The Adler-Bell-Jackiw (ABJ) anomaly of a 3 + 1 dimensional QED is calculated in the presence of a strong magnetic field. It is shown that in the regime with the lowest Landau level (LLL) dominance a dimensional reduction from D = 4 to D = 2 dimensions occurs in the longitudinal sector of the low energy effective field theory. In the chiral limit, the resulting anomaly is therefore comparable wi...

The Grishukhin inequality is a facet of the cut polytope CUT7 of the complete graph K7, for which no natural generalization to a family of inequalities has previously been found. On the other hand, the Imm22 Bell inequalities of quantum information theory, found by Collins and Gisin, can be seen as valid inequalities of the cut polytope CUT¤(K1,m,m) of the complete tripartite graph K1,m,m. They...

We formally prove the existence of an enduring incongruence pervading a widespread interpretation Bell inequality and explain how to rationally avoid it with natural assumption justified by explicit reference mathematical property Bell's probabilistic model. Although amendment does not alter relevance theorem regarding local realism, brings back from realm philosophical discussions about counte...

One diagnosis of Bell’s theorem is that its premise of Outcome Independence is unreasonably strong, as it postulates one common screener system that purports to explain all the correlations involved. This poses a challenge of constructing a model for quantum correlations that is local, non-conspiratorial, and has many separate screener systems rather than one common screener system. In particul...

In the present paper we study the following problem: how to construct a coherent orthoalgebra which has only a finite number of elements, but at the same time does not admit a bivaluation (i.e. a morphism with a codomain being an orthoalgebra with just two elements). This problem is important in the perspective of Bell-Kochen-Specker theory, since one can associate such an orthoalgebra to every...

A magical correlation. Take two subatomic particles. They have a spin, that rotate on their own axis, just like the spinners or planets. Imagine that you have a system with two particles very close to that rotate in opposite directions: it commonly describes this situation by saying that the spin of a particle is up (up) and that of the other is down (down). By measuring the spins of the partic...

We address nonlocality of a class of fully inseparable three-mode Gaussian states generated either by bilinear three-mode Hamiltonians or by a sequence of bilinear two-mode Hamiltonians. Two different tests revealing strong nonlocality are considered, in which the dichotomic Bell operator is represented by displaced parity and by pseudospin operator respectively. Three-mode states are also cons...

Experimental tests of Bell inequalities ought to take into account all detection events. If the latter are postselected, and only some of these events are included in the statistical analysis, a Bell inequality may be violated, even by purely classical correlations. The paradoxical properties of Werner states, recently pointed out by Popescu, can be explained as the result of a postselection of...

The paper presents an algorithm for automatic transcription of recordings of bell-playing clocks. Bell-playing clocks are clocks containing a hidden bell-playing mechanism that is periodically activated to play a melody. Clocks from the eighteenth century give us unique insight into the musical taste of their owners, so we are interested in studying their repertoire and performances thus the ne...

Bell’s theorem [1] states that one cannot in general reproduce the results of quantum theory with a classical, deterministic local model. Hardy’s argument of “nonlocality without inequalities” [2] is considered “the best version of Bell’s theorem” [3]. Curiously enough, while in the original proof of Bell’s theorem using inequalities the maximum discrepancy with local models occurs for maximall...