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The paper is a brief informal introduction to C*-algebraic foundations of causal contextual subquantum theories. In particular, it is explained how the contextuality property (which is a necessary consistency condition of all causal…

Quantum Physics · Physics 2007-05-23 Micho Durdevich

We distinguish two sub-types of each of the two causality principles formulated in connection with the Common Cause Principle in [Hen05] and raise and investigate the problem of logical relations among the resulting four causality…

Quantum Physics · Physics 2012-04-20 Miklós Rédei , Iñaki San Pedro

We introduce and study a general notion of spatial localization on spacelike smooth Cauchy surfaces of quantum systems in Minkowski spacetime. The notion is constructed in terms of a coherent family of normalized POVMs, one for each said…

Mathematical Physics · Physics 2024-05-30 Carmine De Rosa , Valter Moretti

This article presents an analysis of the extent to which local causal models or local realistic models of quantum theory (QT), including quantum field theory (QFT), are theoretically possible and practically feasible in light of the present…

Quantum Physics · Physics 2016-04-15 Hans H. Diel

The common cause principle for two random variables $A$ and $B$ is examined in the case of causal insufficiency, when their common cause $C$ is known to exist, but only the joint probability of $A$ and $B$ is observed. As a result, $C$…

Data Analysis, Statistics and Probability · Physics 2024-07-26 A. Hovhannisyan , A. E. Allahverdyan

General definitions for causal structures on manifolds of dimension d+1>2 are presented for the topological category and for any differentiable one. Locally, these are given as cone structures via local (pointwise) homeomorphic or…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Martin Rainer

The action reaction principle is violated in the standard formulation of Quantum Mechanics, so that its phase space is incomplete. Moreover, projection of state of a quantum system under indirect measurement, when there are alternative…

Quantum Physics · Physics 2016-05-04 Carlos Lopez

Quantum theory in a global space-time gives rise to non-local correlations, which cannot be explained causally in a satisfactory way; this motivates the study of theories with reduced global assumptions. Oreshkov, Costa, and Brukner (2012)…

Quantum Physics · Physics 2014-10-10 Ämin Baumeler , Adrien Feix , Stefan Wolf

Brunetti, Fredenhagen and Verch (BFV) have shown how the notion of local covariance for quantum field theories can be formulated in terms of category theory: a theory being described as a functor from a category of spacetimes to a category…

Mathematical Physics · Physics 2011-06-02 Christopher J. Fewster

We introduce the coordination principle, which states that perfect coordination, in the form of agreement on a uniformly random output, among N parties is possible only if they share a common cause. This principle is purely causal and can…

It is argued that the formal rules of correspondence between local observation procedures and observables do not exhaust the entire physical content of generally covariant quantum field theory. This result is obtained by expressing the…

High Energy Physics - Theory · Physics 2009-10-31 Hadi Salehi

Causal set theory is an intrinsically nonlocal approach to quantum gravity, inheriting its nonlocality from Lorentzian nonlocality. This nonlocality causes problems in defining differential operators -- such as the d'Alembert operator, a…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Marián Boguñá , Dmitri Krioukov

In this paper a nonlocal generalization of field quantization is suggested. This quantization principle presupposes the assumption that the commutator between a field operator an the operator of the canonical conjugated variable referring…

General Physics · Physics 2016-09-02 Martin Kober

Quantum correlations and other phenomena characteristic to a quantum world can be understood as simply consequences of a principle derived from the postulates of Quantum Mechanics. This explanatory principle states that these phenomena…

Quantum Physics · Physics 2014-07-01 Ovidiu-Cristinel Stoica

In his late piece 'La nouvelle cuisine' (Bell 1990), John Bell describes the steps from an intuitive, informal principle of locality to a mathematical rule called Factorizability. This rule stipulates that when possible past causes are held…

Quantum Physics · Physics 2026-02-20 Huw Price

We argue that Anton Zeilinger's "foundational conceptual principle" for quantum mechanics according to which an elementary system carries one bit of information is an idealistic principle, which should be replaced by a realistic principle…

Quantum Physics · Physics 2022-03-29 Frederique Laurent , Francois-Igor Pris

Relativistic microcausality is the statement that local field operators commute outside the light-cone. This condition is known to break down in low-energy effective theories, such as $P(X)$ models with a derivative interaction term of the…

High Energy Physics - Theory · Physics 2025-10-07 Giordano Cintia , Federico Piazza , Samuel Ramos

We provide a detailed analysis of the classical and quantized theory of a multiplet of inhomogeneous Klein-Gordon fields, which couple to the spacetime metric and also to an external source term; thus the solutions form an affine space.…

Mathematical Physics · Physics 2015-08-24 Christopher J. Fewster , Alexander Schenkel

We present a new viewpoint on the construction of pointlike local fields in integrable models of quantum field theory. As usual, we define these local observables by their form factors; but rather than exhibiting their $n$-point functions…

Mathematical Physics · Physics 2020-01-03 Henning Bostelmann , Daniela Cadamuro

It is argued that while quantum mechanics contains nonlocal or entangled states, the instantaneous or nonlocal influences sometimes thought to be present due to violations of Bell inequalities in fact arise from mistaken attempts to apply…

Quantum Physics · Physics 2012-02-22 Robert B. Griffiths