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Minimal and maximal uncertainties of position measurements are widely considered possible hallmarks of low-energy quantum as well as classical gravity. While General Relativity describes interactions in terms of spatial curvature, its…

广义相对论与量子宇宙学 · 物理学 2023-03-23 Fabian Wagner

Relative Locality is a recent approach to the quantum-gravity problem which allows to tame nonlocality effects which may rise in some models which try to describe Planck-scale physics. I here explore the effect of Relative Locality on basic…

高能物理 - 理论 · 物理学 2014-12-10 Niccoló Loret

We propose a deepening of the relativity principle according to which the invariant arena for non-quantum physics is a phase space rather than spacetime. Descriptions of particles propagating and interacting in spacetimes are constructed by…

高能物理 - 理论 · 物理学 2015-05-20 Giovanni Amelino-Camelia , Laurent Freidel , Jerzy Kowalski-Glikman , Lee Smolin

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Eduard Prugovecki

In this paper we construct the action describing dynamics of the particle moving in curved spacetime, with a non-trivial momentum space geometry. Curved momentum space is the core feature of theories where relative locality effects are…

高能物理 - 理论 · 物理学 2013-07-11 Jerzy Kowalski-Glikman , Giacomo Rosati

We describe a recently introduced principle of relative locality which we propose governs a regime of quantum gravitational phenomena accessible to experimental investigation. This regime comprises phenomena in which $\hbar$ and $G_N$ may…

高能物理 - 理论 · 物理学 2015-05-28 Giovanni Amelino-Camelia , Laurent Freidel , Jerzy Kowalski-Glikman , Lee Smolin

Quantum non-locality is normally defined via violations of Bell's inequalities that exclude certain classical hidden variable theories from explaining quantum correlations. Another definition of non-locality refers to the wave-function…

量子物理 · 物理学 2018-08-01 Armen E. Allahverdyan , Arshag Danageozian

We show that General Relativity coupled to a quantum field theory generically leads to non-local effects in the matter sector. These non-local effects can be described by non-local higher dimensional operators which remarkably have an…

高能物理 - 理论 · 物理学 2016-01-27 Xavier Calmet , Djuna Croon , Christopher Fritz

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,…

量子物理 · 物理学 2017-03-20 Elizabeth S. Gould , Niayesh Afshordi

The conflict between the locality of general relativity, reflected in its space-time description, and the non-locality of quantum mechanics, contained in its Hilbert space description, is discussed. Gauge covariant non-local observables…

量子物理 · 物理学 2009-11-07 Jeeva Anandan

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…

数学物理 · 物理学 2014-11-20 Sergio Doplicher

In this paper we introduce a new general framework for the study of phenomenological quantum gravity theories (PQG). The key idea is the introduction of two different types of spacetime, an observer-independent spacetime (modeled by a…

广义相对论与量子宇宙学 · 物理学 2026-04-21 Andrea Bevilacqua , Alice Boldrin

A new approach to the model-independent description of quantum field theories will be introduced in the present work. The main feature of this new approach is to incorporate in a local sense the principle of general covariance of general…

数学物理 · 物理学 2011-05-05 Romeo Brunetti , Klaus Fredenhagen , Rainer Verch

Electromagnetism is the paradigm case of a theory that satisfies relativistic locality. This can be proven by demonstrating that, once the theory's laws are imposed, what is happening within a region fixes what will happen in the…

量子物理 · 物理学 2024-12-17 Eugene Y. S. Chua , Charles T. Sebens

Curvature is a key notion in General Relativity, characterizing the local physical properties of spacetime. By contrast, the concept of curvature has received scant attention in nonperturbative quantum gravity. One may even wonder whether…

广义相对论与量子宇宙学 · 物理学 2023-06-27 R. Loll

A brief account of the present status of the recent nonlocal generalization of Einstein's theory of gravitation is presented. The main physical assumptions that underlie this theory are described. We clarify the physical meaning and…

广义相对论与量子宇宙学 · 物理学 2015-01-20 B. Mashhoon

I take non-locality to be the Michaelson Morley experiment of the 21st Century, assume its universal validity, and try to derive its consequences. Spacetime, with its locality, cannot be fundamental, but emergent from entangled coherent…

综合物理 · 物理学 2022-04-27 Stuart Kauffman

We discuss cosmological effects of the quantum loops of massless particles, which lead to temporal non-localities in the equations of motion governing the scale factor a(t). For the effects discussed here, loops cause the evolution of a(t)…

广义相对论与量子宇宙学 · 物理学 2014-06-11 John F. Donoghue , Basem Kamal El-Menoufi

We show in general that for a relativistic theory with curved momentum space, i.e.~a theory with deformed relativistic symmetries, the physical velocity of particles coincides with their group velocity. This clarifies a long-standing…

广义相对论与量子宇宙学 · 物理学 2020-08-26 Salvatore Mignemi , Giacomo Rosati

Generalized uncertainty principles are able to serve as useful descriptions of some of the phenomenology of quantum gravity effects, providing an intuitive grasp on non-trivial space-time structures such as a fundamental discreteness of…

高能物理 - 理论 · 物理学 2015-06-03 Martin Bojowald , Achim Kempf
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