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It is well known that the experience of a linearly accelerated observer with acceleration $a$, interacting with a massless scalar field in its vacuum state in $3+1$ Minkowski spacetime, is identical to that of a static observer interacting…

广义相对论与量子宇宙学 · 物理学 2024-03-25 Cameron R. D. Bunney , Leo Parry , T. Rick Perche , Jorma Louko

In this paper it is reconciled how the metric in Minkowskian space-time gets transformed from one coordinates system to another after successive Lorentz transformations. And likewise this idea is generalized to achieve metric transformation…

广义相对论与量子宇宙学 · 物理学 2023-05-08 Shubhen Biswas

Moving mirrors have been used for a long time as simple models for studying various properties of black hole radiation, such as the thermal spectrum and entanglement entropy. These models are typically constructed to mimic the collapse of a…

广义相对论与量子宇宙学 · 物理学 2024-07-09 Evgenii Ievlev

Maxwell Electrodynamics can be described either in Minkowski space-time or in a dynamically equivalent way in a curved geometry constructed in terms of the electromagnetic field. For this the field must have a superior bound limited by a…

广义相对论与量子宇宙学 · 物理学 2016-11-18 M. Novello , C. E. L. Ducap

We study the limits to the localizability of events and reference frames in the $\kappa$-Minkowski quantum spacetime. Our main tool will be a representation of the $\kappa$-Minkowski commutation relations between coordinates, and the…

高能物理 - 理论 · 物理学 2019-04-17 Fedele Lizzi , Mattia Manfredonia , Flavio Mercati , Timothé Poulain

We show the equivalences of several notions of entropy, like a version of the topological entropy of the geodesic flow and the Minkowski dimension of the boundary, in metric spaces with convex geodesic bicombings satisfying a uniform…

动力系统 · 数学 2021-05-26 Nicola Cavallucci

Massive spinning particle in $6d$-Minkowski space is described as a mechanical system with the configuration space $R^{5,1} \times CP^3$. The action functional of the model is unambiguously determined by the requirement of identical…

高能物理 - 理论 · 物理学 2016-09-06 S. L. Lyakhovich , A. A. Sharapov , K. M. Shekhter

The entanglement entropy correlates two quantum sub-systems which are the part of the larger system. A logarithmic divergence term present in the entanglement entropy is universal in nature and directly proportional to the conformal…

高能物理 - 理论 · 物理学 2016-10-19 Dharm Veer Singh , Shobhit Sachan

A scalar model is built, as a quantum field theory defined on toroidal topologies, to describe phase transition in films subjected to periodic boundary conditions and influenced by an external and constant magnetic field. Criticality is…

统计力学 · 物理学 2017-12-12 Erich Cavalcanti , Erick Castro , Cesar A. Linhares , Adolfo P. C. Malbouisson

Noncommutative spacetimes are a proposed effective description of the low-energy regime of Quantum Gravity. Defining the microcausality relations of a scalar quantum field theory on the $\kappa$-Minkowski noncommutative spacetime allows us…

高能物理 - 理论 · 物理学 2018-11-05 Flavio Mercati , Matteo Sergola

The relation of a scalar field with a perfect fluid has generated some debate along the last few years. In this paper we argue that shift-invariant scalar fields can describe accurately the potential flow of an isentropic perfect fluid,…

广义相对论与量子宇宙学 · 物理学 2013-11-22 Alberto Diez-Tejedor

We argue that the notion of entanglement in de Sitter space arises naturally from the non-trivial Lorentzian geometry of the spacetime manifold, which consists of two disconnected boundaries and a causally disconnected interior. In four…

高能物理 - 理论 · 物理学 2019-12-10 Cesar Arias , Felipe Diaz , Per Sundell

There is a well-known short list of asymptotic conserved quantities for a physical system at spatial infinity. We search for new ones.This is carried outwithin the asymptotic framework of Ashtekar and Romano, in which spatial infinity is…

广义相对论与量子宇宙学 · 物理学 2011-06-20 Shyan-Ming Perng

Using the twist deformation of $U(igl(4,R))$, the linear part of the diffeomorphism, we define a scalar function and construct a free scalar field theory in four-dimensional $\kappa$-Minkowski spacetime. The action in momentum space turns…

高能物理 - 理论 · 物理学 2010-03-04 Hyeong-Chan Kim , Youngone Lee , Chaiho Rim , Jae Hyung Yee

The focusing of the vacuum modes of a quantized field by a parabolic mirror is investigated. We use a geometric optics approximation to calculate the energy density and mean squared field averages for scalar and electromagnetic fields near…

量子物理 · 物理学 2016-09-08 L. H. Ford , N. F. Svaiter

In recent years the idea that not only the configuration space of particles, i.e. spacetime, but also the corresponding momentum space may have nontrivial geometry has attracted significant attention, especially in the context of quantum…

高能物理 - 理论 · 物理学 2016-06-28 Jakub Mielczarek , Tomasz Trzesniewski

In this paper we study energy radiation from a moving mirror in 1+1 dimensional space-time. The mirror is assumed to have finite mass and accordingly to receive back reaction from scalar photon field. The mode expansion of the scalar field…

高能物理 - 理论 · 物理学 2008-02-03 Riuji Mochizuki , Kenji Ikegami , Takayuki Suga

The Minkowski vacuum is often presented in textbooks and reviews as a thermofield double (TFD) state, an entangled state of field modes in the left and right Rindler wedges. This picture is widely used to explain the Unruh effect, motivate…

广义相对论与量子宇宙学 · 物理学 2026-05-15 Vaibhav Wasnik

We show that a particular noncommutative geometry, sometimes called angular or $\rho$-Minkowski, requires that the spectrum of time be discrete. In this noncommutative space the time variable is not commuting with the angular variable in…

高能物理 - 理论 · 物理学 2021-05-19 Fedele Lizzi , Patrizia Vitale

We consider a hybrid bimetric model where, in addition to the ordinary metric tensor that determines geometry, an informational metric is introduced to describe the reference frame of an observer. We note that the local information metric…

广义相对论与量子宇宙学 · 物理学 2023-09-22 Merab Gogberashvili
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