2,932 research outputs found
Synchronization of extended systems from internal coherence
A condition for the synchronizability of a pair of PDE systems, coupled
through a finite set of variables, is commonly the existence of internal
synchronization or internal coherence in each system separately. The condition
was previously illustrated in a forced-dissipative system, and is here extended
to Hamiltonian systems, using an example from particle physics. Full
synchronization is precluded by Liouville's theorem. A form of synchronization
weaker than "measure synchronization" is manifest as the positional coincidence
of coherent oscillations ("breathers" or "oscillons") in a pair of coupled
scalar field models in an expanding universe with a nonlinear potential, and
does not occur with a variant of the model that does not exhibit oscillons.Comment: version accepted for publication in PRE (paragraph beginning at the
bottom of pg. 5 has been rewritten to suggest unifying principle for
synchronizability, applying to both forced-dissipative and Hamiltonian
systems; other minor changes
Synchronicity From Synchronized Chaos
The synchronization of loosely coupled chaotic oscillators, a phenomenon
investigated intensively for the last two decades, may realize the
philosophical notion of synchronicity. Effectively unpredictable chaotic
systems, coupled through only a few variables, commonly exhibit a predictable
relationship that can be highly intermittent. We argue that the phenomenon
closely resembles the notion of meaningful synchronicity put forward by Jung
and Pauli if one identifies "meaningfulness" with internal synchronization,
since the latter seems necessary for synchronizability with an external system.
Jungian synchronization of mind and matter is realized if mind is analogized to
a computer model, synchronizing with a sporadically observed system as in
meteorological data assimilation. Internal synchronization provides a recipe
for combining different models of the same objective process, a configuration
that may also describe the functioning of conscious brains. In contrast to
Pauli's view, recent developments suggest a materialist picture of
semi-autonomous mind, existing alongside the observed world, with both
exhibiting a synchronistic order. Basic physical synchronicity is manifest in
the non-local quantum connections implied by Bell's theorem. The quantum world
resides on a generalized synchronization "manifold", a view that provides a
bridge between nonlocal realist interpretations and local realist
interpretations that constrain observer choice .Comment: 1) clarification regarding the connection with philosophical
synchronicity in Section 2 and in the concluding section 2) reference to
Maldacena-Susskind "ER=EPR" relation in discussion of role of wormholes in
entanglement and nonlocality 3) length reduction and stylistic changes
throughou
The 3-dimensional oscillon equation
On a bounded three-dimensional smooth domain, we consider the generalized
oscillon equation with Dirichlet boundary conditions, with time-dependent
damping and time-dependent squared speed of propagation. Under structural
assumptions on the damping and the speed of propagation, which include the
relevant physical case of reheating phase of inflation, we establish the
existence of a pullback global attractor of optimal regularity, and
finite-dimensionality of the kernel sections
Time-Dependent Attractor for the Oscillon Equation
We investigate the asymptotic behavior of the nonautonomous evolution problem
generated by the Klein-Gordon equation in an expanding background, in one space
dimension with periodic boundary conditions, with a nonlinear potential of
arbitrary polynomial growth. After constructing a suitable dynamical framework
to deal with the explicit time dependence of the energy of the solution, we
establish the existence of a regular, time-dependent global attractor. The
sections of the attractor at given times have finite fractal dimension.Comment: to appear in Discrete and Continuous Dynamical System
Orientations of linear stone arrangements in New South Wales
We test the hypothesis that Aboriginal linear stone arrangements in New South
Wales (NSW) are oriented to cardinal directions. We accomplish this by
measuring the azimuths of stone arrangements described in site cards from the
NSW Aboriginal Heritage Information Management System. We then survey a subset
of these sites to test the accuracy of information recorded on the site cards.
We find a preference recorded in the site cards for cardinal orientations among
azimuths. The field surveys show that the site cards are reasonably accurate,
but the surveyors probably did not correct for magnetic declinations. Using
Monte Carlo statistics, we show that these preferred orientations did not occur
by chance and that Aboriginal people deliberately aligned these arrangements to
the approximate cardinal directions. We briefly explore possible reasons for
these preferred orientations and highlight the need for future work.Comment: Australian Archaeology, Volume 75 (December 2012), accepte
Constraints on the Velocity and Spatial Distribution of Helium-like Ions in the Wind of SMC X-1 from Observations with XMM-Newton/RGS
We present here X-ray spectra of the HMXB SMC X-1 obtained in an observation
with the XMM observatory beginning before eclipse and ending near the end of
eclipse. With the Reflection Grating Spectrometers (RGS) on board XMM, we
observe emission lines from hydrogen-like and helium-like ions of nitrogen,
oxygen, neon, magnesium, and silicon. Though the resolution of the RGS is
sufficient to resolve the helium-like n=2->1 emission into three line
components, only one of these components, the intercombination line, is
detected in our data. The lack of flux in the forbidden lines of the
helium-like triplets is explained by pumping by ultraviolet photons from the B0
star and, from this, we set an upper limit on the distance of the emitting ions
from the star. The lack of observable flux in the resonance lines of the
helium-like triplets indicate a lack of enhancement due to resonance line
scattering and, from this, we derive a new observational constraint on the
distribution of the wind in SMC X-1 in velocity and coordinate space. We find
that the solid angle subtended by the volume containing the helium-like ions at
the neutron star multiplied by the velocity dispersion of the helium-like ions
must be less than 4pi steradians km/s. This constraint will be satisfied if the
helium-like ions are located primarily in clumps distributed throughout the
wind or in a thin layer along the surface of the B0 star.Comment: 22 pages, 17 figures, ApJ accepted, discussion of relevant other work
adde
Searching for Colorons at the Large Hadron Collider
We investigate the prospects for the discovery of massive color-octet vector
bosons at the CERN Large Hadron Collider with TeV. A
phenomenological Lagrangian is adopted to evaluate the cross section of a pair
of colored vector bosons (colorons, ) decaying into four colored
scalar resonances (hyper-pions, ), which then decay into eight
gluons. We include the dominant physics background from the production of
, and , and determine the masses of and
where discovery is possible. For example, we find that a
5 signal can be established for M_{\tilde{\pi}} \alt 495 GeV
(M_{\tilde{\rho}} \alt 1650 GeV). More generally we give the reach of this
process for a selection of possible cuts and integrated luminosities.Comment: REVTEX, 20 pages, 16 figure
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