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RS Electrogravitic References: Part 13 of 19.

Date: Mon, 27 Feb 1995 16:32:21 +0200 (CET) Deformation of Partical 
Distribution Functions due to Q-nonlinearity and Nonstationary Casimir Effect, 
Author: V. I. Man'ko 
The geometrical phase is shown to be integral of motion. Deformation of 
particle distribution function corresponding to nonstationary Casimir effect 
is expressed in terms of multivariable Hermite polynomials. Correction to 
Planck distribution due to q--nonlinearity is discussed.

Date: Wed, 1 Mar 95 08:23:43 PST
Detecting Casimir Forces through a Tunneling Electromechanical Transducer 
Authors: Roberto Onofrio , Giovanni Carugno 
We propose the use of a tunneling electromechanical transducer to dinamically 
detect Casimir forces between two conducting surfaces. The maximum distance 
for which Casimir forces should be detectable with our method is around $1 
\mu$m, while the lower limit is given by the ability to approach the surfaces. 
This technique should permit to study gravitational forces on the same range 
of distances, as well as the vacuum friction provided that very low 
dissipation mechanical resonators are used.

CONDENSED MATTER THEORY, ABSTRACT COND-MAT/9505023 From: (Fernando Moraes) Date: Fri, 5 May 95 09:35:57 EDT
Casimir effect around disclinations
Author: Fernando Moraes (Institute for Advanced Study, Princeton) 
This communication concerns the structure of the electromagnetic quantum 
vacuum in a disclinated insulator. It is shown that a nonzero vacuum energy 
density appears when the rotational symmetry of a continuous insulating 
elastic medium is broken by a disclination. An explicit expression is given 
for this Casimir energy density in terms of the parameter describing the 

CONDENSED MATTER THEORY, ABSTRACT COND-MAT/9505108 From: (Fernando Moraes) Date: Tue, 23 May 95 17:12:35 EDT
Enhancement of the magnetic moment of the electron due to a topological defect 
Author: Fernando Moraes (Institute for Advanced Study, Princeton) 
In the framework of the theory of defects/three-dimensional gravitation, it is 
obtained a positive correction to the magnetic moment of the electron bound to 
a disclination in a dielectric solid.

 Date: Wed, 7 Jun 1995 16:30:40 +0200
Mechanical Effects of Radiation Pressure Quantum Fluctuations Authors: Marc-
Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole Normale 
Sup\'erieure) , Serge Reynaud (Laboratoire Kastler-Brossel) 
As revealed by space-time probing, mechanics and field theory come out as 
complementary descriptions for motions in space-time. In particular, quantum 
fields exert a radiation pressure on scatterers which results in mechanical 
effects that persist in vacuum. They include mean forces due to quantum field 
fluctuations, like Casimir forces, but also fluctuations of these forces and 
additional forces linked to motion. As in classical electron theory, a moving 
scatterer is submitted to a radiation reaction force which modifies its 
motional response to an applied force. We briefly survey the mechanical 
effects of quantum field fluctuations and discuss the consequences for 
stability of motion in vacuum and for position fluctuations.

 Date: Wed, 7 Jun 1995 16:58:17 +0200
Quantum Fluctuations and Inertia
Authors: Marc-Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole 
Normale Sup\'erieure) , Serge Reynaud (Laboratoire Kastler-Brossel) 
Vacuum field fluctuations exert a radiation pressure which induces mechanical 
effects on scatterers. The question naturally arises whether the energy of 
vacuum fluctuations gives rise to inertia and gravitation in agreement with 
the general principles of mechanics. As a new approach to this question, we 
discuss the mechanical effects of quantum field fluctuations on two mirrors 
building a Fabry-Perot cavity. We first put into evidence that the energy 
related to Casimir forces is an energy stored on field fluctuations as a 
result of scattering time delays. We then discuss the forces felt by the 
mirrors when they move within vacuum field fluctuations, and show that energy 
stored on vacuum fluctuations contributes to inertia in conformity with the 
law of inertia of energy. As a further consequence, inertial masses exhibit 
quantum fluctuations with characteristic spectra in vacuum.

QUANTUM PHYSICS, ABSTRACT QUANT-PH/9506023 From: (Claudia C Eberlein) Date: Thu, 15 Jun 95 
11:13:57 -0500
Sonoluminescence as quantum vacuum radiation Author: Claudia Eberlein (Dept of 
Physics, UIUC, Urbana, IL) 
Sonoluminescence is explained in terms of quantum radiation by moving 
interfaces between media of different polarizability. It can be considered as 
a dynamic Casimir effect, in the sense that it is a consequence of the 
imbalance of the zero-point fluctuations of the electromagnetic field during 
the non-inertial motion of a boundary. The transition amplitude from the 
vacuum into a two-photon state is calculated in a Hamiltonian formalism and 
turns out to be governed by the transition matrix-element of the radiation 
pressure. Expressions for the spectral density and the total radiated energy 
are given.

(Emili Elizalde)
Date: Fri, 18 Aug 1995 10:14:50 +0200
A precise definition of the Casimir energy, Authors: K. Kirsten , E. Elizalde 
The somehow arbitrary definition of the Casimir energy corresponding to a 
quantum system in a $d$-dimensional ultrastatic spacetime ---profusely used in 
the last years--- which has been critized sometimes for adopting without a 
sound argument the minimal subtraction scheme, is shown to be completely 
equivalent to the definition steming naturally from the concept of functional 
determinant through the zeta-function prescription. This is done by 
considering the theory at finite temperature and by defining then the Casimir 
energy as its energy in the limit $T\to 0$. The ambiguity in the coefficient 
$C_{d/2}$ is understood to be a result of the necessary renormalization of the 
free energy of the system. As an example, the Casimir energy corresponding to 
a general $(1+2)$-dimensional toroidal spacetime with flat spatial geometry, 
parametrized by the corresponding Teichm\"uller parameters, and its precise 
dependence on these parameters is obtained under the form of an analytic 

Ernest G. Cullwick. In his book "Electromagnetism and Relativity", published 
in 1957, was one of the first to provide an analysis of the probable coupling 
between EM and inertial fields. Cullwick realized that Maxwell's equations and 
most existing theories of electrodynamics assume that the mass of an electron 
is zero. At Maxwell's time this was a reasonable assumption. But it is well 
known today that electrons have mass, and therefore an inertial momemtum is 
always associated with an electric current. Cullwick suggested in his analysis 
that coupling terms between EM and inertia may be very small, but would likely 
appear sometime in the future as we go to higher current densities. And he was 
one of the first scientists to predict some of the odd effects which can now 
seen with superconductors. Cullwick was also one of the first to identify and 
attempt an analysis of the relativistic paradoxes and unusual effects which 
occur in a rotating EM field. His work still stands today as one of the only 
existing efforts to consider the problem of a rotating EM field.

AUTHOR:	Cullwick, E. G. (Ernest Geoffrey), 1903-
TITLE:	Electromagnetism and relativity : with particular reference
to moving media and electromagnetic induction / by E. G. Cullwick.
EDITION	2d ed.
PUBL.:	New York : J. Wiley,
DATE:	1959 (2nd Edition)
SUBJECT: Electromagnetic theory, Relativity (Physics) 

AUTHOR:	Cullwick, E. G. (Ernest Geoffrey), 1903-
TITLE:	The fundamentals of electro-magnetism by E.G. Cullwick.
EDITION	3rd ed.
PUBL.:	London, Cambridge U.P.,
DATE:	1966 (3rd Edition)
SUBJECT: Electromagnetism

AUTHOR:	Cullwick, E. G. (Ernest Geoffrey), 1903-
TITLE:	The fundamentals of electro-magnetism; a restatement for
engineering students and others of physical and theoretical principles in 
accordance with modern scientific thought, by E. Geoffrey Cullwick ... With an 
appendix and numerous examples on the recently adopted M.K.S. system of 
practical units ...
PUBL.:	New York, The Macmillan company; Cambridge, Eng., The
University press,
DATE:	1939
SUBJECT: Electromagnetism

If you work out the metric for EM waves circulating in a cavity you get some 
strange results. There is a preliminary discussion of this effect in the 
article by Houshang Ardavan, 'Gravitational Waves from Electromagnetic Waves' 
in the book "Classical General Relativity," edited by W.B. Bonner, I.N. Islam 
and M.A.H. MacCollum (Cambridge Univ. Press, 1984).
It is something I have seen done. At the point in an annular cavity where the 
phase velocity goes from less than c to greater than c, a term shows up in the 
derived metric of the system that looks like a source term. On the other hand 
you have assumed that the metric is source free in the EM region of the 
cavity. So you get a solution which contradicts the hypothesis that went into 
building the solution. You get something which is possibly unphysical. Now 
Einstein's equation and the associated geometry is pretty tricky and it is 
easy to get unphysical solutions. The final arbitors of whether a solution is 
satisfactory or not is physical reasonability and self consistancy (these are 
almost the same thing). The cavity problem seems very physically reasonable 
initially, but ends with a self-consistancy problem which appears to be 
unphysical. Also, Cauchy's theorem does not apply to this case since it 
becomes a mixed type problem (elliptic and hyperbolic PDEs), so the Hawking 
singularity theorems don't a priori apply. It is something very interesting, 
but to publish it with out being scoffed at would take a lot of work and 
possibly inventing some new math. -- Jim McClune, University of Missouri

Begins with a short introduction to the relevant aspects of general 
relativity. This is followed by a detailed derivation of the Wehl-Lewis-
Papapetrou form of the stationary axially symmetric metric. The Kerr and 
Tomimatsu-Sato forms of the rotating interior and exterior solutions of the 
Einstein equations are then considered. Subject: physics
1985 6 X 9 122 pp. 4 diagrams
Hardback 0-521-26082-5 $47.95 (7.99)

>If an EM field is somehow rotated extremely fast, shouldn't all matter be 
repelled from its center? -kgo. 

How fast do you want it rotated? It's fairly simple to construct a system to 
produce rotating EM waves at whatever rotational velocity you wish by feeding 
a pair of broadside dipole arrays with quatrature phased waves. It is quite 
simple to construct a system that would have a rotational velocity of C within 
the uniform field area. It might also be fairly easy to do this with a 
Hemholtz coil arangement as well, but the broadside array will be much easier 
to do at easily engineerable frequencies. Some really interesting paradoxes 
come about when the rotational frequency is high enough so that the rotational 
velocity exceeds C within the uniform field area of the arrays or within the 
hemholtz coils. -- Robert Shannon

Ehrenfest Paradox (Ehrenfest, 1909) --
The special relativistic "paradox" involving a rapidly rotating disc. Since 
any radial segment of the disc is perpendicular to the direction of motion, 
there should be no length contraction of the radius; however, since the 
circumference of the disc is parallel to the direction of motion, it should 

Question -- by Kung Lo (October 1995):
Take a rigid disk of radius R and spin it up to angular velocity . As seen by 
an observer S that is at rest in the center of the disk, the radius is still 
R, but the circumference is contracted by the Lorentz effect. How is this 
More physically, if a fixed ring is just outside the spinning disk and placed 
with equally spaced markers on the rim of the disk and on the fixed ring, I 
know by symmetry that, when one marker on the disk is aligned with a marker on 
the ring, all pairs of markers must be aligned. This contradicts the fact 
that, for observer S, the distance between successive markers on the disk is 
reduced by the Lorentz factor.

Answer -- provided by David Djajaputra (November 1995): It seems that the 
rotating disk paradox (it turned out to be Ehrenfest's paradox) has been 
extensively analyzed by many people (including Einstein himself, who developed 
general relativity to answer this problem, as one author speculates...). This 
I found from a nice paper : 

O. Gron, "Relativistic description of a rotating disk" Am. J. Phys. V43, 869 
(1975), and all the references therein. 

The key sentence in Gron's paper is at the end of Section IV: 
"By definition a Born rigid motion of a body leaves lenghts unchanged, 
when measured in the body's proper frame . (...) A Born rigid motion is not a 
material property of the body, but the result of a specific program of forces 
designed to set the body in motion without introducing stresses. (...) A 
transition of the disk from rest to rotational motion, while it satisfies 
Born's definition of rigidity, is a kinematic impossibility"

With this kinematics the radius is R and the circumference is as measured by 
observer S (lab frame), but an observer riding on the disk will measure a 
distance R to the center and a distance around the circumference (he can do 
this measurement by slowly walking around the spinning disk with a meter 
tape). This is consistent with the usual Lorentz contraction . The point is 
that this is NOT a Born rigid motion. There is much more in Gron's paper. -- 
Vittorio Celli

Several key pharases keep popping up regarding rotating fields, powerful 
magnetic pulsed fields, and 90 degree cross-field phase shifts. For example, 
Preston Nicholes describes a device known as a Delta T antenna in the Montauk 
series of books. The Delta T antenna is described as a pyramidal structure, 
but lets just take two square loops, placed at 90 degrees to each other, and 
feed these two loops with an RF signal, also with a 90 degree phase shift, we 
will produce a rotating magnetic field within the loops (these loops share a 
common center point, and each loop is in a plane 90 degrees from the other) 
The speed of rotation of this magnetic field is a direct function of the 
frequancy of the applied RF signal. At the center of the antenna, the 
rotational velocity is zero, but as you move out from the center, and 
rotational velocity increases. At some distance from center would reach the 
speed of light, dependant of the frequancy used. One could imagine that the 
rotational velocity of this rotating magnetic field could reach the speed of 
light within the antenna structure itself if a way could be found to make the 
antenna much larger than a normaly resonant antenna would be for that same 
frequancy. At several hundred megahertz, a two meter per side square loop 
would have a rotational velocity well in excess of the speed of light within 
the antenna structure itself.
What effect would there be at the boundry where the rotational velocity 
reached, and then exceeded the speed of light. How could the magnetic field 
even propogate to the center of the antenna structure if it would have to move 
faster than light to reach that space? If hemholtz coils were used instead of 
loops, the magnetic field strength would be uniform inside the structure, how 
could the field strenght be uniform if there is not sufficient time for the 
field to propogate through the space inside the structure itself?
Could such an effect actually generate a wormhole like phenomena, at energy 
levels far below that of neutron stars and such? As the causal mechanism, the 
magnetic field, is in roation, would this describe a traversable worm hole as 
has been postulated in relationship to rotating black holes? -- Robert Shannon

Aono, Osamu, 1937-
Rotation of a magnetic field / Osamu Aono and Ryo Sugihara. Nagoya, Japan : 
Institute of Plasma Physics, Nagoya University, 1986. 6 p. ; 30 cm. LC CALL 
NUMBER: QC717.6 .N35 no. 792 (ALTERNATE CLASS QC754.2.M3) SUBJECTS: Magnetic 
fields. Electrodynamics. Research report (Nagoya Daigaku. Purazumu Kenkyujo) ; 
IPPJ-792. --------------------------------------------------------------------

Let me clear this up a bit, the two coils are acting as antenne already, 
producing the rotating field by vector sumnation of the radiated quatrature 
phased EM waves. The loops would be operating as the driven elements of a 
cubical antenne, not as coils as such. If you prefer, substitute the two loop 
antenne with a pair of crossed dipoles at 90 degrees, this will also produce 
the rotating field, but the center will be occupied by the dipoles rather than 
be open as with loop antenne of by using sets of broadside arrays. Note that 
this is not the same as the rotational speed reaching c inside the "uniform 
field" area, as described earlier. It's simple a tool to understsand the 
generation of the rotating field and the relationship between applied 
frequency and the resultant roational speed. Rather than loop elements, in 
practice you might use a phased array of dipole elements that produces a 
constant phase plane wave, not unlike a pair of hemholtz coils produced a 
uniform field within the coil sets. Four of these "broadside arrays" would 
from the four sides of a cube, inside of which you could induce the fast 
rotating fields from the radiated EM waves. In all cases, the driven elements 
are lauching EM waves a c. Only the vector sum of the two (of four) quatrature 
fields is in rotation, which leads us back the the question of what happens as 
the rotational velocity of the sum of these EM fields reaches c within the 
field generator, and there is not sufficient time for the fields to propogate 
accross the Vr=c boundry?
This is the point where two different physists have tried to lead me dowm the 
garden path of "red shifted magnetic fields". I'm not sure I'm ready to buy 
that concept just yet.
-- Robert Shannon

Dray  Date: Mon, 22 Jan 1996 10:57:03 PST
The Rotating Quantum Vacuum
Author(s): Paul C. W. Davies , Tevian Dray , Corinne A. Manogue Report-no: ADP 
95-43/M36 (University of Adelaide) 
We derive conditions for rotating particle detectors to respond in a variety 
of bounded spacetimes and compare the results with the folklore that particle 
detectors do not respond in the vacuum state appropriate to their motion. 
Applications involving possible violations of the second law of thermodynamics 
are briefly addressed.

I'm also saying that a pair of crossed coils will start behaving differently 
when the driving frequency is so high that the field lines near them try to 
exceed the speed of light. At low frequencies the coils create a rotating 
magnetic field. At high frequencies they send out radio waves having a 
rotating field vector (circularly polarized waves, in other words.) WITHIN the 
volume of the coils the fields still rotate, at least until the frequency is 
raised so high that the coils are many wavelengths across. At these 
frequencies the fields in the center of the crossed coils would be of complex 
shape, maybe some kind of contracting spiral. (Which is interesting, because 
at very high frequencies there would be a "hot spot" at the exact center of 
the crossed coils.) -- Robert Shannon

On similar topic: anyone ever heard of the "CFA antenna" flap in the UK? CFA 
is for "crossed-field antenna." There were a bunch of articles and letters to 
the editor in EWW, "Electronics and Wireless World," the British engineering 
mag. The CFA-believers though they had discovered a way to make 1-foot 
antennas which were efficient at 100-meter wavelengths. The key to the CFA was 
to create the e- and b-fields separately: feed both a coil-loop and a pair of 
capacitor-spheres with separate high-current and high-voltage signals 
respectively, orient them 90deg to produce a broadside wave, shift the phases 
with L/C networks to form the proper EM wave (90? zero? ), and then 
obtain a powerful EM emission from a tiny antenna. There was a great quantity 
of argument and name-calling over this, all done in slow-motion over many 
months of letters in the letters-to-the-editor column. Then it just died away. 
Either the pro-CFA side couldn't prove that it worked, or nobody believed the 
proof they did find.
-- William Beaty
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