10,964 research outputs found
Initial states and decoherence of histories
We study decoherence properties of arbitrarily long histories constructed
from a fixed projective partition of a finite dimensional Hilbert space. We
show that decoherence of such histories for all initial states that are
naturally induced by the projective partition implies decoherence for arbitrary
initial states. In addition we generalize the simple necessary decoherence
condition [Scherer et al., Phys. Lett. A (2004)] for such histories to the case
of arbitrary coarse-graining.Comment: 10 page
Causality in Time-Neutral Cosmologies
Gell-Mann and Hartle (GMH) have recently considered time-neutral cosmological
models in which the initial and final conditions are independently specified,
and several authors have investigated experimental tests of such models.
We point out here that GMH time-neutral models can allow superluminal
signalling, in the sense that it can be possible for observers in those
cosmologies, by detecting and exploiting regularities in the final state, to
construct devices which send and receive signals between space-like separated
points. In suitable cosmologies, any single superluminal message can be
transmitted with probability arbitrarily close to one by the use of redundant
signals. However, the outcome probabilities of quantum measurements generally
depend on precisely which past {\it and future} measurements take place. As the
transmission of any signal relies on quantum measurements, its transmission
probability is similarly context-dependent. As a result, the standard
superluminal signalling paradoxes do not apply. Despite their unusual features,
the models are internally consistent.
These results illustrate an interesting conceptual point. The standard view
of Minkowski causality is not an absolutely indispensable part of the
mathematical formalism of relativistic quantum theory. It is contingent on the
empirical observation that naturally occurring ensembles can be naturally
pre-selected but not post-selected.Comment: 5 pages, RevTeX. Published version -- minor typos correcte
Psychological effects of substantial and appetizing menus for submarine personnel
Psychological effects of food service on submarine personne
Current Algebra: Quarks and What Else?
After receiving many requests for reprints of this article, describing the
original ideas on the quark gluon gauge theory, which we later named QCD, we
decided to place the article in the e-Print archive
The Index of Dirac Operators on Incomplete Edge Spaces
We derive a formula for the index of a Dirac operator on a compact,
even-dimensional incomplete edge space satisfying a "geometric Witt condition".
We accomplish this by cutting off to a smooth manifold with boundary, applying
the Atiyah-Patodi-Singer index theorem, and taking a limit. We deduce
corollaries related to the existence of positive scalar curvature metrics on
incomplete edge spaces
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