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The relativistic conception of space and time is challenged by the quantum nature of physical observables. It has been known for a long time that Poincar\'e symmetry of field theory can be extended to the larger conformal symmetry. We use…

量子物理 · 物理学 2013-02-27 Marc-Thierry Jaekel , Serge Reynaud

There is a gap that has been left open since the formulation of general relativity in terms of Ashtekar's new variables namely the treatment of asymptotically flat field configurations that are general enough to be able to define the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 T. Thiemann

We study warped flat geometries in three-dimensional topologically massive gravity. They are quotients of global warped flat spacetime, whose isometries are given by the 2-dimensional centrally extended Poincar\'e algebra. The latter can be…

高能物理 - 理论 · 物理学 2021-01-05 Stéphane Detournay , Wout Merbis , Gim Seng Ng , Raphaela Wutte

Wigner's seminal work on the Poincar\'e group revealed one of the fundamental principles of quantum theory: symmetry groups are projectively represented. The condensed-matter counterparts of the Poincar\'e group could be the spacetime…

介观与纳米尺度物理 · 物理学 2023-11-27 Zheng Zhang , Z. Y. Chen , Y. X. Zhao

The neat formulation that describes the gauge interactions associated with internal symmetries is extended to the case of a simple, yet non-trivial, symmetry group structure which mixes gravity and electromagnetism by associating a gauge…

数学物理 · 物理学 2009-11-11 V. Aldaya , E. Sánchez-Sastre

There is a gap that has been left open since the formulation of general relativity in terms of Ashtekar's new variables namely the treatment of asymptotically flat field configurations that are general enough to be able to define the…

广义相对论与量子宇宙学 · 物理学 2010-04-06 T. Thiemann

We construct the phase space of 3-dimensional asymptotically flat spacetimes that forms the bulk metric representation of the BMS group consisting of both supertranslations and superrotations. The asymptotic symmetry group is a unique copy…

高能物理 - 理论 · 物理学 2017-10-25 Geoffrey Compère , Adrien Fiorucci

When spacetime is considered as a subspace of a wider complex spacetime manifold, there is a mismatch of the elementary linear representations of their symmetry groups, the real and complex Poincar\'{e} groups. In particular, no spinors are…

高能物理 - 理论 · 物理学 2025-11-21 R. Vilela Mendes

We construct a new type of S-matrix in quantum field theory using the general boundary formulation. In contrast to the usual S-matrix the space of free asymptotic states is located at spatial rather than at temporal infinity. Hence, the new…

高能物理 - 理论 · 物理学 2008-11-26 Daniele Colosi , Robert Oeckl

By extending Ashtekar and Romano's definition of spacelike infinity to the timelike direction, a new definition of asymptotic flatness at timelike infinity for an isolated system with a source is proposed. The treatment provides unit…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Uchida Gen , Tetsuya Shiromizu

A generalised equivalence principle is put forward according to which space-time symmetries and internal quantum symmetries are indistinguishable before symmetry breaking. Based on this principle, a higher-dimensional extension of Minkowski…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Dorje C. Brody , Lane P. Hughston

Four-dimensional asymptotically flat spacetimes at spatial infinity are defined from first principles without imposing parity conditions or restrictions on the Weyl tensor. The Einstein-Hilbert action is shown to be a correct variational…

高能物理 - 理论 · 物理学 2015-05-28 Geoffrey Compère , François Dehouck

We construct a canonical quantization of the two dimensional theory of a parametrized scalar field on noncompact spatial slices. The kinematics is built upon generalized charge-network states which are labelled by smooth embedding…

广义相对论与量子宇宙学 · 物理学 2014-04-09 Sandipan Sengupta

Postulates which lead to Minkowski spacetime are amended in a subtle way, and used to construct a consistent flat spacetime geometry with intrinsic quantum character. Events in the new quantum geometry are described by labels of the form…

综合物理 · 物理学 2007-05-23 Gottfried Lichti

In this work, we show that extending the standard description of space-time symmetries from groups of isometries to the more flexible framework of kinematical groupoids allows for the extension of Wigner's program to curved space-times. We…

数学物理 · 物理学 2026-04-08 Alberto Ibort , Giuseppe Marmo , Arnau Mas , Luca Schiavone

The structure of the asymptotic symmetry in the Poincar\'e gauge theory of gravity in 2d is clarified by using the Hamiltonian formalism. The improved form of the generator of the asymptotic symmetry is found for very general asymptotic…

高能物理 - 理论 · 物理学 2009-10-30 M. Blagojevic , M. Vasilic , T. Vukasinac

The construction of a theory of quantum gravity is an outstanding problem that can benefit from better understanding the laws of nature that are expected to hold in regimes currently inaccessible to experiment. Such fundamental laws can be…

高能物理 - 理论 · 物理学 2020-03-17 Friedrich Schöller

The assumption of asymptotic flatness for isolated astrophysical bodies may be considered an approximation when one considers a cosmological context where a cosmological constant or vacuum energy is present. In this framework we study the…

广义相对论与量子宇宙学 · 物理学 2020-07-29 Bobir Toshmatov , Ozodbek Rahimov , Bobomurat Ahmedov , Daniele Malafarina

We report that a class of three-dimensional bimetric theories contain asymptotically flat solutions. These spacetimes can be cast in a set of asymptotic conditions at null infinity which are preserved under the infinite dimensional BMS…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Hernan A. Gonzalez , Miguel Pino

Close to the Planck energy scale, the quantum nature of space-time reveals itself and all forces, including gravity, should be unified so that all interactions correspond to just one underlying symmetry. In the absence of a full quantum…

高能物理 - 理论 · 物理学 2015-03-17 Mairi Sakellariadou
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