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Modern quantum engineering techniques enabled successful foundational tests of quantum mechanics. Yet, the universal validity of quantum postulates is an open question. Here we propose a new theoretical framework of Q-data tests, which…

Quantum Physics · Physics 2022-06-29 Michał Eckstein , Paweł Horodecki

Quantum mechanics is one of our most successful physical theories; its predictions agree with experimental observations to an extremely high accuracy. However, the bare formalism of quantum theory does not provide straightforward answers to…

Quantum Physics · Physics 2021-06-11 Nuriya Nurgalieva , Renato Renner

We discuss photon number bounds for a system of non-relativistic particles coupled to the quantized electromagnetic field (non-relativistic QED), below the ionization threshold. Such a bound was assumed in the proof of asymptotic…

Mathematical Physics · Physics 2012-07-27 Jeremy Faupin , Israel Michael Sigal

The Einstein-Podolsky-Rosen (EPR) paradox was presented as an argument that quantum mechanics is an incomplete description of physical reality. However, the premises on which the argument is based are falsifiable by Bell experiments. In…

Quantum Physics · Physics 2024-12-03 C. McGuigan , R. Y. Teh , P. D. Drummond , M. D Reid

This paper discusses a possible resolution of the nonobjectivity-nonlocality dilemma in quantum mechanics in 'the light of experimental tests of the Bell inequality for two entangled photons and a Bell-like inequality for a single neutron.…

Quantum Physics · Physics 2016-03-30 Andrei Khrennikov

Gedankenexperiments have consistently played a major role in the development of quantum theory. A paradigmatic example is Wheeler's delayed-choice experiment, a wave-particle duality test that cannot be fully understood using only classical…

The patterns of fringes produced by an interferometer have long been important testbeds for our best contemporary theories of physics. Historically, interference has been used to contrast quantum mechanics to classical physics, but recently…

Quantum Physics · Physics 2017-12-11 Andrew J. P. Garner , Markus P. Müller , Oscar C. O. Dahlsten

Little effort has been devoted to studying generalised notions or models of (un)predictability, yet is an important concept throughout physics and plays a central role in quantum information theory, where key results rely on the supposed…

Quantum Physics · Physics 2020-01-27 Alastair A. Abbott , Cristian S. Calude , Karl Svozil

We discuss an alternative version of non- relativistic Newtonian mechanics in terms of a real Hilbert space mathematical framework. It is demonstrated that the physics of this scheme correspondent with the standard formulation.…

Quantum Physics · Physics 2007-05-23 Daniel Sepunaru

In light of the significance of non-commutative quaternionic algebra in modern physics, the current study proposes the existence of the Klein paradox in the quaternionic (3+1)-dimensional space-time structure. By introducing the…

General Physics · Physics 2024-10-08 Geetanjali Pathak , B. C. Chanyal

There are four reasons why our present knowledge and understanding of quantum mechanics could be regarded as incomplete. Firstly, the principle of linear superposition has not been experimentally tested for position eigenstates of objects…

Quantum Physics · Physics 2010-06-21 Kinjalk Lochan , T. P. Singh

Recent progress in observing and manipulating mechanical oscillators at quantum regime provides new opportunities of studying fundamental physics, for example, to search for low energy signatures of quantum gravity. For example, it was…

Quantum Physics · Physics 2019-09-24 P. A. Bushev , J. Bourhill , M. Goryachev , N. Kukharchyk , E. Ivanov , S. Galliou , M. E. Tobar , S. Danilishin

Quantum mechanics with quaternionic mass is considered. The momentum eigen-value equation with quaternionic mass yields the Klein-Gordon equation with a mass consisting of longitudinal and traverse masses. The scalar field total mass is…

General Physics · Physics 2022-09-14 A. I. Arbab

There are two powerful arguments against the possibility of extending quantum mechanics, the violation of Bell inequalities and the Kochen-Specker theorem, but the connection between the two remains confused. Following the distinctive…

Quantum Physics · Physics 2025-01-08 Jianqi Sheng , Dongkai Zhang , Lixiang Chen

We show that quantum mechanics predicts an Einstein-Podolsky-Rosen paradox (EPR), and also a contradiction with local hidden variable theories, for photon number measurements which have limited resolving power, to the point of imposing an…

Quantum Physics · Physics 2007-05-23 M. D. Reid

The completeness of quantum mechanics in predictive power is a central question in its foundational study. While most investigations focus on two-dimensional systems, high-dimensional systems are more general and widely applicable. Building…

Quantum Physics · Physics 2025-01-07 Jianqi Sheng , Dongkai Zhang , Lixiang Chen

In this paper, we define a quantum analogue of the notion of empirical measure in the classical mechanics of $N$-particle systems. We establish an equation governing the evolution of our quantum analogue of the $N$-particle empirical…

Analysis of PDEs · Mathematics 2019-07-03 François Golse , Thierry Paul

From the ancient Einstein-Podolsky-Rosen paradox to the recent Sorkin-type impossible measurements problem, the contradictions between relativistic causality, quantum non-locality, and quantum measurement have persisted. Based on quantum…

Quantum Physics · Physics 2025-10-03 Kaixun Tu , Qing Wang

Experiments using high-power lasers and relativistic electron beams will soon be capable of precision testing of the theory of strong-field quantum electrodynamics. The comparison between experiment and theory always occurs via numerical…

High Energy Physics - Phenomenology · Physics 2025-08-07 T. G. Blackburn

The purpose of this article is to show that the introduction of hidden variables to describe individual events is fully consistent with the statistical predictions of quantum theory. We illustrate the validity of this assertion by…

General Physics · Physics 2007-08-07 L. Fritsche , M. Haugk