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Related papers: Nonlocality and Bohr's Reply to EPR

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We present a new proof of the classical divergence theorem in bounded domains. Our proof is based on a nonlocal analog of the divergence theorem and a rescaling argument. Main ingredients in the proof are nonlocal versions of the divergence…

Analysis of PDEs · Mathematics 2024-03-06 Solveig Hepp , Moritz Kassmann

Non-Hermitian physics has become a fundamental framework for understanding open systems where gain and loss play essential roles, with impact across photonics, quantum science, and condensed matter. While the role of complex eigenvalues is…

Quantum Physics · Physics 2025-12-23 Kyu-Won Park , Soojoon Lee , Kabgyun Jeong

Counterfactual inference is a powerful tool, capable of solving challenging problems in high-profile sectors. To perform counterfactual inference, one requires knowledge of the underlying causal mechanisms. However, causal mechanisms cannot…

Machine Learning · Computer Science 2023-01-23 Athanasios Vlontzos , Bernhard Kainz , Ciaran M. Gilligan-Lee

Since its application to systems, emergence has been explained in terms of levels of observation. This approach has led to confusion, contradiction, incoherence and at times mysticism. When the idea of level is replaced by a framework of…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Alex J. Ryan

A classical origin for the Bohmian quantum potential, as that potential term arises in the quantum mechanical treatment of black holes and Einstein-Rosen (ER) bridges, can be based on 4th-order extensions of Einstein's equations. The…

General Relativity and Quantum Cosmology · Physics 2019-01-31 Gregory S. Duane

It has long been recognized that certain quantum correlations are incompatible with particular assumption about classical causal structure. Given a causal structure of unknown classicality, the presence of such correlations certifies the…

Quantum Physics · Physics 2020-08-19 Thomas C. Fraser , Elie Wolfe

The underlying probabilistic theory for quantum mechanics is non-Kolmogorovian. The order in which physical observables will be important if they are incompatible (non-commuting). In particular, the notion of conditioning needs to be…

Quantum Physics · Physics 2019-07-30 John E. Gough

Although quantum mechanics is a very successful theory, its foundations are still a subject of intense debate. One of the main problems is the fact that quantum mechanics is based on abstract mathematical axioms, rather than on physical…

Quantum Physics · Physics 2010-12-17 Daniel Cavalcanti , Alejo Salles , Valerio Scarani

It is a widespread belief that results like G\"odel's incompleteness theorems or the intrinsic randomness of quantum mechanics represent fundamental limitations to humanity's strive for scientific knowledge. As the argument goes, there are…

History and Philosophy of Physics · Physics 2021-08-30 Markus P. Mueller

In terms of a suitable variant of the EPR-Bohm example, we argue that the quantum mechanically predicted and experimentally verified violation of a Bell-type path-spin noncontextual realist inequality for an `intraparticle' path-spin…

Quantum Physics · Physics 2013-01-22 Dipankar Home , Alok Kumar Pan

It is expected that, under mild conditions, local Langlands correspondence preserves depths of representations. In this article, we formulate a conjectural geometrisation of this expectation. We prove half of this conjecture by showing that…

Representation Theory · Mathematics 2014-04-03 Tsao-Hsien Chen , Masoud Kamgarpour

In this chapter we discuss the Einstein Podolsky Rosen theorem and its strong relation with Bell's theorem. The central role played by the concept of beable introduced by Bell is emphasized. In particular we stress that beables involved in…

Quantum Physics · Physics 2023-11-10 Aurélien Drezet

The purposes of the present article are: a) To show that non-locality leads to the transfer of certain amounts of energy and angular momentum at very long distances, in an absolutely strange and unnatural manner, in any model reproducing…

General Physics · Physics 2007-10-05 Athanasios Prikas

Everyday experience supports the existence of physical properties independent of observation in strong contrast to the predictions of quantum theory. In particular, existence of physical properties that are independent of the measurement…

Quantum Physics · Physics 2016-03-09 Beatrix C. Hiesmayr , Jan-Å ke Larsson

Neo-Darwinian evolutionary theory explains how the appearance of purposive design in the sophisticated adaptations of living organisms can have come about without their intentionally being designed. The explanation relies crucially on the…

Biological Physics · Physics 2015-04-22 Chiara Marletto

In an incoherent dictionary, most signals that admit a sparse representation admit a unique sparse representation. In other words, there is no way to express the signal without using strictly more atoms. This work demonstrates that sparse…

Information Theory · Computer Science 2016-11-18 Joel A. Tropp

Mermin states that his nontechnical version of Bell's theorem stands and is not invalidated by time and setting dependent instrument parameters as claimed in one of our previous papers. We identify deviations from well-established protocol…

Quantum Physics · Physics 2007-05-23 Karl Hess , Walter Philipp

Finetuning and Naturalness are extra-empirical theory assessments that reflect our expectation how scientific theories should provide an intuitive understanding about the foundations underlying the observed phenomena. Recently, the absence…

History and Philosophy of Physics · Physics 2019-05-16 Heinrich Päs

Referred to as the third rung of the causal inference ladder, counterfactual queries typically ask the "What if ?" question retrospectively. The standard approach to estimate counterfactuals resides in using a structural equation model that…

Machine Learning · Computer Science 2023-01-18 Edward De Brouwer

Local systems may appear to violate Bell's inequalities if they are observed through suitable filters. The nonlocality leading to violation is outside the system and comprises the observer comparing the outcomes of the typical two wing Bell…

Quantum Physics · Physics 2007-05-23 Helmut Dersch