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1.
Einsteins unpublished 1927 deterministic trajectory interpretation of quantum mechanics is critically examined, in particular with regard to the reason given by Einstein for rejecting his theory. It is shown that the aspect Einstein found objectionable—the mutual dependence of the motions of particles when the (many-body) wavefunction factorises—is a generic attribute of his theory but that this feature may be removed by modifying Einsteins method in either of two ways: using a suggestion of Grommer or, in a physically important special case, using a simpler technique. It is emphasized though that the presence or absence of the interdependence property does not determine the acceptability of a trajectory theory. It is shown that there are other grounds for rejecting Einsteins theory (and the two modified theories), to do with its domain of applicability and compatibility with empirical predictions. That Einsteins reason for rejection is not a priori grounds for discarding a trajectory theory is demonstrated by reference to an alternative deterministic trajectory theory that displays similar particle interdependence yet is compatible with quantum predictions.PACS: 03.65.Bz.Essay written in memory of J.T. Cushing. 相似文献
2.
Robert H. Swendsen 《Journal of statistical physics》2004,117(5-6):1063-1070
In a recent paper, Nagle criticized the new definition of entropy that I had proposed in an earlier work. In the examples for which Nagle claims my definition fails, he took a formula that I had derived for one set of experiments and used it to represent my definition for other experiments. However, the formulas obtained from my definition depend on the specific experimental observables. If my definition is correctly applied to Nagles experiments, no contradictions remain. 相似文献
3.
Raju Venugopalan 《Pramana》2000,55(1-2):73-84
We discuss some recent developments in small x physics. 相似文献
4.
5.
S. Moradi 《JETP Letters》2009,89(1):50-52
We study Bell’s inequality using the Bell states constructed from four component Dirac spinors. Spin operator is related to
the Pauli-Lubanski pseudo vector which is relativistic invariant operator. By using Lorentz transformation, in both Bell states
and spin operator, we obtain an observer independent Bell’s inequality, so that it is maximally violated as long as it is
violated maximally in the rest frame.
The article is published in the original. 相似文献
6.
I review some of the recent experimental results on the so-called XYZ mesons. 相似文献
7.
8.
C. Tresser 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2010,58(3):385-396
We prove versions of the Bell and the GHZ theorems that do not assume locality but only the effect after cause principle
(EACP) according to which for any Lorentz observer the value of an observable cannot change because of an event that happens
after
the observable is measured. We show that the EACP is strictly weaker than locality. As a consequence of our results, locality
cannot
be considered as the common cause of the contradictions obtained in all versions of Bell’s theory. All versions of Bell’s
theorem
assume weak realism according to which the value of an observable is well defined whenever the measurement could be made and
some
measurement is made. As a consequence of our results, weak realism becomes the only hypothesis common to the contradictions
obtained
in all versions of Bell’s theory. Usually, one avoids these contradictions by assuming non-locality; this would not help in
our case
since we do not assume locality. This work indicates that it is weak realism, not locality, that needs to be negated to avoid
contradictions in microscopic physics, at least if one refuses as false the de Broglie-Bohm hidden variable theory because
of its
essential violation of Lorentz invariance. 相似文献
9.
Ricardo Espíndola Alberto Güijosa Alberto Landetta Juan F. Pedraza 《The European Physical Journal C - Particles and Fields》2018,78(1):75
In the context of the AdS/CFT correspondence, we study bulk reconstruction of the Poincaré wedge of AdS\(_3\) via hole-ography, i.e., in terms of differential entropy of the dual CFT\(_2\). Previous work had considered the reconstruction of closed or open spacelike curves in global AdS, and of infinitely extended spacelike curves in Poincaré AdS that are subject to a periodicity condition at infinity. Working first at constant time, we find that a closed curve in Poincaré is described in the CFT by a family of intervals that covers the spatial axis at least twice. We also show how to reconstruct open curves, points and distances, and obtain a CFT action whose extremization leads to bulk points. We then generalize all of these results to the case of curves that vary in time, and discover that generic curves have segments that cannot be reconstructed using the standard hole-ographic construction. This happens because, for the nonreconstructible segments, the tangent geodesics fail to be fully contained within the Poincaré wedge. We show that a previously discovered variant of the hole-ographic method allows us to overcome this challenge, by reorienting the geodesics touching the bulk curve to ensure that they all remain within the wedge. Our conclusion is that all spacelike curves in Poincaré AdS can be completely reconstructed with CFT data, and each curve has in fact an infinite number of representations within the CFT. 相似文献
10.
Ed Seidewitz 《Foundations of Physics》2017,47(3):355-374
Under the normal assumptions of quantum field theory, Haag’s theorem states that any field unitarily equivalent to a free field must itself be a free field. Unfortunately, the derivation of the Dyson series perturbation expansion relies on the use of the interaction picture, in which the interacting field is unitarily equivalent to the free field but must still account for interactions. Thus, the traditional perturbative derivation of the scattering matrix in quantum field theory is mathematically ill defined. Nevertheless, perturbative quantum field theory is currently the only practical approach for addressing scattering for realistic interactions, and it has been spectacularly successful in making empirical predictions. This paper explains this success by showing that Haag’s Theorem can be avoided when quantum field theory is formulated using an invariant, fifth path parameter in addition to the usual four position parameters, such that the Dyson perturbation expansion for the scattering matrix can still be reproduced. As a result, the parameterized formalism provides a consistent foundation for the interpretation of quantum field theory as used in practice and, perhaps, for better dealing with other mathematical issues. 相似文献
11.
Nobuhiro Honda 《Communications in Mathematical Physics》2013,322(1):127-148
In this article we investigate deformations of a scalar-flat Kähler metric on the total space of complex line bundles over ${\mathbb{CP}^1}$ constructed by C. LeBrun. In particular, we find that the metric is included in a one-dimensional family of such metrics on the four-manifold, where the complex structure in the deformation is not the standard one. 相似文献
12.
The foundations of Wesson’s induced matter theory are analyzed. It is shown that the empty—without matter—5-dimensional bulk
must be regarded as a Weylian space rather than as a Riemannian one. Revising the geometry of the bulk, we have assumed that
a Weylian connection vector and a gauge function exist in addition to the metric tensor. The framework of a Weyl–Dirac version
of Wesson’s theory is elaborated and discussed. In the 4-dimensional hypersurface (brane), one obtains equations describing
both fields, the gravitational and the electromagnetic. The result is a geometrically based unified theory of gravitation
and electromagnetism with mass and current induced by the bulk. In special cases on obtains on the brane the equations of
Einstein–Maxwell, or these of the original induced matter theory. 相似文献
13.
14.
JETP Letters - We consider the statistical properties of a non-falling trajectory in the Whitney problem of an inverted pendulum excited by an external force. In the case where the external force... 相似文献
15.
It is known that for nonlinear electrodynamics the First Law of Black Hole Mechanics holds, however the Smarrs formula for the total mass does not. In this contribution we discuss the point and determine the corresponding expressions for the Bardeen black hole solution that represents a nonlinear magnetic monopole. The same is done for the regular black hole solution derived by Ayón–Beato and García [1], showing that in the case that variations of the electric charge are involved, the Smarrs formula is no longer valid. 相似文献
16.
In this paper we discuss the coupled dynamics, following from a suitable Lagrangian, of a harmonic or wave map ? and Einstein’s gravitation described by a metric g. The main results concern energy conditions for wave maps, harmonic maps from warped product manifolds, and wave maps from wave-like Lorentzian manifolds. 相似文献
17.
Journal of Statistical Physics - We characterize the non equilibrium stationary states in two classes of systems where phase transitions are present. We prove that the interface in the limit is a... 相似文献
18.
Heavy meson spectroscopy above open flavor thresholds has become a challenge both from the experimental and theoretical points of view. Experimentally, several signals have been interpreted as meson resonances with unusual properties; theoretically, such signals may be identified with meson-meson molecules or compact multiquark structures. We analyze the influence of thresholds on heavy meson spectroscopy comparing different flavor sectors and quantum numbers. The validity of a quark-model picture above open-flavor thresholds would severely restrict the number of channels that may lodge multiquark structures as meson-meson molecules. 相似文献
19.
We consider the minor process of (Hermitian) matrix diffusions with constant diagonal drifts. At any given time, this process is determinantal and we provide an explicit expression for its correlation kernel. This is a measure on the Gelfand–Tsetlin pattern that also appears in a generalization of Warren’s process (Electron. J. Probab. 12:573–590, 2007), in which Brownian motions have level-dependent drifts. Finally, we show that this process arises in a diffusion scaling limit from an interacting particle system in the anisotropic KPZ class in 2+1 dimensions introduced in Borodin and Ferrari (Commun. Math. Phys., 2008). Our results generalize the known results for the zero drift situation. 相似文献
20.
H. Sazdjian 《Physics of Particles and Nuclei》2014,45(4):782-787
Properties of gauge invariant two-point quark Green’s functions, defined with polygonal Wilson lines, are studied. The Green’s functions can be classified according to the number of straight line segments their polygonal lines contain. Functional relations are established between the Green’s functions with different numbers of segments on the polygonal lines. An integrodifferential equation is obtained for the Green’s function with one straight line segment, in which the kernels are represented by a series of Wilson loop vacuum averages along polygonal contours with an increasing number of segments and functional derivatives on them. The equation is exactly solved in the case of two-dimensional QCD in the large-N c limit. The spectral properties of the Green’s function are displayed. 相似文献