At the end of this page see some abstracts of IARD2002 Conference.
Some abstracts were lost, one was somewhat damaged, yet 14 were kept here properly.
This is an OLD IARD page, "Howard University style."
Some links are not valid anymore.


International Association for Relativistic Dynamics
IARD 2004 Conference: 4^{th} Biennial Meeting: 1219 June 2004,
Saas Fee, Switzerland


Saas Fee Conference Center (with Mountain view)
Current Speakers List
(*plenary speaker, **to be confirmed)
N. BenAmots, (Haifa, Israel) 
Ahmedov Bobomirat (Tashkent) 
L. Burakovsky (Los Alamos) 
F. Cooperstock (Victoria)* 
L. Csernai (Norway) 
A. Davidson (Beersheva, Israel)* 
J. Fanchi (Colorado) 
H. Feldmeier (Darmstadt)* 
D. Finkelstein, (Georgia Tech) 
A. Gersten (BenGurion, Israel) 
T. L. Gill, (Howard U.) 
E. Guendelman (Beersheva, Israel)* 
A. Harpaz, (Israel) 
U. Heinz (CERN)* 
L.P. Horwitz (Tel Aviv) 
T. Ivesic (Croatia) 
V. Kurbonova (Russia) 
M. Land, (Hadassah C, Israel) 
M. Lutz (Darmstadt)* 
R. L. Mallett, (Connecticut) 
H. Montanus (Netherlands) 
E. Mottola (Los Alamos)* 
J. O'Hara (Illinois) 
JeanYves Ollitraut (Saclay)* 
M. Pavsic (Slovenia) 
F. Piazzese (Torino) 
C. Piron (Geneva)** 
J. Brian Pitts (Texas) 
Erasmo Recanti (Milano) 
D. Rischke (Columbia)* 
D. Salisbury (Texas) 
R. M. Santilli (IBR, Florida) 
W. Schieve, (Texas) 
B. Segev (Beersheva, Israel) 
Edward Shuryak (Stony Brook)* 
S. Sklarz (Weizmann Institute, Israel) 


>>> In progress <<<
Days :
IARD 2004
Conference Abstracts
IARD 2002 Conference
Abstracts
Lawrence.
P. Horwitz and Ori Oron,
Tel
Aviv University/Bar Ilan University,
Israel:
“The
Conformal Metric Associated with the U(1) Gauge of the StueckelbergSchroedinger
Equation”
We show that the Lorentz scalar gauge field, which is
the gauge compensation field for the derivative with respect to the evolution
parameter of the StueckelbergSchroedinger equation, can be absorbed into a
conformal metric.The geodesic equations
correspond to a Lorentz force of the usual form, plus a term arising from the
geodesic of the conformal metric.These
equations coincide with the Hamilton equations derived from the Stueckelberg
evolution function.Comparing with the
known conformal form of the RobertsonWalker metric, we show that the source of
the scalar field is an isotropic, homogeneous mass density
distribution.
“Eikonal approximation to 5D wave equations
as motion in a curved 4D spacetime”
We demonstrate, in the eikonal approximation to the
5D generalization of Maxwell's electrodynamics demanded by the gauge invariance
of Stueckelberg's covariant classical and quantum dynamics, the existence of
geodesic motion for the flow of mass in a fourdimensional pseudoRiemannian
manifold.No motion of the medium is
required. These results provide a foundation for the geometrical optics of the
five dimensional radiation theory and establish a model for which there is mass
flow along geodesics.Finally, we discuss
the interesting case of relativistic quantum theory in an anisotropic medium as
well.In this case the relativistic
quantum mechqnical current coincides with the geodesic flow governed by the
resulting pseudoRiemannian metric. The locally symplectic structure which
emerges is that of Stueckelberg's covariant mechanics on a
manifold.
Ruggero
M. Santilli,
Institute
for Basic Research, Palm Harbor, Florida:
“Invariant
Lifting of Special Relativity for Interior Dynamical Problems and Arbitrary
Interactions”
The classical and operator versions of established
theories are linear, localdifferential and Hamiltonian.As such, they are exactly valid for all
physical conditions in which particles can be well approximated as being
pointlike moving in the homogeneous and isotropic vacuum, under
actionadistance, potential interactions. These are systems historically
referred to as those of the "exterior dynamical problems". Examples of exact
validity of established theories are the planetary and atomic structures, as
well as the electroweak interactions at large.
A broadening of established theories is studied for
more general systems, historically referred to as those of the "interior
dynamical problems" and consisting of extended, nonspherical and deformable
particles moving within generally inhomogeneous and anisotropic physical media.
These conditions prevent any effective pointlike approximation of particles,
and admit the most general known interactions of linear and nonlinear,
localdifferential and nonlocalintegral as well as potentialHamiltonian and
nonpotentialnonhamiltonian type.
In this talk, we show how the theory of LieAdmissible Algebras makes it possible to lift the special theory of relativity to a more general framework, which allows us to study the interior dynamical problem.
David
R. Finkelstein,
Georgia
Institute of Technology:
“The
Quantum Universe as Computer.”
The usual relativistic quantum dynamics has several nonsemisimple groups. Such theories are unstable singular limits of stabler and simpler theories that preserve the basic principles of quantum theory and relativity at least asymptotically. We put forward one such theory that represents the universe as a reversible quantum computer, with reversible quantum logic as the computer language. Necessarily its spacetime is quantum. The usual Heisenberg indeterminacy principle survives an approximation valid at low energies. At high energies a weaker inequality holds.
“The
Everett Interpretation of Quantum Mechanics”
In a
1957 article, Hugh Everett III proposed that the foundation of quantum mechanics
be regarded as providing a description of reality in exactly the same sense as
the formation of classical mechanics was thought to do. A brief account will be
given of the “manyworlds” picture to which this view leads and of the way it
dovetails with the more recent “consistenthistories” interpretation, leading to
an understanding of how the familiar “classical” world
emerges.
Bryce
S. DeWitt (19232004),
University
of Texas,
Austin:
“Quantum
Gravity A Survey”
abstract not yet
available
“Dynamical
Vector Fields in Quantum Physics”
The classical action, S of a system, or its
Hamiltonian, H are usually the starting point of its quantization.There is another less known, but powerful
method, which begins with a set of vector fields on a manifold. The key steps of
the method are:
1.Identifying the manifold and the set of vector
fields dictated by the system.
2.Constructing the corresponding functional
integral.
3.Writing down the Schroedinger equation satisfied
by the functional integral.Reading off
the Hamiltonian.
4.The semiclassical approximation of the functional
integral yields the classical action function.
There is a straightforward blue print for steps 2, 3, and 4, which will be presented briefly.Choosing the dynamical vector fields is an art, similar to the art of choosing the action dictated by the system.Two nontrivial examples of dynamical vector fields will be given  possibly three if time permits.
Elliot
Lieb,
Princeton
University:
“Stability
of a Model of Relativistic Quantum Electrodynamics ”
The relativistic "no pair" model of quantum
electrodynamics uses the Dirac operator, D(A) for the electron
dynamics together with the usual selfenergy of the quantized ultraviolet cutoff
electromagnetic field A  in the Coulomb gauge.There are no positrons because the electron
wave functions are constrained to lie in the positive spectral subspace of some
Dirac operator, D, but the model is defined for any number, , of electrons, and hence describes a true manybody system.
In addition to the electrons there are a
number, , of fixed nuclei with
charges . If the fields are not quantized but are classical, it was
shown earlier that such a model is always unstable (the ground state
energy ) if one uses the customary D(0) to definethe electron space, but is stable () if one uses D(A) itself (provided the fine
structure constant and are not too large).
This result is extended to quantized fields here, and stability is proved
for and . This formulation of QED is somewhat unusual because
it means that the electron Hilbert space is inextricably linked to the photon
Fock space. But such a linkage appears to better describe the real world of
photons and electrons.This is joint work
with Michael Loss.
John
L. Challifour,
Indiana
University:
“The Dynamical Semigroup in
Relativistic Quantum Gauge Theories”
The quantization of gauge theories using a local,
covariant gauge field requires an indefinite metric and subsequent loss of
OsterwalderSchrader positivity on the Euclidean Hilbert space. For the case of
ChernSimons theories, it is shown how to define the OsterwalderSchrader map,
the WightmanGarding framework and a positive, selfadjoint semigroup starting
with a Euclidean framework.
David
Batchelor,
NASA
Goddard Space Flight Center:
“Relativistic
Dynamical Models for Antiparticle Pairs in Vacuum
Fluctuations”
Heisenberg's Uncertainty Principle determines the
lifetimes of the antiparticle pairs that arise in vacuum fluctuations. This
presentation describes semiclassical models for the dynamics of these twobody
systems (electronpositron, quarkantiquark, and the other elementary massive
particles). The models yield pair lifetimes that equal the Heisenberg lifetimes,
to good approximation in most cases.The
success of the models at predicting Heisenberg's pair lifetimes enables us to
derive good approximations for the unit of charge 'e' and the QCD
coupling parameter . The author concludes that Heisenberg's Uncertainty
Principle governs the strengths of the two strongest forces (the electromagnetic
force and the QCD color force).Full
details may be found in the author's paper in Foundations of Physics,v. 32, no.
1, pp. 5176 (2002).
Netsivi
BenAmots,
Haifa,
Israel:
“Basic
Aspects of Relativistic Rotation: Franklin Rotation of a
Sphere”
We give
a relativistic treatment to the dynamics of spherical bodies rotating at very
high speed. It is found that most of the mass of a homogeneous spherical quark
with Franklin rotation, is due to the relativistic increase of the
mass.
“Basic
Aspects of Relativistic Gravitation: Variable Rest Mass and Motion of a pair of
Masses”
This
paper deals with a relativistic theory of gravitation based on the assumption of
variable rest mass, and explores some implications.
Amos
Harpaz ,
Israel:
“The
Equation of Motion of a Charged Particle”
The
equation of motion (EOM) for an electric charge includes a third time derivative
of the position. Usually, an EOM includes only the second derivative of the
position, which demands two initial conditions for the solution of the equation.
The presence of the third time derivative in this EOM raised the question, what
third initial condition should be implied, and why this EOM is different from
the regular EOMs in classical mechanics.
We find
that the third initial condition needed to complement the solution is the
initial acceleration, which determines the stress force in the curved electric
field of the accelerated charge, and this is why the third time derivative of
the position appears in the EOM of a charged particle. This stress force acts as
a reaction force on the accelerated charge, and the work done by the
accelerating (external) force in overcoming this reaction force is the source of
the energy carried by the radiation. The existence of this reaction force also
solves the "energy balance paradox" that bothered physicists for a long
time.
The
stress force density is given by:, where E is the electric field of the charge,
and is the radius of
curvature of the electric field. It is found that for the simple case of a
charge accelerated in a hyperbolic motion, the radius of curvature is given
by: , where is the acceleration of
the charge and is the angle between
the direction of motion and the initial direction of the field line. We
consider as the characteristic
radius of curvature of this motion, and it is clear that the acceleration plays
a crucial role in determining the radius of curvature of the electric field of
an accelerated charge in any accelerated motion. Hence the initial value of the
acceleration is needed to define the parameters of the motion, and the
appearance of the third derivative of the position in the EOM is not a sad
accident, but a legal requirement.
The
situation described here resembles the situation in which a charge is supported
at rest in a gravitational field. The electric field of the charge falls in a
free fall in the gravitational field, the electric field is curved, and the
expression for the radius of curvature of the electric field includes , which is the gravitational acceleration that characterizes
the gravitational field.
J.
Brian Pitts,
St.
Edward’s University, Austin, Texas:
“The
Special Relativistic Approach to Einstein's Equations”
If Einstein's equations are to describe a field theory of gravity in special relativity, then the curved metric must respect the flat background metric's null cone.We give a kinematic description of the problem using a generalized eigenvector formalism based on the Segre’ classification of symmetric rank 2 tensors with respect to a Lorentzian metric.Using the naive gauge freedom, plausibly one can enforce the proper null cone relationship by restricting the configuration space.Gauge transformations do not form a group, but rather a groupoid.The flat metric guarantees global hyperbolicity, which dissolves the Hawking black hole information loss paradox.
Matej
Pavsic,
Josef
Stefan Institute,
Ljubljana,
Slovenia:
“Clifford
Space as the Arena for Physics”
A space (in particular, spacetime) consists of points
(events). But besides points there are also lines, surfaces, volumes, etc…
Description of such geometric objects has turned out to be very elegant if one
employs multivectors, which are the outer products of vectors. All those
objects are elements of Clifford algebra. Since in physics we do not consider
point particles only, but also extended objects, it appears natural to consider
Clifford algebra as an arena in which physics takes place. Instead of spacetime
we thus consider a more general space, the so called, Clifford manifold
or Cspace.
This is a space of the oriented r+1dimensional areas
enclosed by rloops. We show that the extended objects can be described by
rloops and that the rloop coordinates are natural generalizations of the
concept of the center of mass coordinates. Besides the center of mass velocity
an extended object has also the area velocity, the volume velocity, etc. (called
multivector or holographic velocities).
We generalize the theory of relativity from Minkowski
space M to Cspace and thus bring into the game the holographic velocities.
Besides the speed of light afundamental
length L has to be introduced. If we take L equal to the Planck length we find
that the maximum holographic speed are very slow and this explains why on the
macroscopic scale we do not observe them. For instance, the area (the 2vector)
speed is of the order of 10^{26} m^{2}/sec.
The action for a “point particle” in Cspace is
analogous to the action for a point particle in M_{4}. It is equal to
the length of the world line in Cspace. This action constrains the polymomentum
to the mass shell in Cspace. If we reduce the Cspace action with respect to
the 4volume (4vector or pseudoscalar) variables = X^{0123}, then all other variables
are independent and evolve with respect to s which assumes the role of evolution
parameter (the true time). The action so reduced is precisely the (well known)
Stueckelberg action of the relativistic dynamics.
In the unconstrained, minimal length, action, the
variables are functions of an
arbitrary parameter . The 4 volume also changes
with . This explains why the world lines (actually the world
tubes, if particles are extended) in M_{4} are so long along timelike
directions, and have so narrowspacelike
extension. This is just a very natural ``final" state of objects evolving in
M_{4}. Initially the objects may have arbitrary shapes, but if their
2vector and 3vector speeds are of the right sign (so it is on average in half
of the cases), then their extensions along timelike directions will necessarily
increase for positive 4vector speeds; increasing 4volume necessarily implies
increasing length of a world tube (whose effective 2area and 3volume are
constant or decreasing). Long world lines are necessary in order to provide the
observed electromagnetic fields. Finite extensions of world lines provide a
cutoff to the electromagnetic interaction, which is predicted to change with
time.
All the conservation laws are still valid, since the
true physics is now in Cspace. In Cspace there is no ``flow of time'' at all:
past, present and future coexist in the 16dimensional “block” Cspace, with
objects corresponding to wordlines in Cspace. On the contrary, in the
4dimensional subspace M_{4} objects are evolving with respect to the
Lorentz invariant evolution parameter s. A reconciliation between two seemingly
antagonistic views is achieved, namely between the assertion that there is no
time, no flow of time, etc., and the view that there is evolution, passage of
time, relativistic dynamics. Both groups of thinkers are right, but each in its
own space.
Tomislav
Ivezic,
Rudjer
Boskovic Institute,
Zagreb,
Croatia:
“Relativistic
Electrodynamics without Reference Frames: Clifford Algebra
Formulation”
In the usual Clifford algebra formulation of electrodynamics the Faraday bivector field F is decomposed into the observer dependent sum of a relative vector E (corresponding to the threedimensional electric field vector and a relative bivector e_{5}B corresponds to the three dimensional magnetic field vector and e_{5 }is the (grade4 pseudoscalar). In this paper we present an observer independent decomposition of F by using the vectors (grade1) of electric E and magnetic B field and consequently develop the invariant formulation of relativistic electrodynamics (independent of the reference frame and of the chosen coordinatization for that frame). This formalism does not make use of the intermediate electromagnetic 4potential A and thus dispenses with the need for the gauge conditions. Moreover we present an equivalent formulation of electrodynamics by using the multivector (Clifford aggregate)<![if gte
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