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Gravitomagnetic resonance and gravitational waves 重力磁共振和引力波
Pub Date : 2021-02-26 DOI: 10.1142/9789811269776_0335
M. Ruggiero, A. Ortolan
Gravitational waves are usually described in terms of a transverse and traceless (TT) tensor, which allows to introduce the so-called TT coordinates. However, another possible approach is based on the use of a Fermi coordinates system, defined in the vicinity of the world-line of an observer arbitrarily moving in spacetime. In particular, Fermi coordinates have a direct operational meaning, since they are the coordinates an observer would use to perform space and time measurements; indeed, using these coordinates the metric tensor contains (up to the required approximation level) only quantities that are invariant under coordinate transformations internal to the reference frame. Using this approach it is simple to emphasise that what an observer measures depends both on the background field where he is moving and, also, on his kind of motion. This is quite similar to what happens when we study classical mechanics in non inertial frames: inertial forces appear, depending on the peculiar motion of the frame with respect to an inertial one. We show that using Fermi coordinates the effects of a plane gravitational wave can be described by gravitoelectromagnetic fields: in other words, the wave field is equivalent to the action of a gravitoelectric and a gravitomagnetic field, that are transverse to the propagation direction and orthogonal to each other. In particular, the gravito-magnetic field acts on spinning particles and we show that, due to the action of the gravitational wave field a gravitomagnetic resonance may appear. We give both a classical and a quantum description of this phenomenon and suggest that it can be used as the basis for a new type of gravitational wave detectors.
引力波通常用一个横向无迹(TT)张量来描述,这允许引入所谓的TT坐标。然而,另一种可能的方法是基于费米坐标系的使用,在任意在时空中移动的观察者的世界线附近定义。特别是,费米坐标具有直接的操作意义,因为它们是观测者用来进行空间和时间测量的坐标;实际上,使用这些坐标,度量张量只包含(直到所需的近似水平)在参考系内部的坐标变换下不变的量。使用这种方法可以很容易地强调,观察者所测量的内容既取决于他移动的背景场,也取决于他的运动类型。这与我们在非惯性系中学习经典力学时所发生的情况非常相似:惯性力的出现,取决于惯性系相对于惯性系的特殊运动。我们证明了使用费米坐标,平面引力波的效应可以用重力电磁场来描述:换句话说,波场相当于重力电场和重力磁场的作用,它们与传播方向是横向的,彼此正交。特别地,重力磁场作用于自旋粒子,我们表明,由于引力波场的作用,可能会出现重力磁共振。我们给出了这一现象的经典和量子描述,并认为它可以作为一种新型引力波探测器的基础。
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引用次数: 0
Dynamics of disk and elliptical galaxies in Refracted Gravity 圆盘和椭圆星系在折射重力下的动力学
Pub Date : 2021-02-22 DOI: 10.3390/ecu2021-09292
V. Cesare
I investigate the dynamics of galaxies in refracted gravity (RG), a novel theory of modified gravity which does not resort to dark matter (DM). The DM presence is mimicked by a gravitational permittivity, a monotonic increasing function of the local mass density that depends on three, in principle, universal parameters. RG reproduces the kinematic profiles of 30 disk galaxies in the DiskMass Survey (DMS), with mass-to-light ratios in agreement with stellar population synthesis models, disk-scale heights consistent with edge-on galaxies observations, and the RG parameters from the individual galaxies in agreement with one another, suggesting their universality. RG models the radial acceleration relation of the DMS galaxies with the correct asymptotic limits but with residuals correlating with some galaxies properties and with a too large intrinsic scatter, in contrast with observations, which requires further investigation. RG also describes the velocity dispersions of stars and of blue and red globular clusters in three elliptical E0 galaxies from the SLUGGS survey with sensible mass-to-light ratios and anisotropy parameters and with the three RG parameters consistent with one another. These parameters are also in agreement with the mean RG parameters estimated from the individual DMS galaxies.
我研究了折射引力(RG)下的星系动力学,这是一种新的修正引力理论,不诉诸暗物质(DM)。DM的存在由引力介电常数模拟,这是局部质量密度的单调递增函数,原则上取决于三个通用参数。RG重现了DiskMass Survey (DMS)中30个盘状星系的运动轮廓,其质量光比与恒星种群综合模型一致,盘状尺度高度与星系边缘观测一致,单个星系的RG参数彼此一致,表明它们具有普遍性。RG模型的DMS星系径向加速度关系具有正确的渐近极限,但残差与某些星系性质相关,并且与观测值相比,本征散点过大,这需要进一步研究。RG还描述了三个椭圆E0星系中恒星以及蓝球状星团和红球状星团的速度弥散,具有明显的质量光比和各向异性参数,并且三个RG参数彼此一致。这些参数也与从单个DMS星系估计的平均RG参数一致。
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引用次数: 1
Gravitational Collapse in 4D-Einstein Gauss-Bonnet Gravity 4d -爱因斯坦-高斯-邦纳引力中的引力坍缩
Pub Date : 2021-02-22 DOI: 10.3390/ecu2021-09279
Omia Masood, H. H. Shah, H. Shah, A. Issakhov, S. Z. Abbas
We investigate the gravitational collapse of a gravitational bounded object constituted of dust cloud and dark energy. We considered the the effects of homogenous and isotropic fluid on newly suggested 4D limit for Einstein-Gauss-Bonnet gravity(EGB) (For detail about EGB gravity, arXiv:1905.03601v3). For this purpose, we consider the gravitational collapse of gravitational object made of dust cloud ρDM in the background of dark energy, p = wρ with (w < −1/3). We illustrate that the procedure is qualitatively equivalent to the scenario of theory of Einstein for the collapse of the gravitational object composed of homogeneous dust. Further, we consider the collapse for dark energy by considering the equation of state p = wρ to find that black hole also may form in EGB case, which predict that end state of gravitational collapse in EGB case is consistent with results carried out in pure Einstein’s gravity theory. We have discussed two separate case, first, gravitational collapse of dust cloud in the context of EGB, in the second case, gravitational collapse of dark energy in EGB background. It is found that, gravitational collapse leads to formation of black hole in both cases. It is also worth mentioning that, end state of gravitational collapse in EGB context is same as in pure Einstein's gravity. Here, in this study dark matter refer to dust cloud, a matter with zero pressure.
我们研究了一个由尘埃云和暗能量组成的引力有界物体的引力坍缩。我们考虑了均匀性和各向同性流体对新提出的einstein - gaas - bonnet重力(EGB gravity, arXiv:1905.03601v3) 4D极限的影响。为此,我们考虑在暗能量背景下,p = wρ与(w < - 1/3),尘埃云构成的引力天体ρDM的引力坍缩。我们说明了这一过程在质量上等同于爱因斯坦理论中由均匀尘埃组成的引力物体坍缩的情景。进一步,我们通过考虑状态方程p = wρ来考虑暗能量的坍缩,发现在EGB情况下也可能形成黑洞,从而预测了EGB情况下引力坍缩的最终状态与纯爱因斯坦引力理论的结果是一致的。我们讨论了两种不同的情况,一种是EGB背景下尘埃云的引力坍缩,另一种是EGB背景下暗能量的引力坍缩。研究发现,在这两种情况下,引力坍缩都会导致黑洞的形成。值得一提的是,在EGB背景下,引力坍缩的最终状态与纯爱因斯坦引力相同。在这项研究中,暗物质指的是尘埃云,一种压力为零的物质。
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引用次数: 0
Modified Commutators vs Modified Operators in a Quantum Gravity minimal length scale 量子引力最小长度尺度下的修正换向子与修正算子
Pub Date : 2021-02-22 DOI: 10.1063/5.0033527
Joey Contreras, Douglas Singleton, Michael Bishop, Jaeyeong Lee
: Generic theories of quantum gravity often postulate that at some high energy/momentum scale there will be a fixed, minimal length. Such a minimal length can be phenomenologically investigated by modifying the standard Heisenberg Uncertainty relationship. This is generally done in practice by modifying the commutator between position and momentum operators, which in turn means modifying these operators. However, modifications such that the uncertainty relation changes lead to conflicts with observational data (gamma ray bursts). This arises in the form of a predicted minimal length energy scale that is above the Planck energy rather than below it. As a result there seems to be an implication that there is no minimal length scale in these generic theories. Meanwhile, modifying the operators such that the standard uncertainty relation retains the same form, leads to no such conflict with observational data. We show that it is this modification of the position and momentum operators that is the key determining factor in the existence (or not) of a minimal length scale. By focusing primarily on the role of these operators we also show that one can avoid the constraints from the observations of short gamma ray bursts, which in certain cases seem to push the minimal length scale above the Planck scale.
量子引力的一般理论通常假设在某些高能量/动量尺度上会有一个固定的最小长度。这样的最小长度可以通过修改标准海森堡不确定性关系在现象学上进行研究。这在实践中通常是通过修改位置和动量算符之间的换向子来实现的,这反过来意味着修改这些算符。然而,这种不确定关系变化的修正会导致与观测数据(伽马射线暴)的冲突。这以预测的最小长度能量尺度的形式出现,它高于普朗克能量,而不是低于它。因此,似乎有一种暗示,即在这些一般理论中没有最小长度尺度。同时,修改运算符,使标准不确定关系保持相同的形式,则不会与观测数据产生冲突。我们证明了位置和动量算符的这种修改是最小长度尺度存在与否的关键决定因素。通过主要关注这些算子的作用,我们还表明,人们可以避免来自短伽马射线暴观测的限制,在某些情况下,短伽马射线暴似乎将最小长度尺度推到了普朗克尺度之上。
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引用次数: 2
Atoms, molecules, photons and phonons in primary science 初级科学中的原子,分子,光子和声子
Pub Date : 2021-02-22 DOI: 10.3390/ecu2021-09318
David Wood
Traditional science education wisdom suggests that abstract concepts are beyond the majority of primary-school aged students. This includes introducing atoms and molecules. The Einstein-First curriculum introduces atoms and molecules into Year 3 via songs, role plays and simple atomic models made from plasticine (modelling clay) and balls with embedded magnets. They use these models and analogies to relate what they see at a macroscopic level to the miniscule structures of atoms and molecules, and the electrical forces that hold them together. At this early stage, we concentrate particularly on students becoming familiar with the language of modern science: atoms, molecules and photons. The challenge is to introduce an atomic model that is faithful to the quantum and probabilistic nature of atoms and yet avoids both the misconceptions of planetary type orbitals which dominate almost all introductory chemistry. Instead we show easily accessible images from the internet of the beautiful complexity of electron orbitals. We present atoms as a miniscule nucleus of protons and neutrons surrounded by an electron cloud in which the electrons are ‘in there somewhere’. This presentation will concisely outline our spiral learning approach in which students in Years 3 to 6 will revisit and develop concepts throughout four years of primary education. They will leave primary school with clear concepts of photons and phonons, changes of state (Year 3), physical properties of materials (Year 4), states of matter (Year 5) and simple reversible and irreversible changes to materials.
传统的科学教育智慧表明,抽象概念超出了大多数小学生的能力范围。这包括引入原子和分子。“爱因斯坦第一”课程通过歌曲、角色扮演、用橡皮泥和嵌有磁铁的球制作的简单原子模型,向三年级学生介绍原子和分子。他们使用这些模型和类比,将他们在宏观层面上看到的东西与原子和分子的微小结构以及将它们结合在一起的电力联系起来。在这个早期阶段,我们特别注重让学生熟悉现代科学的语言:原子、分子和光子。我们面临的挑战是引入一个原子模型,这个模型既要忠实于原子的量子和概率性质,又要避免几乎主导所有入门化学的行星型轨道的误解。相反,我们展示了从互联网上容易获取的电子轨道美丽复杂的图像。我们把原子描绘成一个由质子和中子组成的微小原子核,原子核周围环绕着电子云,而电子云中的电子“就在那里的某个地方”。本演讲将简要概述我们的螺旋学习方法,在这种方法中,三至六年级的学生将在四年的小学教育中重新审视和发展概念。他们将在小学毕业时,对光子和声子、状态变化(三年级)、材料的物理性质(四年级)、物质的状态(五年级)以及材料的简单可逆和不可逆变化有清晰的概念。
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引用次数: 0
Particle physics for primary schools—enthusing children to modern science 小学粒子物理学——让孩子们对现代科学充满热情
Pub Date : 2021-02-22 DOI: 10.3390/ecu2021-09321
C. Lazzeroni
A particle physics workshop for UK primary schools has been designed and trialed in 2016-2017 as a collaboration between the University of Birmingham and the Odgen Trust. The workshop allows young children (ages 8–11) to learn the world of fundamental particles, use creative design to make particle models, and learn creatively about how particles interact. The initial resources were reviewed and improved, based on the feedback received from school teachers and communicators. The final workshop has been delivered in many primary schools in UK in 2017-2020, receiving very positive evaluation and clear evidence of impact. A set of primary school teachers have been trained to deliver the workshop. Resources specifically created for teachers and educators have been made available on the University website. Despite particle physics is often classified as a subject too difficult and abstract for primary schools, the workshop uses familiar concepts to children that make particle physics accessible and enjoyable. The workshop explores the ability of young children to be imaginative and creative and exploits it to teach them the fundamentals of particle physics in a fun way. Most importantly, the workshop is effective in enthusing children to modern science and gives a wider understanding of how science works. The resources have been used in the Playing with Protons events for teachers at CERN, and have been translated in Greek and Italian.
2016-2017年,伯明翰大学和奥根信托基金会合作,为英国小学设计并试行了一个粒子物理研讨会。工作坊允许幼儿(8-11岁)学习基本粒子的世界,使用创意设计制作粒子模型,并创造性地学习粒子如何相互作用。根据从学校教师和传播者那里收到的反馈,审查和改进了最初的资源。2017-2020年在英国的许多小学进行了最后一次研讨会,得到了非常积极的评价和明确的影响证据。一批小学教师已接受培训,以讲授讲习班。专门为教师和教育工作者创建的资源已在大学网站上提供。尽管粒子物理学通常被认为是一门对小学来说过于困难和抽象的学科,但工作坊使用了孩子们熟悉的概念,使粒子物理学变得容易理解和愉快。该工作坊探索幼儿的想象力和创造力,并利用它以有趣的方式教他们粒子物理的基础知识。最重要的是,这个工作坊有效地激发了孩子们对现代科学的热情,并使他们更广泛地了解科学是如何运作的。这些资源已经在欧洲核子研究中心为教师举办的“质子游戏”活动中使用,并被翻译成希腊语和意大利语。
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引用次数: 2
Differentially rotating relativistic stars with post-merger-like rotational profiles 具有类似合并后旋转轮廓的差分旋转的相对论性恒星
Pub Date : 2021-02-22 DOI: 10.3390/ecu2021-09312
P. Iosif, N. Stergioulas
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引用次数: 0
Teaching Einsteinian gravity in Italian primary school 在意大利小学教授爱因斯坦引力
Pub Date : 2021-02-22 DOI: 10.3390/ecu2021-09319
Sara Mattiello, M. Ruggiero, M. Leone
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引用次数: 0
Lattice gravity and cosmology 点阵引力和宇宙学
Pub Date : 2021-02-22 DOI: 10.3390/ecu2021-09302
J. Bilski
The background-independent quantum gravity is the necessary framework to construct generally relativistic quantum field theory. By assuming the ADM decomposition of spacetime, it is possible to define the metric-independent Fock space for this formulation. This space, known as spin network, is invariant under the SU(2) symmetry and the spatial diffeomorphisms transformations. It is the Fock space for the model called loop quantum gravity in which the canonical operators are the quantized holonomies of the Ashtekar connection and the fluxes of densitized dreibein. I will present an improved construction of the lattice gravity and its gauge-fixed cosmological reduction based on the same lattice variables. The approach is based on the geometric expansion of holonomies into power series up to the quadratic order terms in the regularization parameter. As a result, a more accurate procedure is obtained in which the symmetry of holonomies assigned to links is directly reflected in the related distribution of connections. The application of the procedure to the Hamiltonian constraint regularization provides its lattice analog, the domain of which has a natural structure of elementary cells sum. In consequence, the related scalar constraint operator, which spectrum is independent of intertwiners, can be defined. The cosmological phase space reduction of lattice gravity requires rigorous application of gauge-fixing conditions that reduce the SU(2) symmetry and the spatial diffeomorphisms invariance. The internal symmetry is fixed to the Abelian case and the diffeomorphisms invariance is simultaneously reduced to spatial translations. The obtained Hamiltonian constraint is finite (without any cut-off introduction) and exact (without the holonomy expansion around short links). Furthermore, it has the expected form of the sum over elementary cuboidal cells. Finally, the simple structure of its homogeneities and anisotropies should allow to describe the quantum cosmological evolution of the Universe in terms of transition amplitudes, instead of using perturbative approximations.
与背景无关的量子引力是构建广义相对论量子场论的必要框架。通过假设时空的ADM分解,可以为该公式定义与度量无关的Fock空间。这个空间称为自旋网络,在SU(2)对称和空间微分同态变换下是不变的。它是环量子引力模型的Fock空间,其中正则算符是Ashtekar连接的量子化完整组和致密化dreibein的通量。我将提出一种改进的晶格引力构造及其基于相同晶格变量的量规固定宇宙学约简。该方法基于正则化参数中二次项的幂级数几何展开。结果得到了一个更精确的过程,其中连接的对称性直接反映在连接的相关分布上。将这一过程应用于哈密顿约束正则化,提供了它的晶格类比,其域具有初等元胞和的自然结构。因此,可以定义相关的标量约束算子,其谱与缠绕无关。晶格引力的宇宙学相空间约简需要严格地应用规范固定条件来降低SU(2)对称性和空间微分同态不变性。将内部对称性固定在阿贝尔情况下,同时将微分同胚不变性简化为空间平移。所得到的哈密顿约束是有限的(没有任何截断引入)和精确的(没有围绕短链的完整展开)。此外,它具有对初等立方单元求和的期望形式。最后,它的均匀性和各向异性的简单结构应该允许用跃迁幅度来描述宇宙的量子宇宙学演化,而不是使用摄动近似。
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引用次数: 0
Integrating Einsteinian physics in the year 7 Australian Science Curriculum: What are the challenges in design and implementation? 将爱因斯坦物理学融入澳大利亚七年级科学课程:设计和实施的挑战是什么?
Pub Date : 2021-02-22 DOI: 10.3390/ecu2021-09326
S. Boublil
Integrating Einsteinian physics into school curricula has become a challenge for researchers. This process involves choosingappropriate disciplinary knowledge to be accommodated in the curriculum and researching ways to illustrate how teachers can use this knowledgein their classrooms. The Einstein-first project research is centered on building a new curriculum on Einsteinian physics (space, time, geometry,gravity) in Western Australia and on teacher’s ability to embrace this modern paradigm and enhance their scientific and didactical knowledge.My research is designed to trial a learning progression of Einsteinian concepts within an overall curriculum structure for year 7. Manyconcepts related to Einstein’s theory of gravity will be included in association to the existing year 7 curriculum in Australia. I willidentify the primary challenges in design and implementation, which helps organize appropriate teacher professional learning to understandand teach Einsteinian physics concepts. A series of 14 physics lessons were developed for the Year 7 Science curriculum in Western Australia.The first three lessons introduce concepts of measurement, straight lines, Geometry, space (curved), time, nature of spacetime. The conceptof velocity, terminal velocity, acceleration, inertia and mass are then developed. Students then learn about Einstein’s conception of gravitythrough the analysis of free-falling bodies and thought experiments. They use the spacetime simulator to investigate topics of generalrelativity, the attractional force between masses and orbits in our Solar System. The learning progression ends with introducing black holesand gravitational waves.
将爱因斯坦物理学纳入学校课程已经成为研究人员面临的一个挑战。这个过程包括选择适合课程的学科知识,并研究如何说明教师如何在课堂上使用这些知识。“爱因斯坦优先”项目研究的重点是在西澳大利亚建立一个关于爱因斯坦物理学(空间、时间、几何、重力)的新课程,以及教师接受这一现代范式的能力,提高他们的科学和教学知识。我的研究旨在尝试在七年级的整体课程结构中学习爱因斯坦概念的进展。许多与爱因斯坦引力理论相关的概念将被纳入澳大利亚现有的七年级课程。我将确定设计和实现中的主要挑战,这有助于组织适当的教师专业学习来理解爱因斯坦的物理概念。西澳大利亚州为七年级科学课程开发了一系列14节物理课。前三节课介绍了测量、直线、几何、空间(弯曲)、时间、时空本质的概念。然后提出了速度、终速度、加速度、惯性和质量的概念。然后,学生们通过对自由落体的分析和思想实验来了解爱因斯坦的引力概念。他们使用时空模拟器来研究广义相对论的主题,即太阳系中质量和轨道之间的吸引力。学习过程以介绍黑洞和引力波结束。
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引用次数: 0
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Proceedings of 1st Electronic Conference on Universe
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