4,545 research outputs found
Hidden variable interpretation of spontaneous localization theory
The spontaneous localization theory of Ghirardi, Rimini, and Weber (GRW) is a
theory in which wavepacket reduction is treated as a genuine physical process.
Here it is shown that the mathematical formalism of GRW can be given an
interpretation in terms of an evolving distribution of particles on
configuration space similar to Bohmian mechanics (BM). The GRW wavefunction
acts as a pilot wave for the set of particles. In addition, a continuous stream
of noisy information concerning the precise whereabouts of the particles must
be specified. Nonlinear filtering techniques are used to determine the dynamics
of the distribution of particles conditional on this noisy information and
consistency with the GRW wavefunction dynamics is demonstrated. Viewing this
development as a hybrid BM-GRW theory, it is argued that, besides helping to
clarify the relationship between the GRW theory and BM, its merits make it
worth considering in its own right.Comment: 13 page
Geometrical view of quantum entanglement
Although a precise description of microscopic physical problems requires a
full quantum mechanical treatment, physical quantities are generally discussed
in terms of classical variables. One exception is quantum entanglement which
apparently has no classical counterpart. We demonstrate here how quantum
entanglement may be within the de Broglie-Bohm interpretation of quantum
mechanics visualized in geometrical terms, giving new insight into this
mysterious phenomenon and a language to describe it. On the basis of our
analysis of the dynamics of a pair of qubits, quantum entanglement is linked to
concurrent motion of angular momenta in the Bohmian space of hidden variables
and to the average angle between these momenta
Signal-Locality and Subquantum Information in Deterministic Hidden-Variables Theories
It is proven that any deterministic hidden-variables theory, that reproduces quantum theory for a 'quantum equilibrium' distribution of hidden variables, must predict the existence of instantaneous signals at the statistical level for hypothetical 'nonequilibrium ensembles'. This 'signal-locality theorem' generalises yet another feature of the pilot-wave theory of de Broglie and Bohm, for which it is already known that signal-locality is true only in equilibrium. Assuming certain symmetries, lower bounds are derived on the 'degree of nonlocality' of the singlet state, defined as the (equilibrium) fraction of outcomes at one wing of an EPR-experiment that change in response to a shift in the distant angular setting. It is shown by explicit calculation that these bounds are satisfied by pilot-wave theory. The degree of nonlocality is interpreted as the average number of bits of 'subquantum information' transmitted superluminally, for an equilibrium ensemble. It is proposed that this quantity might provide a novel measure of the entanglement of a quantum state, and that the field of quantum information would benefit from a more explicit hidden-variables approach. It is argued that the signal-locality theorem supports the hypothesis, made elsewhere, that in the remote past the universe relaxed to a state of statistical equilibrium at the hidden-variable level, a state in which nonlocality happens to be masked by quantum noise
Existential Contextuality and the Models of Meyer, Kent and Clifton
It is shown that the models recently proposed by Meyer, Kent and Clifton
(MKC) exhibit a novel kind of contextuality, which we term existential
contextuality. In this phenomenon it is not simply the pre-existing value but
the actual existence of an observable which is context dependent. This result
confirms the point made elsewhere, that the MKC models do not, as the authors
claim, ``nullify'' the Kochen-Specker theorem. It may also be of some
independent interest.Comment: Revtex, 7 pages, 1 figure. Replaced with published versio
Metastatic Uterine Leiomyosarcoma in the Upper Buccal Gingiva Misdiagnosed as an Epulis
Uterine leiomyosarcoma (LMS) is a rare tumor constituting 1% of all uterine malignancies. This sarcoma demonstrates an aggressive growth pattern with an high rate of recurrence with hematologic dissemination; the most common sites are lung, liver, and peritoneal cavity, head and neck district being rarely interested. Only other four cases of metastasis in the oral cavity have been previously described. The treatment of choice is surgery and the use of adjuvant chemotherapy and radiation has limited impact on clinical outcome. In case of metastases, surgical excision can be performed considering extent of disease, number and type of distant lesions, disease free interval from the initial diagnosis to the time of metastases, and expected life span. We illustrate a case of uterine LMS metastasis in the upper buccal gingiva that occurred during chemotherapy in a 63-year-old woman that underwent a total abdominal hysterectomy with bilateral salpingo-oophorectomy for a diagnosis of LMS staged as pT2bN0 and that developed lung metastases eight months after primary treatment. Surgical excision of the oral mass (previously misdiagnosed as epulis at a dental center) and contemporary reconstruction with pedicled temporalis muscle flap was performed in order to improve quality of life. Even if resection was achieved in free margins, "local" relapse was observed 5 months after surgery
Order in de Broglie - Bohm quantum mechanics
A usual assumption in the so-called {\it de Broglie - Bohm} approach to
quantum dynamics is that the quantum trajectories subject to typical `guiding'
wavefunctions turn to be quite irregular, i.e. {\it chaotic} (in the dynamical
systems' sense). In the present paper, we consider mainly cases in which the
quantum trajectories are {\it ordered}, i.e. they have zero Lyapunov
characteristic numbers. We use perturbative methods to establish the existence
of such trajectories from a theoretical point of view, while we analyze their
properties via numerical experiments. Using a 2D harmonic oscillator system, we
first establish conditions under which a trajectory can be shown to avoid close
encounters with a moving nodal point, thus avoiding the source of chaos in this
system. We then consider series expansions for trajectories both in the
interior and the exterior of the domain covered by nodal lines, probing the
domain of convergence as well as how successful the series are in comparison
with numerical computations or regular trajectories. We then examine a
H\'{e}non - Heiles system possessing regular trajectories, thus generalizing
previous results. Finally, we explore a key issue of physical interest in the
context of the de Broglie - Bohm formalism, namely the influence of order in
the so-called {\it quantum relaxation} effect. We show that the existence of
regular trajectories poses restrictions to the quantum relaxation process, and
we give examples in which the relaxation is suppressed even when we consider
initial ensembles of only chaotic trajectories, provided, however, that the
system as a whole is characterized by a certain degree of order.Comment: 25 pages, 12 figure
Response to Comment on `Undamped electrostatic plasma waves' [Phys. Plasmas 19, 092103 (2012)]
Numerical and experimental evidence is given for the occurrence of the
plateau states and concomitant corner modes proposed in \cite{valentini12}. It
is argued that these states provide a better description of reality for small
amplitude off-dispersion disturbances than the conventional
Bernstein-Greene-Kruskal or cnoidal states such as those proposed in
\cite{comment
Inflationary Cosmology as a Probe of Primordial Quantum Mechanics
We show that inflationary cosmology may be used to test the statistical
predictions of quantum theory at very short distances and at very early times.
Hidden-variables theories, such as the pilot-wave theory of de Broglie and
Bohm, allow the existence of vacuum states with non-standard field fluctuations
('quantum nonequilibrium'). We show that inflationary expansion can transfer
microscopic nonequilibrium to macroscopic scales, resulting in anomalous power
spectra for the cosmic microwave background. The conclusions depend only weakly
on the details of the de Broglie-Bohm dynamics. We discuss, in particular, the
nonequilibrium breaking of scale invariance for the primordial (scalar) power
spectrum. We also show how nonequilibrium can generate primordial perturbations
with non-random phases and inter-mode correlations (primordial
non-Gaussianity). We address the possibility of a low-power anomaly at large
angular scales, and show how it might arise from a nonequilibrium suppression
of quantum noise. Recent observations are used to set an approximate bound on
violations of quantum theory in the early universe.Comment: 44 pages. Minor changes in v
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