1,596 research outputs found
The status and programs of the New Relativity Theory
A review of the most recent results of the New Relativity Theory is
presented. These include a straightforward derivation of the Black Hole
Entropy-Area relation and its corrections; the derivation of the
string uncertainty relations and generalizations ; ; the relation between the
four dimensional gravitational conformal anomaly and the fine structure
constant; the role of Noncommutative Geometry, Negative Probabilities and
Cantorian-Fractal spacetime in the Young's two-slit experiment. We then
generalize the recent construction of the Quenched-Minisuperspace bosonic
-brane propagator in dimensions ( [18]) to the full
multidimensional case involving all -branes : the construction of the
Multidimensional-Particle propagator in Clifford spaces (-spaces) associated
with a nested family of -loop histories living in a target -dim
background spacetime . We show how the effective -space geometry is related
to curvature of ordinary spacetime. The motion of rigid
particles/branes is studied to explain the natural of classical
spin. The relation among -space geometry and , Finsler Geometry
and (Braided) Quantum Groups is discussed. Some final remarks about the
Riemannian long distance limit of -space geometry are made.Comment: Tex file, 21 page
Paging and Registration in Cellular Networks: Jointly Optimal Policies and an Iterative Algorithm
This paper explores optimization of paging and registration policies in
cellular networks. Motion is modeled as a discrete-time Markov process, and
minimization of the discounted, infinite-horizon average cost is addressed. The
structure of jointly optimal paging and registration policies is investigated
through the use of dynamic programming for partially observed Markov processes.
It is shown that there exist policies with a certain simple form that are
jointly optimal, though the dynamic programming approach does not directly
provide an efficient method to find the policies.
An iterative algorithm for policies with the simple form is proposed and
investigated. The algorithm alternates between paging policy optimization and
registration policy optimization. It finds a pair of individually optimal
policies, but an example is given showing that the policies need not be jointly
optimal. Majorization theory and Riesz's rearrangement inequality are used to
show that jointly optimal paging and registration policies are given for
symmetric or Gaussian random walk models by the nearest-location-first paging
policy and distance threshold registration policies.Comment: 13 pages, submitted to IEEE Trans. Information Theor
Quantum field theory as eigenvalue problem
A mathematically well-defined, manifestly covariant theory of classical and
quantum field is given, based on Euclidean Poisson algebras and a
generalization of the Ehrenfest equation, which implies the stationary action
principle. The theory opens a constructive spectral approach to finding
physical states both in relativistic quantum field theories and for flexible
phenomenological few-particle approximations.
In particular, we obtain a Lorentz-covariant phenomenological multiparticle
quantum dynamics for electromagnetic and gravitational interaction which
provides a representation of the Poincare group without negative energy states.
The dynamics reduces in the nonrelativistic limit to the traditional
Hamiltonian multiparticle description with standard Newton and Coulomb forces.
The key that allows us to overcome the traditional problems in canonical
quantization is the fact that we use the algebra of linear operators on a space
of wave functions slightly bigger than traditional Fock spaces.Comment: 32 page
Spacetime Reduction of Large N Flavor Models: A Fundamental Theory of Emergent Local Geometry?
We introduce a novel spacetime reduction procedure for the fields of a
supergravity-Yang-Mills theory in generic curved spacetime background, and with
large N flavor group, to linearized forms on an infinitesimal patch of local
tangent space at a point in the spacetime manifold. Our new prescription for
spacetime reduction preserves all of the local symmetries of the continuum
field theory Lagrangian in the resulting zero-dimensional matrix Lagrangian,
thereby obviating difficulties encountered in previous matrix proposals for
emergent spacetime in recovering the full nonlinear symmetries of Einstein
gravity. We conjecture that the zero-dimensional matrix model obtained by this
prescription for spacetime reduction of the circle-compactified type
I-I'-mIIA-IIB-heterotic supergravity-Yang-Mills theory with sixteen
supercharges and large N flavor group, and inclusive of the full spectrum of
Dpbrane charges, offers a potentially complete framework for nonperturbative
string/M theory. We explain the relationship of our conjecture for a
fundamental theory of emergent local spacetime geometry to recent
investigations of the hidden symmetry algebra of M theory, stressing insights
that are to be gained from the algebraic perspective. We conclude with a list
of open questions and directions for future work.Comment: 30pgs. v6: Ref [4] added, some terminology corrected in Intro,
sections 5,6. Footnote 2 clarifies the relation to hep-th/0201129v1.
Acknowledgments adde
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