscillators as in
quantum Feynman theory.
This energy would be the same
that needed in the conventional theory without Tachyons
to create electromagnetic fields so dense that the
electromagnetic Archimedes principle is applied to Haunebu in the Earth gravity field to generate normal buoyancy by such fields and the effective
relativistic mass density equivalent to this field
is such that the mass of burned Uranium to generate them
would be the same that the mass of Haunebu and much above normal atomic bombs. This negative mass would
have first cancel with the positive Haunebu mass
and has also the energy -Mc^2.
The later however is the true effect since photons
really fall in the gravity fields and their pressure
on Haunebu is different above and below for the
fixed densities.
Working die Glocke, one of the central elements on some line drawings, chained
in the heavy concrete testing ring original movie suggests however that the
main antigravity was due to the normal nuclear
reactor inside die Glocke simply creating the virtual helicopter
blades from the air pressure for the tunnel propulsion as one can see a
clear radiation inside and the helicopter – like rotation
and instability of the rotor: http://www.youtube.com/watch?v=ENqMezb8otw&feature=fvsr . Running with the open reactor Haunebu was clearly not environmental friendly.
Haunebu could be also magnetic Helicopter from principle. Yet another and more realistic interpretation of the Haunebu technical drawings is possible, simply the magnetic helicopter using the Earth magnetic field, the field aligning the magnetic needle to show the North. Die Glocke could be than an electric or even Diesel motor to power the blades and the elecric power generator. Let us imagine that the helicopter blades are conducting and the current inside them is alternating and phased to the point when they are mostly perpendicular to the Earth surface magnetic field line when the Lorentz force on the current is maximum. But it again requires too giant currents of the magnitude of Tera Amperes through the blade so and superconductors if any to put 120 meters dish up interacting with the Earth field so weak so the Haunebu with this mechanism would be a balloon and the magnetic force would be only to steer it. With this interpretation the basic design as the magnetic helicopter is realistic but it again had to be also the balloon on weight resonance. Maybe the drawings are early and show good principle but with the lack of realistic parameters.
To provide thrust at least supporting the levitation
in Earth magnetic field only as weak as 10^-5 Tesla of the flying dish craft of the weight 10 tons or 100 000 Newtons and assuming at least 100 meters of looped semi-superconducting wire it requires from definition of Tesla providing Newton of Lorentz force from 1 m of the wire: 100 000 / 100 / 10 ^ -5 = 10^7 Amperes of the current which would constantly emit 10 MW of I*U heat if only under 1 V voltage. But the craft must accelate fast so should be really 100 times more or 1000 MW which is the whole big power station. Directly over the Earth magnetic poles the Haunebu could even use nonrotating fields but there the supporting component of the field would be even 1000 times smaller which is another factor. For the normal rocket the power of the rocket engine maybe 1-200 MW (2000 m/s of the trust gas velocity per Newton weight) so it would be giant military design most likely nuclear and supeconducting that way. Superconductors of this size are not possible but this could be also the tank of Mercury used as simulating superconductor in Marconi dynamo with induction currents to try to produce so giant current inside the liquid Mercury with no much heat. Die Glocke, the mysterious device seen on line drawings rotating the Mercury to induce currents would have to have such giant powers.
With that interpretation Marconi vortex dynamo (MVD)
powered by Die Glocke would be the giant electric
power generator with the main goal not to extract
that power out but to generate the giant magnetic dipole
around Haunebu interacting with the dipole of the Earth field to repel with it and generate antygravity.
The problem is that at the equator where the Earth
magnetic field is parallel to Earth horizon it would
no work that way at all and would try to turn the Haunebu over. The small version of the MVD would be the one electron, proton or neutron both spinning and having the magnetic moment which can be trapped and float in gradients of magnetic fields. Die Glocke would have to be at least the 1000 MW or at least of 10 big modern rockets nuclear power device.
However the Van de Graaf generator is mentioned
as well which suggests also usage of huge voltages. It appears at least from the principle to be possible to use mechanical currents in the Earth magnetic field to cause flying craft levitation,
for example scaled balls well known from toy school
electrostatic machines which would rotate parallel
to the Earth surface and the plane of the Earth magnetic field where at most places they are contained.
The symmetric pair of such balls rotating
again would cause the twist and the Haunebu to flip if
they have the same charges but if they had opposite charges the net force would be lifting. The voltage between them would have to oscillate and maximize where their linear velocity would be perpendicular to Earth field magnetic lines since otherwise the lifting force would oscillate and average to 0.
This could require the Tesla generator powered by the
static voltage van der Graaf. But it again requires giant numbers for voltages and powers.
The capacitance of perfectly conducting sphere
is C = 4 Pi Epsilon_0 R where the electric
susceptibility of the vacuum is very small
Epsilon_0 = 8.85 ^-12 F/m. To get mechanical current
of balls charges of 10 000 000 Ampers and the proper
Lorentz force to lift heavy object for ball of the radius 10 m and rotating at mechanical 10 kHz of modern electric motor and around
some 100 meters path it would take 10^10 = 10 000 MV to put one Coulomb of charge on the ball and generate
10 000 Ampers that way and 1000 more i.e 10 000 GV and 10 kHz oscillatory voltage.
Trojan Hydrogen is the microscopic Haunebu http://discaircraft.greyfalcon.us/HAUNEBU.htm device, the flying dish which presumably used the Earth magnetic field and megawatts of currents inside the spherical tank of Mercury, the Marconi vortex dynamo to generate huge magnetic dipole around the craft and emulate antigravity and the giant gyroscope to stabilize.
The Trojan electron rotating around is the current and the atom magnetic dipole
can be used to control the atom flight in gradients of magnetic fields according to
E(x)=- mu B(x) energy formula.
The Trojan wave packet is the Landau state but where one extends the classical
electrodynamics to complex fields and potentials to get the diamagnetic
term anti-harmonic. What would they mean ? Simply that in analogy to superstrings
which unlike point trajectories are extended objects in the space-time
more complex objects like twoparticles – pair of particles described by complex trajectories would be subjected to dynamics. The complex electromagnetic potential provides the necessary terms to make the saddle point instead the harmonic potential which is further rotating as represented by the paramagnetic Coriolis potential.
It is truly amazing such exotic Landau states has been observed as singles
but not in collective condensed matter experiment.