The Einstein, Podolsky, and Rosen （EPR） entanglement problem for spin ~ particles is discussed for last moment arbitrary changes in the angles between the axes of the measurements of the spin components within the ...The Einstein, Podolsky, and Rosen （EPR） entanglement problem for spin ~ particles is discussed for last moment arbitrary changes in the angles between the axes of the measurements of the spin components within the ＂metabrain＂ dream analogy paradigm for the interpretation of quantum theory. No ＂spooky＂ action at a distance is required. The ＂metabrain＂ produces a plethora of correlated streams of consciousness which are the totality of observable reality. The mental world and the observable physical world are the same. As in a dream, there are no independently existing observable objects; for an object to exist it must be observed. In this paradigm there is mutual interaction between the streams of consciousness and the ＂metabrain.＂ The non-observable ＂metabrain＂ is the source of the non-local hidden variables which produce our observations. The currents of this ＂metabrain＂ are the quantum probability amplitudes and the firing of the ＂synapses＂ result in our conscious observations. The Born probability rule for quantum calculations is derived within this paradigm and helps to resolve the EPR paradox.展开更多
Superresolution is an image processing technique that estimates an original high-resolutionimage from its low-resolution and degraded observations.In superresolution tasks,there have beenproblems regarding the computa...Superresolution is an image processing technique that estimates an original high-resolutionimage from its low-resolution and degraded observations.In superresolution tasks,there have beenproblems regarding the computational cost for the estimation of high-dimensional variables.Theseproblems are now being overcome by the recent development of fast computers and the developmentof powerful computational techniques such as variational Bayesian approximation.This paper reviewsa Bayesian treatment of the superresolution problem and presents its extensions based on hierarchicalmodeling by employing hidden variables.展开更多
As well known, all higher dimensional Kerr-NUT-Ads metrics with arbitrary rotation and NUT parameters in an asymptotically Ad S spacetime have a new hidden symmetry. In this paper, we show that in the near horizon,the...As well known, all higher dimensional Kerr-NUT-Ads metrics with arbitrary rotation and NUT parameters in an asymptotically Ad S spacetime have a new hidden symmetry. In this paper, we show that in the near horizon,the isometry group is enhanced to include the dilatation and special conformal transformation, and find the conformal transformation contains the cosmological constant. It is demonstrated that for near horizon extremal Kerr-NUT-Ads(NHEK-N-Ad S) only one rank-2 Killing tensor decomposes into a quadratic combination of the Killing vectors in terms of conformal group, while the others are functionally independent.展开更多
文摘The Einstein, Podolsky, and Rosen （EPR） entanglement problem for spin ~ particles is discussed for last moment arbitrary changes in the angles between the axes of the measurements of the spin components within the ＂metabrain＂ dream analogy paradigm for the interpretation of quantum theory. No ＂spooky＂ action at a distance is required. The ＂metabrain＂ produces a plethora of correlated streams of consciousness which are the totality of observable reality. The mental world and the observable physical world are the same. As in a dream, there are no independently existing observable objects; for an object to exist it must be observed. In this paradigm there is mutual interaction between the streams of consciousness and the ＂metabrain.＂ The non-observable ＂metabrain＂ is the source of the non-local hidden variables which produce our observations. The currents of this ＂metabrain＂ are the quantum probability amplitudes and the firing of the ＂synapses＂ result in our conscious observations. The Born probability rule for quantum calculations is derived within this paradigm and helps to resolve the EPR paradox.
文摘Superresolution is an image processing technique that estimates an original high-resolutionimage from its low-resolution and degraded observations.In superresolution tasks,there have beenproblems regarding the computational cost for the estimation of high-dimensional variables.Theseproblems are now being overcome by the recent development of fast computers and the developmentof powerful computational techniques such as variational Bayesian approximation.This paper reviewsa Bayesian treatment of the superresolution problem and presents its extensions based on hierarchicalmodeling by employing hidden variables.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11275099 and 11435006
文摘As well known, all higher dimensional Kerr-NUT-Ads metrics with arbitrary rotation and NUT parameters in an asymptotically Ad S spacetime have a new hidden symmetry. In this paper, we show that in the near horizon,the isometry group is enhanced to include the dilatation and special conformal transformation, and find the conformal transformation contains the cosmological constant. It is demonstrated that for near horizon extremal Kerr-NUT-Ads(NHEK-N-Ad S) only one rank-2 Killing tensor decomposes into a quadratic combination of the Killing vectors in terms of conformal group, while the others are functionally independent.
