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The Special Theory of Relativity and Quantum Mechanics merge in the key principle of Quantum Field Theory, the Principle of Locality. We review some examples of its ``unreasonable effectiveness'' (which shows up best in the formulation of…

Mathematical Physics · Physics 2014-11-20 Sergio Doplicher

A large number of physicists now admit that quantum mechanics is a non local theory. The EPR argument and the many experiments (including recent loop-hole free tests) showing the violation of Bell's inequalities seem to have confirmed…

Quantum Physics · Physics 2019-11-13 Hervé Zwirn

Locality is a central notion in modern physics, but different disciplines understand it in different ways. Quantum field theory focuses on relativistic locality, based on spacetime regions, while quantum information theory focuses circuit…

Quantum Physics · Physics 2026-03-25 Andrea Di Biagio , Richard Howl , Časlav Brukner , Carlo Rovelli , Marios Christodoulou

We define criteria for a hidden variables theory to be Lorentz invariant and prove that it implies no signaling. As a result, we show that a Lorentz invariant and contextual theory (e.g., quantum field theory) must be genuinely stochastic,…

Quantum Physics · Physics 2025-03-18 Avi Levy , Meir Hemmo

A century after the advent of Quantum Mechanics and General Relativity, both theories enjoy incredible empirical success, constituting the cornerstones of modern physics. Yet, paradoxically, they suffer from deep-rooted, so-far intractable,…

Quantum Physics · Physics 2017-03-20 Elizabeth S. Gould , Niayesh Afshordi

Imposing the Born rule as a fundamental principle of quantum mechanics would require the existence of normalizable wave functions also for relativistic particles. Indeed, the Fourier transforms of normalized k-space amplitudes yield…

Quantum Physics · Physics 2023-04-19 Joshua G. Fenwick , Rainer Dick

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

Locally real states of electromagnetic radiation derived from the underlying quantum mechanical formalism are shown to provide an alternative basis for definite polarized states of the widely accepted probabilistic interpretation. The…

General Physics · Physics 2023-07-07 Stuart Mirell , Daniel Mirell

In nonrelatistic quantum mechanics, Born's principle of localistion is as follows: For a single particle, if a wave function $\psi_K$ vanishes outside a spatial region $K$, it is said to be localised in $K$. In particular if a spatial…

High Energy Physics - Theory · Physics 2017-08-02 A. P. Balachandran

The framework of locally covariant quantum field theory is discussed, motivated in part using "ignorance principles". It is shown how theories can be represented by suitable functors, so that physical equivalence of theories may be…

General Relativity and Quantum Cosmology · Physics 2016-08-29 Christopher J. Fewster

We discuss the locality problem in relativistic and nonrelativistic quantum theory. We show that there exists a formulation of quantum theory that, on one hand, preserves the mathematical apparatus of the standard quantum mechanics and, on…

Quantum Physics · Physics 2009-03-25 D. A. Slavnov

While quantum mechanics allows spooky action at a distance at the level of the wave-function, it also respects locality since there is no instantaneous propagation of real physical effects. We show that this feature can be proved in the…

General Physics · Physics 2022-01-28 Ali Kaya

Doubly special relativity (DSR) is usually regarded as a low-energy limit of a quantum gravity theory with testable predictions. On the other hand, non-local quantum field theories have been presented as a solution to the inconsistencies…

High Energy Physics - Theory · Physics 2025-02-24 J. J. Relancio , L. Santamaría-Sanz

Local realism has been the subject of much discussion in modern physics, partly because our deepest theories of physics appear to contradict one another in regard to whether reality is local. According to general relativity, it is, as…

Quantum Physics · Physics 2026-01-21 Sam Kuypers

We discuss the nonlocal nature of quantum mechanics and the link with relativistic quantum mechanics such as formulated by quantum field theory. We use here a nonlocal quantum field theory (NLQFT) which is finite, satisfies Poincar\'e…

High Energy Physics - Theory · Physics 2024-01-12 Robin Landry , John Moffat

The physical concept of locality is first analyzed in the special relativistic quantum regime, and compared with that of microcausality and the local commutativity of quantum fields. Its extrapolation to quantum general relativity on…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eduard Prugovecki

The status of locality in quantum mechanics is analyzed from a nonstandard point of view. It is assumed that quantum states are relative, they depend on and are defined with respect to some bigger physical system which contains the former…

Quantum Physics · Physics 2007-05-23 Gyula Bene

Fundamental principle of classical physics -- local realism, means that freely chosen observations can be explained by a local (slower than light) real process. It is apparently violated in quantum mechanics as shown by Bell theorem.…

Quantum Physics · Physics 2015-08-07 Adam Bednorz

In a full theory of quantum gravity, local physics is expected to be approximate rather than innate. It is therefore important to understand how approximate locality emerges in the semiclassical limit. Here we show that any notion of…

High Energy Physics - Theory · Physics 2017-11-09 Netta Engelhardt , Sebastian Fischetti

Can a relativistic quantum field theory be consistently described as a theory of localizable particles? There are many known issues with such a description, indicating an answer in the negative. In this paper, we examine these obstructions…

Quantum Physics · Physics 2019-09-18 Maria Papageorgiou , Jason Pye
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