175 research outputs found
Theology in Public Reason and Legal Discourse: A Case for the Preferential Option for the Poor
How fast is the wave function collapse?
Using complex quantum Hamilton-Jacobi formulation, a new kind of non-linear
equations is proposed that have almost classical structure and extend the
Schroedinger equation to describe the collapse of the wave function as a
finite-time process. Experimental bounds on the collapse time are reported (of
order 0.1 ms to 0.1 ps) and its convenient dimensionless measure is introduced.
This parameter helps to identify the areas where sensitive probes of the
possible collapse dynamics can be done. Examples are experiments with
Bose-Einstein condensates, ultracold neutrons or ultrafast optics.Comment: 9 pages; v2: a shorter version to suit the 4 page limit of
Proceedings of International Conference on Mathematical Modelling in Physical
Sciences, 3-7 September 2012, Budapest, Hungary (IC-MSQUARE 2012
Approaching the Problem of Time with a Combined Semiclassical-Records-Histories Scheme
I approach the Problem of Time and other foundations of Quantum Cosmology
using a combined histories, timeless and semiclassical approach. This approach
is along the lines pursued by Halliwell. It involves the timeless probabilities
for dynamical trajectories entering regions of configuration space, which are
computed within the semiclassical regime. Moreover, the objects that Halliwell
uses in this approach commute with the Hamiltonian constraint, H. This approach
has not hitherto been considered for models that also possess nontrivial linear
constraints, Lin. This paper carries this out for some concrete relational
particle models (RPM's). If there is also commutation with Lin - the Kuchar
observables condition - the constructed objects are Dirac observables.
Moreover, this paper shows that the problem of Kuchar observables is explicitly
resolved for 1- and 2-d RPM's. Then as a first route to Halliwell's approach
for nontrivial linear constraints that is also a construction of Dirac
observables, I consider theories for which Kuchar observables are formally
known, giving the relational triangle as an example. As a second route, I apply
an indirect method that generalizes both group-averaging and Barbour's best
matching. For conceptual clarity, my study involves the simpler case of
Halliwell 2003 sharp-edged window function. I leave the elsewise-improved
softened case of Halliwell 2009 for a subsequent Paper II. Finally, I provide
comments on Halliwell's approach and how well it fares as regards the various
facets of the Problem of Time and as an implementation of QM propositions.Comment: An improved version of the text, and with various further references.
25 pages, 4 figure
Collapse models with non-white noises
We set up a general formalism for models of spontaneous wave function
collapse with dynamics represented by a stochastic differential equation driven
by general Gaussian noises, not necessarily white in time. In particular, we
show that the non-Schrodinger terms of the equation induce the collapse of the
wave function to one of the common eigenstates of the collapsing operators, and
that the collapse occurs with the correct quantum probabilities. We also
develop a perturbation expansion of the solution of the equation with respect
to the parameter which sets the strength of the collapse process; such an
approximation allows one to compute the leading order terms for the deviations
of the predictions of collapse models with respect to those of standard quantum
mechanics. This analysis shows that to leading order, the ``imaginary'' noise
trick can be used for non-white Gaussian noise.Comment: Latex, 20 pages;references added and minor revisions; published as J.
Phys. A: Math. Theor. {\bf 40} (2007) 15083-1509
Resolved Photon Processes
We review the present level of knowledge of the hadronic structure of the
photon, as revealed in interactions involving quarks and gluons ``in" the
photon. The concept of photon structure functions is introduced in the
description of deep--inelastic scattering, and existing
parametrizations of the parton densities in the photon are reviewed. We then
turn to hard \gamp\ and \gaga\ collisions, where we treat the production of
jets, heavy quarks, hard (direct) photons, \jpsi\ mesons, and lepton pairs. We
also comment on issues that go beyond perturbation theory, including recent
attempts at a comprehensive description of both hard and soft \gamp\ and \gaga\
interactions. We conclude with a list of open problems.Comment: LaTeX with equation.sty, 85 pages, 29 figures (not included). A
complete PS file of the paper, including figures, can be obtained via
anonymous ftp from
ftp://phenom.physics.wisc.edu/pub/preprints/1995/madph-95-898.ps.
Dark Matter Signals from Cascade Annihilations
A leading interpretation of the electron/positron excesses seen by PAMELA and
ATIC is dark matter annihilation in the galactic halo. Depending on the
annihilation channel, the electron/positron signal could be accompanied by a
galactic gamma ray or neutrino flux, and the non-detection of such fluxes
constrains the couplings and halo properties of dark matter. In this paper, we
study the interplay of electron data with gamma ray and neutrino constraints in
the context of cascade annihilation models, where dark matter annihilates into
light degrees of freedom which in turn decay into leptons in one or more steps.
Electron and muon cascades give a reasonable fit to the PAMELA and ATIC data.
Compared to direct annihilation, cascade annihilations can soften gamma ray
constraints from final state radiation by an order of magnitude. However, if
dark matter annihilates primarily into muons, the neutrino constraints are
robust regardless of the number of cascade decay steps. We also examine the
electron data and gamma ray/neutrino constraints on the recently proposed
"axion portal" scenario.Comment: 36 pages, 11 figures, 7 tables; references adde
Unperformed Rituals in an Unread Book
What is the significance of an unperformed ritual? And what is the meaning of an unread text? The intuitive answer, that unperformed rituals and unread texts have no meaning, is clearly wrong in the case of Leviticus. The rituals depicted in its text mean a great deal, because Jews, Samaritans and Christians continue to ritualize Leviticus as part of their scriptures. Leviticus’s status as the third book of scripture has remained virtually uncontested throughout the histories of these three religions, despite the fact that people do not observe many of its offering instructions or, among Christians, even read much of its text. It retains its place among the sacred scrolls and books reproduced by each religion. Therefore if the job of commentary is to explain the meaning of Leviticus, it cannot stop with the book’s words, much less their original referents. The meanings of Leviticus have been broadcast by the sounds of its words and the sight of the books and scrolls that contain it as much as by semantic interpretations of its contents, which have themselves been manifested in ritual and legal performances as well as in sermons and commentaries. Out of all this emerges the phenomenon of scripture, of which Leviticus is an original and integral part
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