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We begin with a scenario that involves point-like observers starting at t=0 from the origin O of an inertial reference frame. They move with all possible proper accelerations in the positive direction of the OX axis. Equipped with light…

综合物理 · 物理学 2008-12-02 Bernhard Rothenstein , Stefan Popescu

In a seminal paper, Unruh and Wald found that the detection of a right Rindler particle by a linearly uniformly accelerated detector coupled to a Klein-Gordon field in the Minkowski vacuum leads to the creation of a Minkowski particle from…

广义相对论与量子宇宙学 · 物理学 2023-07-19 Angel Garcia-Chung , Benito A. Juárez-Aubry , Daniel Sudarsky

We show that the fractal curvature measures of invariant sets of one-dimensional conformal iterated function systems satisfying the open set condition exist, if and only if the associated geometric potential function is nonlattice.…

度量几何 · 数学 2017-10-10 Marc Kesseböhmer , Sabrina Kombrink

The standard relativistic theory of accelerated reference frames in Minkowski spacetime is described. The measurements of accelerated observers are considered and the limitations of the standard theory, based on the hypothesis of locality,…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Bahram Mashhoon

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

High precision astrometry, space missions and certain tests of General Relativity, require the knowledge of the metric tensor of the solar system, or more generally, of a gravitational system of N extended bodies. Presently, the metric of…

天体物理仪器与方法 · 物理学 2015-06-19 Sven Zschocke , Michael H. Soffel

We adapt the axioms of the quantum mechanics to the quantum Minkowski space-time coordinates and their transformations under the quantum Lorentz group to show how we can formulate the noncommutative special relativity and its quantum…

数学物理 · 物理学 2007-05-23 M. Lagraa

Fermi co-ordinates are proper co-ordinates of a local observer determined by his trajectory in space-time. Two observers at different positions belong to different Fermi frames even if there is no relative motion between them. Use of Fermi…

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

The response of the Unruh-DeWitt type monopole detectors which were coupled to the quantum field only for a finite proper time interval is studied for inertial and accelerated trajectories, in the Minkowski vacuum in (3+1) dimensions. Such…

广义相对论与量子宇宙学 · 物理学 2009-10-22 L. Sriramkumar , T. Padmanabhan

Lecture at BOSS2011 on relativistic metrology, on clock synchronization, relativistic dynamics and non-inertial frames in Minkowski spacetime, on relativistic atomic physics, on ADM canonical tetrad gravity in asymptotically Minkowskian…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Luca Lusanna

An inversion transformation applied to an inertial observer is used to generate a nonstatic conformally flat geometry in spherical coordinates. A static observer in the new geometry is uniformly accelerating with respect to the inertial one…

广义相对论与量子宇宙学 · 物理学 2011-11-04 Hristu Culetu

I provide a prescription to define space, at a given moment, for an arbitrary observer in an arbitrary (sufficiently regular) curved space-time. This prescription, based on synchronicity (simultaneity) arguments, defines a foliation of…

广义相对论与量子宇宙学 · 物理学 2009-11-07 M. Lachièze-Rey

The Minkowski vacuum $|0\rangle_M$, which for an inertial observer is devoid of particles, is treated as a thermal bath by Rindler observers living in a single Rindler wedge, as a result of the discrepancy in the definition of positive…

量子物理 · 物理学 2022-05-26 L. Pipolo de Gioia , M. C. de Oliveira

We reassess the problem of symmetry restoration induced by observers' acceleration within the context of interacting quantum field theories in Minkowski spacetime. We argue that the imposition of a frame-independent renormalization…

高能物理 - 理论 · 物理学 2024-05-21 Domenico Giuseppe Salluce , Marco Pasini , Antonino Flachi , Antonio Pittelli , Stefano Ansoldi

Pairs of metrics in a two-dimensional linear vector space are considered, one of which is a Minkowski type metric. Their simultaneous diagonalizability is studied and canonical presentations for them are suggested.

度量几何 · 数学 2007-10-23 Ruslan Sharipov

The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration $a$ experiences Minkowski vacuum as a thermal state in the temperature $T_{\text{lin}} = a/(2\pi)$, operationally measurable via the detailed…

广义相对论与量子宇宙学 · 物理学 2023-03-28 Steffen Biermann , Sebastian Erne , Cisco Gooding , Jorma Louko , Jörg Schmiedmayer , William G. Unruh , Silke Weinfurtner

We show that relativistic rotation transformations represent transfer maps between the laboratory system and a local observer on an observer manifold, rather than an event manifold, in the spirit of C-equivalence. Rotation is, therefore,…

综合数学 · 数学 2024-04-10 Satyanad Kichenassamy

We develop an alternative derivation of Unruh and Wald's seminal result that the absorption of a Rindler particle by a detector as described by uniformly accelerated observers corresponds to the emission of a Minkowski particle as described…

广义相对论与量子宇宙学 · 物理学 2007-05-23 George E. A. Matsas

Semiclassical chiral kinetic theories in the presence of electromagnetic fields as well as vorticity can be constructed by means of some different relativistic or nonrelativistic approaches. To cover the noninertial features of rotating…

高能物理 - 理论 · 物理学 2019-08-21 O. F. Dayi , E. Kilincarslan

In this work we compare the quantization of a massless scalar field in an inertial frame with the quantization in a rotating frame. We used the Trocheries-Takeno mapping to relate measurements in the inertial and the rotating frames. An…

高能物理 - 理论 · 物理学 2008-11-26 V. A. De Lorenci , R. D. M. De Paola , N. F. Svaiter