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Einstein Probe Offers Unique Opportunities for Observation and Research on X-ray Cosmos
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作者 SONG Jianan 《Bulletin of the Chinese Academy of Sciences》 2025年第1期26-29,共4页
Awell-anticipated wide-field X-ray focusing imager,the Einstein Probe(EP,also named“Tianguan”in Chinese)has caught the eye of astronomers since its launch in January 2024.Initiated and sponsored by the Chinese Acade... Awell-anticipated wide-field X-ray focusing imager,the Einstein Probe(EP,also named“Tianguan”in Chinese)has caught the eye of astronomers since its launch in January 2024.Initiated and sponsored by the Chinese Academy of Sciences(CAS),and developed in cooperation with the European Space Agency(ESA). 展开更多
关键词 Chinese Academy Sciences Wide field X ray Focusing Imager X ray Cosmos einstein Probe ASTRONOMERS European Space Agency einstein probe epalso
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Einstein河流动床阻力公式的剖析和修正
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作者 师翠香 张红武 +1 位作者 刘晓民 卜海磊 《人民黄河》 北大核心 2025年第11期41-49,59,共10页
动床阻力研究是河流动力学中的重要课题,在回顾河流动床阻力研究现状的基础上,剖析了Einstein H A(以下简称Einstein)河流动床阻力公式存在的问题;一是原经验曲线未涵盖高能态区范围;二是试算的黄河沙粒水力半径约30%大于实测水深,导致... 动床阻力研究是河流动力学中的重要课题,在回顾河流动床阻力研究现状的基础上,剖析了Einstein H A(以下简称Einstein)河流动床阻力公式存在的问题;一是原经验曲线未涵盖高能态区范围;二是试算的黄河沙粒水力半径约30%大于实测水深,导致按水力半径分割定义式求出的沙波水力半径为负值的物理悖论。通过黄河实测数据补充点群范围,外延曲线且拟合出关系式。利用实测资料计算分析Einstein动床阻力公式适用性,表明国外河流沙波水力半径未出现负值且水力参数大于0.3时适用,适当修正初步适用于黄河下游。引入张红武河床纵向稳定指标关系式求河床比降替代实测水面比降,在降低沙波水力半径负值率的前提下提高了公式验证精度,表明Einstein河流动床阻力公式经过修正后,适用于黄河下游相关计算。 展开更多
关键词 动床阻力 einstein公式 水力半径 比降 黄河下游
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The Spectral Einstein Functional and the Noncommutative Residue for Manifolds with Boundary
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作者 WU Tong WANG Yong 《数学进展》 北大核心 2025年第1期187-196,共10页
In this paper,we define the spectral Einstein functional associated with the Dirac operator for manifolds with boundary.And we give the proof of Kastler-Kalau-Walze type theorem for the spectral Einstein functional as... In this paper,we define the spectral Einstein functional associated with the Dirac operator for manifolds with boundary.And we give the proof of Kastler-Kalau-Walze type theorem for the spectral Einstein functional associated with the Dirac operator on 4-dimensional manifolds with boundary. 展开更多
关键词 spectral einstein functional Dirac operator Kastler–Kalau–Walze type theorem
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Einstein Toolkit在相对论教学中的应用与实践
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作者 苏萍 乔琛凯 李正东 《大学物理实验》 2025年第1期113-116,共4页
为克服相对论和引力波的抽象性和复杂性带来的教学困难,一种基于数值相对论软件Einstein Toolkit的可视化教学方法,可辅助大学物理课程中的相对论和引力波教学。通过模拟双黑洞合并过程并展示其释放的引力波,这一方法显著提升了学生对... 为克服相对论和引力波的抽象性和复杂性带来的教学困难,一种基于数值相对论软件Einstein Toolkit的可视化教学方法,可辅助大学物理课程中的相对论和引力波教学。通过模拟双黑洞合并过程并展示其释放的引力波,这一方法显著提升了学生对复杂物理概念的理解,并增强了他们的学习积极性和科学探究精神。Einstein Toolkit的高精度数值模拟使学生能够直观地观察到双黑洞合并的动态变化和引力波的产生,有效培养了学生的科学素养和实践能力。 展开更多
关键词 einstein Toolkit 相对论 引力波 可视化
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Distributional scalar curvature and Einstein metrics
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作者 ZHANG Huai-yu ZHANG Jiang-wei 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第2期458-479,共22页
In this paper,we study scalar curvature rigidity of non-smooth metrics on smooth manifolds with non-positive Yamabe invariant.We prove that if the scalar curvature is not less than the Yamabe invariant in the distribu... In this paper,we study scalar curvature rigidity of non-smooth metrics on smooth manifolds with non-positive Yamabe invariant.We prove that if the scalar curvature is not less than the Yamabe invariant in the distributional sense,then the manifold must be isometric to an Einstein manifold.This result extends Theorem 1.4 in Jiang,Sheng and Zhang[27],from a special case where the manifolds have zero Yamabe invariant to general cases where the manifolds have non-positive Yamabe invariant. 展开更多
关键词 scalar curvature einstein metric Yamabe invariant
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Messenger from the Early Universe-Einstein Probe Fuels New Hope for High-redshift GRB Observations
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作者 SONG Jianlan 《Bulletin of the Chinese Academy of Sciences》 2025年第1期51-54,共4页
A team of researchers from the Beijing Normal University,the Institute of High Energy Physics(IHEP)under the Chinese Academy of Sciences(CAS),and the National Astronomical Observatories,CAS(NAOC),reported in Nature As... A team of researchers from the Beijing Normal University,the Institute of High Energy Physics(IHEP)under the Chinese Academy of Sciences(CAS),and the National Astronomical Observatories,CAS(NAOC),reported in Nature Astronomy on January 23,2025 their discovery of an X-ray flash about 12.5 billion lightyears away.The signals burst out only 1.2 billion years after the Big Bang,when our 13.8-billion-year-old universe was still in its infancy,and a science satellite swiftly recorded them. 展开更多
关键词 science satellite big bangwhen early universe high energy physics ihep MESSENGER einstein probe high redshift grb big bang
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Stokes–Einstein–Debye relation in TIP5P water
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作者 Gan Ren 《Chinese Physics B》 2025年第2期372-376,共5页
The Stokes–Einstein–Debye(SED) relation in TIP5P water is tested with the original formula and its variants within the temperature range 240–390 K. The results indicate that although the variants explicitly break d... The Stokes–Einstein–Debye(SED) relation in TIP5P water is tested with the original formula and its variants within the temperature range 240–390 K. The results indicate that although the variants explicitly break down, the original SED relation is almost valid. Compared with the Stokes–Einstein relation, no explicit decoupling is observed in translational and rotational motion. Variation of the effective hydrodynamic radius is critical to testing the validity of the SED relation. 展开更多
关键词 Stokes–einstein–Debye relation TIP5P water effective hydrodynamic radius Stokes'formula
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Vortex Solitons in Atomic-Molecular Bose-Einstein Condensates with a Square-Optical-Lattice Potential
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作者 Yuan Zhao Wan Liu +5 位作者 Linjia Wang Zhuo Fan Qin Zhou Boris A.Malomed Shunfang Chen Siliu Xu 《Chinese Physics Letters》 2025年第9期7-13,共7页
We propose a theoretical framework,based on the two-component Gross-Pitaevskii equation(GPE),for the investigation of vortex solitons(VSs)in hybrid atomic-molecular Bose-Einstein condensates under the action of the st... We propose a theoretical framework,based on the two-component Gross-Pitaevskii equation(GPE),for the investigation of vortex solitons(VSs)in hybrid atomic-molecular Bose-Einstein condensates under the action of the stimulated Raman-induced photoassociation and square-optical-lattice potential.Stationary solutions of the coupled GPE system are obtained by means of the imaginary-time integration,while the temporal dynamics are simulated using the fourth-order Runge-Kutta algorithm.The analysis reveals stable rhombus-shaped VS shapes with topological charges m=1 and 2 of the atomic component.The stability domains and spatial structure of these VSs are governed by three key parameters:the parametric-coupling strength(χ),atomicmolecular interaction strength(g_(12)),and the optical-lattice potential depth(V_(0)).By varyingχand g_(12),we demonstrate a structural transition where four-core rhombus-shaped VSs evolve into eight-core square-shaped modes,highlighting the nontrivial nonlinear dynamics of the system.This work establishes a connection between interactions of cold atoms and topologically structured matter waves in hybrid quantum systems. 展开更多
关键词 atomic molecular Bose einstein condensates vortex solitons fourth order Runge Kutta algorithm Gross Pitaevskii equation imaginary time integration square optical lattice potential vortex solitons vss temporal dynamics
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Dynamics of Ring Dark Solitons and the Following Vortices in Spin-1 Bose–Einstein Condensates 被引量:1
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作者 钟毓 Houria Triki 周勤 《Chinese Physics Letters》 SCIE EI CAS CSCD 2024年第7期18-26,共9页
This work focuses on the evolution behaviors of ring dark solitons(RDSs) and the following vortices after the collapses of RDSs in spin-1 Bose–Einstein condensates. We find that the weighted average of the initial de... This work focuses on the evolution behaviors of ring dark solitons(RDSs) and the following vortices after the collapses of RDSs in spin-1 Bose–Einstein condensates. We find that the weighted average of the initial depths of three components determines the number and motion trajectories of vortex dipoles. For the weighted average of the initial depths below the critical depth, two vortex dipoles form and start moving along the horizontal axis.For the weighted average depth above the critical depth, two or four vortex dipoles form, and all start moving along the vertical axis. For the RDS with weighted average depth at exactly the critical point, four vortex dipoles form, half of the vortex dipoles initiate movement vertically, and the other half initiate movement horizontally.Our conclusion is applicable to the two-component system studied in earlier research, indicating its universality. 展开更多
关键词 VORTEX DIPOLE einstein
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Einstein-Bumblebee引力理论中的Kerr-Sen-like黑洞玻色子隧穿辐射
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作者 谭霞 杨树政 《物理学报》 SCIE EI CAS CSCD 北大核心 2024年第4期60-68,共9页
Lorentz-breaking理论不仅对弯曲时空背景有影响,而且对于在弯曲时空中的玻色子和费米子的动力学方程都有一定的修正.因此,我们需要在不同的黑洞时空中对玻色子和费米子的量子隧穿辐射进行适当的修正.从而得到经过Lorentz-breaking理论... Lorentz-breaking理论不仅对弯曲时空背景有影响,而且对于在弯曲时空中的玻色子和费米子的动力学方程都有一定的修正.因此,我们需要在不同的黑洞时空中对玻色子和费米子的量子隧穿辐射进行适当的修正.从而得到经过Lorentz-breaking理论修正后的黑洞Hawking温度等物理量的新表达式及其物理意义.本文根据Einstein-Bumblebee引力理论中得到的Kerr-Sen-like(KSL)黑洞时空度规,在标量场作用量中引入aether-like场矢量修正项和弯曲时空中的d’Alembert算符并应用弯曲时空中的变分原理,研究了此时空度规中的Lorentz-breaking修正项及KSL时空中自旋为零的含有Lorentz-breaking修正项的玻色子动力学方程的新形式.通过正确选择与KSL时空度规相对应的aether-like场矢量,求解修正的玻色子动力学方程,得到了修正的量子隧穿率,并在此基础上研究了含有Lorentz-breaking修正项的此黑洞的Hawking温度和Bekenstein-Hawking熵.此外,还研究了Lorentz-breaking效应对玻色子正、负能级分布及其能级交错的最大值的影响,从而得出此黑洞时空中的量子非热辐射的条件.最后对所得到的一系列结果的物理意义进行了深入的讨论. 展开更多
关键词 Lorentz-breaking einstein-Bumblebee引力理论 Kerr-Sen-like黑洞 Bekenstein-Hawking熵
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基于Einstein算子的直觉模糊值相似度及其在聚类中的应用
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作者 姜晓微 陈子春 李林语 《四川师范大学学报(自然科学版)》 CAS 2024年第4期528-536,共9页
基于直觉模糊等价矩阵聚类的关键在于合理构建样本之间的直觉模糊值相似度,这种相似度是有2个分量的二元形式,其中一个分量代表着2个对象之间的相似程度,另一个代表非相似程度.提出一种基于Einstein算子的直觉模糊值相似度构造方法并将... 基于直觉模糊等价矩阵聚类的关键在于合理构建样本之间的直觉模糊值相似度,这种相似度是有2个分量的二元形式,其中一个分量代表着2个对象之间的相似程度,另一个代表非相似程度.提出一种基于Einstein算子的直觉模糊值相似度构造方法并将其应用到聚类分析.首先,给出Einstein算子诱导的直觉模糊剩余蕴含,并通过聚合直觉模糊剩余蕴含得到直觉模糊值相似度;然后,利用这种直觉模糊值相似度构建直觉模糊相似矩阵,并通过直觉模糊相似矩阵的合成运算得到直觉模糊等价矩阵,进而给出直觉模糊聚类算法;最后,通过算例对该方法进行说明和分析. 展开更多
关键词 直觉模糊集 einstein算子 直觉模糊值相似度 模糊聚类
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Exciton Bose–Einstein Condensation in Transition Metal Dichalcogenide Monolayer under In-Plane Magnetic Fields
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作者 Dengfeng Wang Yingda Chen +2 位作者 Zhi-Chuan Niu Wen-Kai Lou Kai Chang 《Chinese Physics Letters》 SCIE EI CAS CSCD 2024年第8期69-76,共8页
Based on the Gross–Pitaevskii equation,we theoretically investigate exciton Bose–Einstein condensation(BEC)in transition metal dichalcogenide monolayers(TMDC-MLs)under in-plane magnetic fields.We observe that the in... Based on the Gross–Pitaevskii equation,we theoretically investigate exciton Bose–Einstein condensation(BEC)in transition metal dichalcogenide monolayers(TMDC-MLs)under in-plane magnetic fields.We observe that the in-plane magnetic fields exert a strong influence on the exciton BEC wave functions in TMDC-MLs because of the mixing of the bright and dark exciton states via Zeeman effect.This leads to the brightening of the dark exciton BEC states.The competition between the dipole–dipole interactions caused by the long-range Coulomb interaction and the Zeeman effect induced by the in-plane magnetic fields can effectively regulate dark exciton BEC states.Our findings emphasize the utility of TMD-MLs as platforms for investigating collective phenomenon involving excited states. 展开更多
关键词 effect einstein DIPOLE
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Maxwell Demon and Einstein–Podolsky–Rosen Steering
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作者 胡孟军 胡晓敏 张永生 《Chinese Physics Letters》 SCIE EI CAS CSCD 2024年第5期12-16,共5页
Research of Maxwell demon and quantum entanglement is important because of its foundational significance in physics and its potential applications in quantum information. Previous studies on the Maxwell demon have pri... Research of Maxwell demon and quantum entanglement is important because of its foundational significance in physics and its potential applications in quantum information. Previous studies on the Maxwell demon have primarily focused on thermodynamics, taking into account quantum correlations. Here we consider from another perspective and ask whether quantum non-locality correlations can be simulated by performing work. The Maxwell demon-assisted Einstein–Podolsky–Rosen(EPR) steering is thus proposed, which implies a new type of loophole. The application of Landauer's erasure principle suggests that the only way to close this loophole during a steering task is by continuously monitoring the heat fluctuation of the local environment by the participant.We construct a quantum circuit model of Maxwell demon-assisted EPR steering, which can be demonstrated by current programmable quantum processors, such as superconducting quantum computers. Based on this quantum circuit model, we obtain a quantitative formula describing the relationship between energy dissipation due to the work of the demon and quantum non-locality correlation. The result is of great physical interest because it provides a new way to explore and understand the relationship between quantum non-locality, information, and thermodynamics. 展开更多
关键词 QUANTUM MAXWELL einstein
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Rydberg-Induced Topological Solitons in Three-Dimensional Rotation Spin–Orbit-Coupled Bose–Einstein Condensates
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作者 Yang Wang Jinlong Cui +3 位作者 Hongkai Zhang Yuan Zhao Siliu Xu Qin Zhou 《Chinese Physics Letters》 SCIE EI CAS CSCD 2024年第9期9-14,共6页
We present a novel approach for generating stable three-dimensional(3D)spatiotemporal solitons(SSs)within a rotating Bose–Einstein condensate,incorporating spin–orbit coupling(SOC),a weakly anharmonic potential and ... We present a novel approach for generating stable three-dimensional(3D)spatiotemporal solitons(SSs)within a rotating Bose–Einstein condensate,incorporating spin–orbit coupling(SOC),a weakly anharmonic potential and cold Rydberg atoms.This intricate system facilitates the emergence of quasi-stable 3D SSs with topological charges|m|≤3 in two spinor components,potentially exhibiting diverse spatial configurations.Our findings reveal that the Rydberg long-range interaction,spin–orbit coupling,and rotational angular frequency exert significant influence on the domains of existence and stability of these solitons.Notably,the Rydberg interaction contributes to a reduction in the norm of topological solitons,while the SOC plays a key role in stabilizing the SSs with finite topological charges.This research of SSs exhibits potential applications in precision measurement,quantum information processing,and other advanced technologies. 展开更多
关键词 RYDBERG TOPOLOGICAL einstein
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Dissipation-Driven Superradiant Phase Transition of a Two-Dimensional Bose-Einstein Condensate in a Double Cavity
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作者 Bo-Hao Wu Xin-Xin Yang +1 位作者 Yu Chen Wei Zhang 《Chinese Physics Letters》 SCIE EI CAS CSCD 2024年第6期44-48,共5页
We study superradiant phase transitions in a hybrid system of a two-dimensional Bose–Einstein condensate of atoms and two cavities arranged with a tilt angle.By adjusting the loss rate of cavities,we map out the phas... We study superradiant phase transitions in a hybrid system of a two-dimensional Bose–Einstein condensate of atoms and two cavities arranged with a tilt angle.By adjusting the loss rate of cavities,we map out the phase diagram of steady states within a mean field framework.It is found that when the loss rates of the two cavities are different,superradiant transitions may not occur at the same time in the two cavities.A first-order phase transition is observed between the states with only one cavity in superradiance and both in superradiance.In the case that both cavities are superradiant,a net photon current is observed flowing from the cavity with small decay rate to the one with large decay rate.The photon current shows a non-monotonic dependence on the loss rate difference,owing to the competition of photon number difference and cavity field phase difference.Our findings can be realized and detected in experiments. 展开更多
关键词 einstein TRANSITIONS DECAY
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Proposal for a realtime Einstein-synchronization-defined satellite virtual clock
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作者 严晨皓 汤雪逸 +4 位作者 王时光 孟李皎悦 孙海媛 何奕彬 王力军 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第7期268-276,共9页
Realization of high performance satellite onboard clock is vital for various positioning, navigation, and timing applications. For further improvement of the synchronization-based satellite time and frequency referenc... Realization of high performance satellite onboard clock is vital for various positioning, navigation, and timing applications. For further improvement of the synchronization-based satellite time and frequency references, we propose a geosynchronous(GEO) satellite virtual clock concept based on ground–satellite synchronization and present a beacon transponder structure for its implementation(scheduled for launch in 2025), which does not require atomic clocks to be mounted on the satellite. Its high performance relies only on minor modifications to the existing transponder structure of GEO satellites. We carefully model the carrier phase link and analyze the factors causing link asymmetry within the special relativity. Considering that performance of such synchronization-based satellite clocks is primarily limited by the link's random phase noise, which cannot be adequately modeled, we design a closed-loop experiment based on commercial GEO satellites for pre-evaluation. This experiment aims at extracting the zero-means random part of the ground-satellite Ku-band carrier phase via a feedback loop. Ultimately, we obtain a 1σ value of 0.633 ps(two-way link), following the Gaussian distribution. From this result, we conclude that the proposed real-time Einstein-synchronization-defined satellite virtual clock can achieve picosecond-level replication of onboard time and frequency. 展开更多
关键词 einstein synchronization satellite virtual clock geosynchronous satellite carrier phase
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Kármán vortex street in a spin–orbit-coupled Bose–Einstein condensate with PT symmetry
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作者 邵凯花 席保龙 +5 位作者 席忠红 涂朴 王青青 马金萍 赵茜 石玉仁 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第6期289-296,共8页
The dynamics of spin–orbit-coupled Bose–Einstein condensate with parity-time symmetry through a moving obstacle potential is simulated numerically. In the miscible two-component condensate, the formation of the K... The dynamics of spin–orbit-coupled Bose–Einstein condensate with parity-time symmetry through a moving obstacle potential is simulated numerically. In the miscible two-component condensate, the formation of the Kármán vortex street is observed in one component, while ‘the half-quantum vortex street' is observed in the other component. Other patterns of vortex shedding, such as oblique vortex dipoles, V-shaped vortex pairs, irregular turbulence, and combined modes of various wakes, can also be found. The ratio of inter-vortex spacing in one row to the distance between vortex rows is approximately0.18, which is less than the stability condition 0.28 of classical fluid. The drag force acting on the obstacle potential is simulated. The parametric regions of Kármán vortex street and other vortex patterns are calculated. The range of Kármán vortex street is surrounded by the region of combined modes. In addition, spin–orbit coupling disrupts the symmetry of the system and the gain-loss affects the local particle distribution of the system, which leads to the local symmetry breaking of the system, and finally influences the stability of the Kármán vortex street. Finally, we propose an experimental protocol to realize the Kármán vortex street in a system. 展开更多
关键词 Kármán vortex street Bose–einstein condensate spin–orbit-coupled parity-time symmetry
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Solving the Olbers’s Paradox, Explaining the “Red-Shift”, and Challenging the Relativities by “Sun Matters Theory” and “Sun Model of Universe”, an Evolution of the Einstein’s Static Universe Model
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作者 Wanpeng Sun 《Natural Science》 2024年第2期7-18,共12页
Olbers’s paradox, known as the dark night paradox, is an argument in astrophysics that the darkness of the night sky conflicts with the assumption of an infinite and eternal static universe. Big-Bang theory was used ... Olbers’s paradox, known as the dark night paradox, is an argument in astrophysics that the darkness of the night sky conflicts with the assumption of an infinite and eternal static universe. Big-Bang theory was used to partially explain this paradox, while introducing new problems. Hereby, we propose a better theory, named Sun Matters Theory, to explain this paradox. Moreover, this unique theory supports and extended the Einstein’s static universe model proposed by Albert Einstein in 1917. Further, we proposed our new universe model, “Sun Model of Universe”. Based on the new model and novel theory, we generated innovative field equation by upgrading Einstein’s Field Equation through adding back the cosmological constant, introducing a new variable and modifying the gravitationally-related concepts. According to the Sun Model of Universe, the dark matter and dark energy comprise the so-called “Sun Matters”. The observed phenomenon like the red shift is explained as due to the interaction of ordinary light with Sun Matters leading to its energy and frequency decrease. In Sun Model, our big universe consists of many universes with ordinary matter at the core mixed and surrounded with the Sun Matters. In those universes, the laws of physics may be completely or partially different from that of our ordinary universe with parallel civilizations. The darkness of night can be easily explained as resulting from the interaction of light with the Sun Matters leading to the sharp decrease in the light intensity. Sun Matters also scatter the light from a star, which makes it shining as observed by Hubble. Further, there is a kind of Sun Matters named “Sun Waters”, surrounding every starts. When lights pass by the sun, the Sun Waters deflect the lights to bend the light path. According to the Sun Model, it is the light bent not the space bent that was proposed in the theory of relativities. 展开更多
关键词 Olbers’s Paradox Sun Matters Theory Sun Model of Universe einstein’s Universe Dark Mass
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On the Implementation of the Method of Derivation of Lorentz Transformations Used by Einstein
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作者 Sergei Ponomarev 《Journal of Modern Physics》 2024年第12期2007-2012,共6页
The Lorentz transformations are the mathematical basis of Einstein’s theory of special relativity. We conduct a thorough examination of the method of derivation of the Lorentz transformations used by Einstein and ide... The Lorentz transformations are the mathematical basis of Einstein’s theory of special relativity. We conduct a thorough examination of the method of derivation of the Lorentz transformations used by Einstein and identify the cause of the incorrect implementation of the method. The cause is related to the incorrect proof of the equality φ(v)=1for the unknown function φ(v)arising in the process of derivation of the Lorentz transformations. We develop proof of the equality φ(v)=1and eliminate the cause of the incorrect implementation of the method of derivation of the Lorentz transformations used by Einstein. 展开更多
关键词 einstein Lorentz Transformations MASS Energy LAGRANGIAN
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复Einstein-Finsler双扭曲积度量 被引量:1
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作者 何勇 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2017年第2期216-219,共4页
设F是强拟凸的复Finsler度量F_1和F_2的双扭曲积.给出了F是复Einstein-Finsler度量的充分必要条件,并在F是一个广义复Einstein-Finsler度量的条件下,证明了它的全纯曲率恒为零.
关键词 双扭曲积 einstein-Finsler度量 广义复einstein-Finsler度量
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