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Lyapunov exponents of scalar and spinor fields in the Schwarzschild spacetime
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作者 Jia-Jun Gu Meng-Ping Wen +3 位作者 Zhi-Yuan Liu Ze-Zheng Liu Nai-Yun Xiao Xi Luo 《Communications in Theoretical Physics》 2026年第1期104-111,共8页
A semiclassical particle moving near the horizon of a Schwarzschild black hole is chaotic,and its Lyapunov exponent saturates the chaos bound proposed by Maldacena,Shenker,and Stanford,with the temperature being the H... A semiclassical particle moving near the horizon of a Schwarzschild black hole is chaotic,and its Lyapunov exponent saturates the chaos bound proposed by Maldacena,Shenker,and Stanford,with the temperature being the Hawking temperature.Motivated by this,we consider the Lyapunov exponents of scalar and spinor fields in Schwarzschild spacetime by calculating their out-of-time-ordered commutators along the radial direction.Numerically,we find that the Lyapunov exponent of the scalar field is smaller than that of the spinor field.They are mainly contributed by the bound states near the horizon and lie below the chaos bound. 展开更多
关键词 out-of-time-ordered commutators Lyapunov exponent Schwarzschild spacetime maximal chaos bound HOLOGRAPHY
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Mapping the Light Atlas:A Phenomenological Parable on the Human Perception of Spacetime in the Anthropocene
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作者 Nicolas Vantis 《Philosophy Study》 2026年第2期172-182,共11页
What is spacetime?How do we perceive this medium?How can we fit it into our everyday linear lives?How can we situate ourselves within it in our post-industrial worldview,in an unsustainable world?This philosophical es... What is spacetime?How do we perceive this medium?How can we fit it into our everyday linear lives?How can we situate ourselves within it in our post-industrial worldview,in an unsustainable world?This philosophical essay adopts a phenomenological method to interrogate the meaning of this fundamental dimension of reality.Spacetime is interpreted not merely as a physical structure but as a plastic field whose instability shapes inner and social life.Yet the contemporary human condition is marked by a profound alienation,much of which derives from a self-inflicted existential disorientation:I once chose exile and moved to a remote island in the Atlantic Ocean,becoming my own research material.In search of genuine contact with nature,the nonverbal appeared as a necessity.I turned to music as an archetypal language,in the Romantic sense of a medium offering pre-conceptual access to the real.I composed Light Atlas,a six-movement work aiming to capture the flight of seagulls and the eternal struggle between light and darkness.This led me back to physics,to my original question:the lived perception of spacetime. 展开更多
关键词 PHENOMENOLOGY philosophy of physics spacetime perception philosophy of music ANTHROPOCENE
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Charge Quanta as Zeros of the Zeta Function in Bifurcated Spacetime
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作者 Otto Ziep 《Journal of Modern Physics》 2025年第2期249-262,共14页
In a fractal zeta universe of bifurcated, ripped spacetime, the Millikan experiment, the quantum Hall effect, atmospheric clouds and universe clouds are shown to be self-similar with mass ratio of about 1020. Chaotic ... In a fractal zeta universe of bifurcated, ripped spacetime, the Millikan experiment, the quantum Hall effect, atmospheric clouds and universe clouds are shown to be self-similar with mass ratio of about 1020. Chaotic one-dimensional period-doublings as iterated hyperelliptic-elliptic curves are used to explain n-dim Kepler- and Coulomb singularities. The cosmic microwave background and cosmic rays are explained as bifurcated, ripped spacetime tensile forces. First iterated binary tree cloud cycles are related to emissions 1…1000 GHz. An interaction-independent universal vacuum density allows to predict large area correlated cosmic rays in quantum Hall experiments which would generate local nuclear disintegration stars, enhanced damage of layers and enhanced air ionization. A self-similarity between conductivity plateau and atmospheric clouds is extended to correlations in atmospheric layer, global temperature and climate. 展开更多
关键词 Charge Quanta Zeta Function Cosmic Rays Cosmic Microwave Background Bifurcated spacetime
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An enhanced fingerprint template protection scheme based on four-dimensional superchaotic system and dynamic DNA coding
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作者 Baiqiang Hu Jiahui Liu Zhe Liu 《Chinese Physics B》 2025年第7期262-272,共11页
With the rapid development of Internet of things technology,the efficiency of data transmission between devices has been significantly improved.However,the open network environment also poses serious security risks.Th... With the rapid development of Internet of things technology,the efficiency of data transmission between devices has been significantly improved.However,the open network environment also poses serious security risks.This paper proposes an innovative fingerprint template protection scheme,which generates key streams through an improved fourdimensional superchaotic system(4CSCS),uses the space-filling property of Hilbert curves to achieve pixel scrambling,and introduces dynamic DNA encoding to improve encryption.Experimental results show that this scheme has a large key space 2^(528),encrypts image information entropy of more than 7.9970,and shows excellent performance in defending against statistical attacks and differential attacks.Compared with existing methods,this scheme has significant advantages in terms of encryption performance and security,and provides a reliable protection mechanism for fingerprint authentication systems in the Internet of things environment. 展开更多
关键词 four-dimensional superchaotic system fingerprint template protection Zernike moments image encryption
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Matching McVittie spacetimes
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作者 Jining Tang Yang Huang Hongsheng Zhang 《Communications in Theoretical Physics》 2025年第11期140-152,共13页
Gravitational collapse and bubble evolution in the asymptotic Friedmann–Lemaître–Robertson–Walker(FLRW)Universe is an intriguing and intricate problem.We systematically analyze the dynamics of contact Schwarzs... Gravitational collapse and bubble evolution in the asymptotic Friedmann–Lemaître–Robertson–Walker(FLRW)Universe is an intriguing and intricate problem.We systematically analyze the dynamics of contact Schwarzschild–FLRW(McVittie)spacetimes,focusing on their general junction conditions and introducing a novel function to simplify the extrinsic curvature and surface stress–energy tensor.Both static and dynamic scenarios are explored,including special cases such as Schwarzschild,FLRW,and Einstein–Straus configurations using our general framework.Numerical calculations further investigate the evolution of concentric McVittie spacetimes under various initial conditions,incorporatingΛ-CDM cosmological models to better reflect realistic cosmic backgrounds.These results offer deep insights into the interplay between the McVittie mass parameter,initial peculiar velocity,and the influence of dark energy,providing a unified perspective for understanding gravitational collapse and bubble evolution in cosmology and astrophysics. 展开更多
关键词 gravitational collapse McVittie spacetime bubble dynamics
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Gravitational lensing of the wormhole in the Eddington-inspired Born–Infeld spacetime with a cosmic string
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作者 Xin-Fei Li Lei-Hua Liu +2 位作者 Yan-Zhi Meng Shu-Qing Zhong Li-Juan Zhou 《Communications in Theoretical Physics》 2025年第12期110-118,共9页
In this work we study gravitational lensing of the wormhole in the Eddington-inspired Born–Infeld(EiBI)spacetime that incorporates with a cosmic string.It is found that the presence of a cosmic string can enhance the... In this work we study gravitational lensing of the wormhole in the Eddington-inspired Born–Infeld(EiBI)spacetime that incorporates with a cosmic string.It is found that the presence of a cosmic string can enhance the light deflection in the strong-field limit,compared to the Ellis–Bronnikov wormhole.The magnification effects of this composite structure could cause some substantial impacts on the angle separation between the first and the rest of the images,and their relative brightness.Furthermore,based on these observables,we model some observable aspects in the strong-and the weak-field limits.The presence of a cosmic string can affect some distinguishable observables compared to the wormhole without cosmic string.This work could deepen our understanding of the spacetime structure of the wormhole in EiBI spacetime with one-dimensional topological defects. 展开更多
关键词 cosmic string gravitational lensing Eddington-inspired Born-Infeld spacetime
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Promising four-dimensional flow magnetic resonance imaging technique for vascular flow analysis in children
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作者 Jian-She Yang 《World Journal of Radiology》 2025年第4期47-49,共3页
Leesmidt et al present a comprehensive analysis of abdominal vascular flow in children using four-dimensional(4D)flow magnetic resonance imaging(MRI),aim to establish normal hemodynamic values for the abdominal viscer... Leesmidt et al present a comprehensive analysis of abdominal vascular flow in children using four-dimensional(4D)flow magnetic resonance imaging(MRI),aim to establish normal hemodynamic values for the abdominal visceral organs and to assess the feasibility of 4D flow MRI(4D-f-MRI)in this population.The researchers performed 4D-f-MRI on 9 pediatric patients with a history or suspi-cion of bowel pathology.Flow velocities were measured in the abdominal aorta and superior and inferior mesenteric arteries.The quality of the 4D-f-MRI images was evaluated,and the agreement between the measured flow velocities and those obtained from Duplex ultrasound was established.However,due to the specific limitations of this work,future studies should address the issues of small sample size and the specific age group design. 展开更多
关键词 four-dimensional flow magnetic resonance imaging Hemodynamic values Imaging DIAGNOSIS Vascular flow
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Riemann solitons on imperfect fluid spacetimes
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作者 Shahroud Azami Uday Chand De 《Communications in Theoretical Physics》 2025年第11期103-113,共11页
This research paper seeks to investigate the characteristics of almost Riemann solitons and almost gradient Riemann solitons within the framework of generalized Robertson–Walker(GRW)spacetimes that incorporate imperf... This research paper seeks to investigate the characteristics of almost Riemann solitons and almost gradient Riemann solitons within the framework of generalized Robertson–Walker(GRW)spacetimes that incorporate imperfect fluids.Our study begins by defining specific properties of the potential vector field linked to these solitons.We examine the potential vector field of an almost Riemann soliton on GRW imperfect fluid spacetimes,establishing that it aligns collinearly with a unit timelike torse-forming vector field.This leads us to express the scalar curvature in relation to the structures of soliton and spacetime.Furthermore,we explore the characteristics of an almost gradient Riemann soliton with a potential functionψacross a range of GRW imperfect fluid spacetimes,deriving a formula for the Laplacian ofψ.We also categorize almost Riemann solitons on GRW imperfect fluid spacetimes into three types:shrinking,steady,and expanding,when the potential vector field of the soliton is Killing.We prove that a GRW imperfect fluid spacetime with constant scalar curvature and a Killing vector field admits an almost Riemann soliton.Additionally,we demonstrate that if the potential vector field of the almost Riemann soliton is aν(Ric)-vector,or if the GRW imperfect fluid spacetime is W_2-flat or pseudo-projectively flat,the resulting spacetime is classified as a dark fluid. 展开更多
关键词 Riemann solitons perfect fluid spacetimes general relativity
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Cultivating Innovation and Entrepreneurship Abilities in Vocational College Graduates Based on a“Three-Dimensional and Four-Dimensional”System-Taking Guangdong Vocational Institute of Public Administration as an Example
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作者 Zhongkun Wu Zhixiong Zhang 《Journal of Contemporary Educational Research》 2025年第9期339-348,共10页
Addressing the core weaknesses in the innovation and entrepreneurship capabilities of vocational college graduates,such as market insight and risk tolerance,as well as issues with the existing training model,including... Addressing the core weaknesses in the innovation and entrepreneurship capabilities of vocational college graduates,such as market insight and risk tolerance,as well as issues with the existing training model,including courses that are disconnected from industry,a lack of systematic practical training,and superficial school-enterprise cooperation,this paper constructs a“three-dimensional,four-dimensional”training system.The“three-dimensional”foundational framework encompasses three pillars:curriculum,general education layer,professional integration layer,practical application layer,practice as in three stages:introductory,simulated,and practical,and support including dual mentors,policies,and platforms.The“four-dimensional”differentiated strategies include four implementation pathways:professional differentiation,stage differentiation,addressing capability shortcomings,and school-government-industry collaboration.This system is grounded in theories such as multiple intelligences theory and systems theory,forming a closed-loop process of“theoretical input—practical application—support mechanisms”.Based on the practices of Guangdong Vocational Institute of Public Administration,the paper proposes a competency development pathway tailored by major and stage,which can effectively enhance the innovative and entrepreneurial core competencies of vocational college graduates.This provides a replicable systematic solution for vocational college innovative and entrepreneurial education,supporting vocational education reform and regional economic development. 展开更多
关键词 Three-dimensional and four-dimensional system Vocational college graduates Innovation and entrepreneurship capabilities Training pathways School-enterprise collaboration
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Second post-Newtonian motion in Simpson–Visser black-bounce spacetime
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作者 Bo Yang Chunhua Jiang Wenbin Lin 《Communications in Theoretical Physics》 2025年第9期72-80,共9页
In this paper,we present the second post-Newtonian solution for the quasi-Keplerian motion of a test particle in the regular Simpson–Visser black-bounce spacetime which has a bounce parameter a.The obtained solution ... In this paper,we present the second post-Newtonian solution for the quasi-Keplerian motion of a test particle in the regular Simpson–Visser black-bounce spacetime which has a bounce parameter a.The obtained solution is formulated in terms of orbital energy,angular momentum,and the bounce parameter of the black hole.We explicitly analyze the leading effects of the bounce parameter which has dimensions of length,on the test particle’s orbit,including the periastron advance and orbital period.Then,we apply this model to the precessing motion of OJ 287 and determine the upper limits of the dimensionless bounce parameter as a/m=3.45±0.01,where m is the mass of the regular black hole.Compared with the bound given by the periastron advance of star S2,our bound on a/m is reduced by one order of magnitude,although our upper limit of a still needs further improvement. 展开更多
关键词 Black holes Regular Simpson-Visser black-bounce spacetime Periastron advance
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Gravity Falls and Why the Fish Doesn’t Think: Nondeterministic Spacetime Ethics and a New Multiverse Aeon
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作者 Nicolas Vantis 《Philosophy Study》 2025年第2期91-100,共10页
Based on the Many Worlds Interpretation,I describe reality as a multilayer spacetime,where parallel layers play the role of alternative timelines.I link physics to ethics,arguing that one’s moral choices shape one’s... Based on the Many Worlds Interpretation,I describe reality as a multilayer spacetime,where parallel layers play the role of alternative timelines.I link physics to ethics,arguing that one’s moral choices shape one’s course in the multiverse.I consider one’s ethical decisions as decoherence events,leading to movement between alternative timelines,lighter(higher)or heavier(lower)realities.Sometimes in one’s curvilinear path in spacetime,one can even experience falling toward lower layers,slipping through wormholes.This theory supports free will and the simulation hypothesis.With this background,I explore the idea that a new theory of gravity might open new possibilities to shape matter and change our worldview through the invention of new technology,transforming information into waves and then into solid matter,paving the way for a new Multiverse Aeon for humanity. 展开更多
关键词 philosophy of physics DETERMINISM ETHICS GRAVITY relativistic spacetime Many Worlds Interpretation
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Multi-source information response characteristics of surrounding rock catastrophic instability in deep roadways with four-dimensional support
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作者 Pengfei Yan Zhanguo Ma +5 位作者 Hongbo Li Peng Gong Haihui Zhao Chuanchuan Cai Mingshuo Xu Tianqi She 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第11期7183-7207,共25页
As coal mining progresses to greater depths,controlling the stability of surrounding rock in deep roadways has become an increasingly complex challenge.Although four-dimensional(4D)support theoretically offers unique ... As coal mining progresses to greater depths,controlling the stability of surrounding rock in deep roadways has become an increasingly complex challenge.Although four-dimensional(4D)support theoretically offers unique advantages in maintaining the stability of rock mass,the disaster evolution processes and multi-source information response characteristics in deep roadways with 4D support remain unclear.Consequently,a large-scale physical model testing system and self-designed 4D support components were employed to conduct similarity model tests on the surrounding rock failure process under unsupported(U-1),traditional bolt-mesh-cable support(T-2),and 4D support(4D-R-3)conditions.Combined with multi-source monitoring techniques,including stress–strain,digital image correlation(DIC),acoustic emission(AE),microseismic(MS),parallel electric(PE),and electromagnetic radiation(EMR),the mechanical behavior and multi-source information responses were comprehensively analyzed.The results show that the peak stress and displacement of the models are positively correlated with the support strength.The multi-source information exhibits distinct response characteristics under different supports.The response frequency,energy,and fluctuationsof AE,MS,and EMR signals,along with the apparent resistivity(AR)high-resistivity zone,follow the trend U-1>T-2>4D-R-3.Furthermore,multi-source information exhibits significantdifferences in sensitivity across different phases.The AE,MS,and EMR signals exhibit active responses to rock mass activity at each phase.However,AR signals are only sensitive to the fracture propagation during the plastic yield and failure phases.In summary,the 4D support significantlyenhances the bearing capacity and plastic deformation of the models,while substantially reducing the frequency,energy,and fluctuationsof multi-source signals. 展开更多
关键词 Physical model Deep roadway four-dimensional(4D)support Multi-source monitoring information Catastrophic instability process
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Assessment of superior mesenteric vascular flow quantitation in children using four-dimensional flow magnetic resonance imaging:A feasibility study
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作者 Kantheera Leesmidt Parmede Vakil +3 位作者 Sofia Verstraete Amanda R Liu Rachelle Durand Jesse Courtier 《World Journal of Radiology》 2025年第2期21-27,共7页
BACKGROUND Four-dimensional(4D)flow magnetic resonance imaging(MRI)is used as a noninvasive modality for assessing hemodynamic information with neurovascular and body applications.The application of 4D flow MRI for as... BACKGROUND Four-dimensional(4D)flow magnetic resonance imaging(MRI)is used as a noninvasive modality for assessing hemodynamic information with neurovascular and body applications.The application of 4D flow MRI for assessment of bowel disease in children has not been previously described.AIM To determine feasibility of superior mesenteric venous and arterial flow quantitation in pediatric patients using 4D flow MRI.METHODS Nine pediatric patients(7-14 years old,5 male and 4 female)with history or suspicion of bowel pathology,who underwent magnetic resonance(MR)enterography with 4D flow MR protocol from November 2022 to October 2023.Field strength/sequence:3T MRI using 4D flow MR protocol.Flow velocity and peak speed measurements were performed by two diagnostic radiologists placing the region of interest in perpendicular plane to blood flow on each cross section of superior mesenteric artery(SMA)and superior mesenteric vein(SMV)at three predetermined levels.Bland-Altman analysis,showed good agreement of flow velocity and peak speed measurements of SMV and SMA between two readers.RESULTS Mean SMV flow velocity increased from proximal to mid to distal(0.14 L/minute,0.17 L/minute,0.22 L/minute respectively).Mean SMA flow velocity decreased from proximal to mid to distal(0.35 L/minute,0.27 L/minute,0.21 L/minute respectively).Observed agreement was good for flow velocity measurements of SMV(mean bias-0.01 L/minute and 95%limits of agreement,-0.09 to 0.08 L/minute)and SMA(mean bias-0.03 L/minute and 95%limits of agreement,-0.23 to 0.17 L/minute)between two readers.Good agreement for peak speed measurements of SMV(mean bias-1.2 cm/second and 95%limits of agreement,-9.4 to 7.0 cm/second)and SMA(mean bias-3.2 cm/second and 95%limits of agreement,-31.4 to 24.9 cm/second).CONCLUSION Flow quantitation using 4D Flow is feasible to provide hemodynamic information for SMV and SMA in children. 展开更多
关键词 four-dimensional flow magnetic resonance imaging Superior mesenteric artery Superior mesenteric vein Bowel disease Mesenteric vessel flow analysis
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Transforming pediatric imaging:The role of four-dimensional flow magnetic resonance imaging in quantifying mesenteric blood flow
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作者 Arvind Mukundan Devansh Gupta +1 位作者 Riya Karmakar Hsiang-Chen Wang 《World Journal of Radiology》 2025年第6期174-178,共5页
The article"Assessment of superior mesenteric vascular flow quantitation in children using four-dimensional flow magnetic resonance imaging"suggests to use of four-dimensional(4D)flow magnetic resonance imag... The article"Assessment of superior mesenteric vascular flow quantitation in children using four-dimensional flow magnetic resonance imaging"suggests to use of four-dimensional(4D)flow magnetic resonance imaging(MRI)which is also to measure the blood flow in the superior mesenteric vein(SMV)in pediatric patients over the traditional method.The study focuses on assessing the potential of SMV and superior mesenteric artery(SMA)flow quantification in children utilizing 4D flow MRI.It included 9 pediatric patients aged 18 years and below where 5 were male and 4 were female patients,on whom magnetic resonance enterorrhaphy(MRE)with 4D flow MRI protocol was used.Statistical analysis was performed using MedCalc.Measurements of SMV and SMA between two readers were calculated using Bland-Altman analysis.The results stated that six patients showed no MRE evidence of active inflammatory bowel disease,two patients showed unmarkable bowel appearance on MRI and one patient showed normal MRE without endoscopy performed at the same timeframe.The study utilized available 4D flow MRI sequences in this study aiming to show the feasibility of 4D flow quantitation of SMA and SMV flow in pediatric patients.The study also discovered good agreement for both peak velocity and peak speed measurements of SMA and SMV. 展开更多
关键词 Pediatric radiology four-dimensional flow magnetic resonance imaging Mesenteric vasculature Bowel disease HEMODYNAMICS Superior mesenteric artery Superior mesenteric vein Noninvasive imaging Feasibility study Socioeconomic impact
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Kerr Black Hole Geometry Leading to Dark Matter and Dark Energy via E-Infinity Theory and the Possibility of a Nano Spacetime Singularities Reactor 被引量:8
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作者 Mohamed S. El Naschie 《Natural Science》 2015年第4期210-225,共16页
The present paper is basically a synthesis resulting from incorporating Kerr spinning black hole geometry into E-infinity topology, then letting the result bares on the vacuum zero point Casimir effect as well as the ... The present paper is basically a synthesis resulting from incorporating Kerr spinning black hole geometry into E-infinity topology, then letting the result bares on the vacuum zero point Casimir effect as well as the cosmic dark energy and dark matter density. In E-infinity theory a quantum particle is represented by a Hausdorff dimension Φ where Φ =2/(√5+1) . The quantum wave on the other hand is represented by Φ2 . To be wave and a particle simultaneously intersection theory leads us to?(Φ) (Φ)2= Φ3 which will be shown here to be twice the value of the famous Casimir force of the vacuum for a massless scalar field. Thus in the present work a basically topological interpretation of the Casimir effect is given as a natural intrinsic property of the geometrical topological structure of the quantum-Cantorian micro spacetime. This new interpretation compliments the earlier conventional interpretation as vacuum fluctuation or as a Schwinger source and links the Casimir energy to the so called missing dark energy density of the cosmos. From the view point of the present work Casimir pressure is a local effect acting on the Casimir plates constituting the local boundary condition while dark energy is nothing but the global combined effect of infinitely many quantum waves acting on the M&#246bius-like boundary of the holographic boundary of the entire universe. Since this higher dimensional M&#246bius-like boundary is one sided, there is no outside to balance the internal collective Casimir pressure which then manifests itself as the force behind cosmic expansion, that is to say, dark energy. Thus analogous to the exact irrational value of ordinary energy density of spacetime E(O)=(Φ5/2) mc2 we now have P (Casimir) = (Φ3/2)(ch/d2) where c is the speed of light, m is the mass, h is the Planck constant and d is the plate separation. In addition the new emerging geometry combined with the topology of E-infinity theory leads directly to identifying dark matter with the quasi matter of the ergosphere. As a direct consequence of this new insight E=mc2 which can be written as E = E (O) + E (D)?where the exact rational approximation is E (O)=mc2/22 is?the ordinary energy density of the cosmos and the exact rational approximation E (D)=mc2/(21/22) is the corresponding dark energy which could be subdivided once more albeit truly approximately into E(D)=mc2/(5/22)?+mc2/(16/22)??where 5 is the Kaluza Klein spacetime dimension, 16 are the bosonic extra dimensions of Heterotic superstrings and 5/22 □?22% is approximately the density of the dark matter-like energy of the ergosphere of the Kerr geometry. As for the actual design of our nano reactor, this is closely related to branching clusters of polymer, frequently called lattice animals. In other words we will have Casimir spheres instead of Casimir plates and these spheres will be basically nano particles modelling lattice animals. Here D=?4 will be regarded as spacetime dimensionality while D=6 of percolations are the compactified super string dimensions and D=8 is the dimension of a corresponding super space. 展开更多
关键词 Casimir Effect Dark ENERGY E-INFINITY Cantorian spacetime Kerr spacetime GEOMETRY ENERGY from the Ergosphere Spinning Black Holes NANO spacetime Reactors Kaluza-Klein spacetime Heterotic SUPERSTRINGS
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Coupling Ensemble Kalman Filter with Four-dimensional Variational Data Assimilation 被引量:27
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作者 Fuqing ZHANG Meng ZHANG James A. HANSEN 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2009年第1期1-8,共8页
This study examines the performance of coupling the deterministic four-dimensional variational assimilation system (4DVAR) with an ensemble Kalman filter (EnKF) to produce a superior hybrid approach for data assim... This study examines the performance of coupling the deterministic four-dimensional variational assimilation system (4DVAR) with an ensemble Kalman filter (EnKF) to produce a superior hybrid approach for data assimilation. The coupled assimilation scheme (E4DVAR) benefits from using the state-dependent uncertainty provided by EnKF while taking advantage of 4DVAR in preventing filter divergence: the 4DVAR analysis produces posterior maximum likelihood solutions through minimization of a cost function about which the ensemble perturbations are transformed, and the resulting ensemble analysis can be propagated forward both for the next assimilation cycle and as a basis for ensemble forecasting. The feasibility and effectiveness of this coupled approach are demonstrated in an idealized model with simulated observations. It is found that the E4DVAR is capable of outperforming both 4DVAR and the EnKF under both perfect- and imperfect-model scenarios. The performance of the coupled scheme is also less sensitive to either the ensemble size or the assimilation window length than those for standard EnKF or 4DVAR implementations. 展开更多
关键词 data assimilation four-dimensional variational data assimilation ensemble Kalman filter Lorenz model hybrid method
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Four-dimensional Visual Analysis and Design Optimization of LC Filters at DC Side of Single-phase Diode Rectifiers 被引量:8
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作者 WU Jiaju WANG Zu'an +2 位作者 LIU Bin KUANG Qinglong HIDEHIKO Sugimoto 《中国电机工程学报》 EI CSCD 北大核心 2011年第36期I0006-I0006,241,共1页
The rectifier filter circuit is widely applied.However,it is difficult to gain a global solution for the optimization design.4-D visual analysis and design optimization of the single-phase uncontrolled bridge rectifie... The rectifier filter circuit is widely applied.However,it is difficult to gain a global solution for the optimization design.4-D visual analysis and design optimization of the single-phase uncontrolled bridge rectifier with an LC filter are presented in this paper. 展开更多
关键词 LC filter load capacity inrush four-dimensional visualization
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Testing a Four-Dimensional Variational Data Assimilation Method Using an Improved Intermediate Coupled Model for ENSO Analysis and Prediction 被引量:13
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作者 Chuan GAO Xinrong WU Rong-Hua ZHANG 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2016年第7期875-888,共14页
A four-dimensional variational (4D-Var) data assimilation method is implemented in an improved intermediate coupled model (ICM) of the tropical Pacific. A twin experiment is designed to evaluate the impact of the ... A four-dimensional variational (4D-Var) data assimilation method is implemented in an improved intermediate coupled model (ICM) of the tropical Pacific. A twin experiment is designed to evaluate the impact of the 4D-Var data assimilation algorithm on ENSO analysis and prediction based on the ICM. The model error is assumed to arise only from the parameter uncertainty. The "observation" of the SST anomaly, which is sampled from a "truth" model simulation that takes default parameter values and has Gaussian noise added, is directly assimilated into the assimilation model with its parameters set erroneously. Results show that 4D-Var effectively reduces the error of ENSO analysis and therefore improves the prediction skill of ENSO events compared with the non-assimilation case. These results provide a promising way for the ICM to achieve better real-time ENSO prediction. 展开更多
关键词 four-dimensional variational data assimilation intermediate coupled model twin experiment ENSO prediction
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The Emergence of Spacetime from the Quantum in Three Steps 被引量:5
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作者 Mohamed S. El Naschie 《Advances in Pure Mathematics》 2016年第6期446-454,共9页
The paper presents a very simple and straight forward yet pure mathematical derivation of the structure of actual spacetime from quantum set theory. This is achieved by utilizing elements of the topological theory of ... The paper presents a very simple and straight forward yet pure mathematical derivation of the structure of actual spacetime from quantum set theory. This is achieved by utilizing elements of the topological theory of cobordism and the Menger-Urysohn dimensional theory in conjunction with von Neumann-Connes dimensional function of Klein-Penrose modular holographic boundary of the E8E8 exceptional Lie group bulk of our universe. The final result is a lucid sharp mental picture, namely that the quantum wave is an empty set representing the surface, i.e. boundary of the zero set quantum particle and in turn quantum spacetime is simply the boundary or the surface of the quantum wave empty set. The essential difference of the quantum wave and quantum spacetime is that the wave is a simple empty set while spacetime is a multi-fractal type of infinitely many empty sets with increasing degrees of emptiness. 展开更多
关键词 Quantum spacetime Transfiite Theory Noncommutative Geometry ‘tHooft-Susskind Holography Cantorian spacetime Penrose-Connes Fractal Universe E-Infinity Theory E8 Exceptional Lie
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Exact Solution of a(2+1)-Dimensional Anisotropic Star in Finch and Skea Spacetime 被引量:1
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作者 Piyali Bhar Farook Rahaman +1 位作者 Ritabrata Biswas Hafiza Ismat Fatima 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第8期221-226,共6页
We provide a new class of interior solution of a(2+1)-dimensional anisotropic star in Finch and Skea spacetime corresponding to the BTZ black hole. We develop the model by considering the MIT bag model EOS and a parti... We provide a new class of interior solution of a(2+1)-dimensional anisotropic star in Finch and Skea spacetime corresponding to the BTZ black hole. We develop the model by considering the MIT bag model EOS and a particular ansatz for the metric function grrproposed by Finch and Skea [M.R. Finch and J.E.F. Skea, Class. Quantum.Grav. 6(1989) 467]. Our model is free from central singularity and satisfies all the physical requirements for the acceptability of the model. 展开更多
关键词 (2+1)-dimensional ANISOTROPIC STAR Finch and Skea spacetime
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