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Hubble Tension Explanation from This Cosmological Model AΛΩ (Slow Bang Model, SB)
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作者 Jean Perron 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2024年第1期106-125,共20页
In this article we present a model of Hubble-Lemaître law using the notions of a transmitter (galaxy) and a receiver (MW) coupled to a model of the universe (Slow Bang Model, SB), based on a quantum approach of t... In this article we present a model of Hubble-Lemaître law using the notions of a transmitter (galaxy) and a receiver (MW) coupled to a model of the universe (Slow Bang Model, SB), based on a quantum approach of the evolution of space-time as well as an equation of state that retains all the infinitesimal terms. We find an explanation of the Hubble tension H<sub>0</sub>. Indeed, we have seen that this constant depends on the transceiver pair which can vary from the lowest observable value, from photons of the CMB (theoretical [km/s/Mpc]) to increasingly higher values depending on the earlier origin of the formation of the observed galaxy or cluster (ETG ~0.3 [Gy], ~74 [km/s/Mpc]). We have produced a theoretical table of the values of the constant according to the possible pairs of transmitter/receiver in the case where these galaxies follow the Hubble flow without large disturbance. The calculated theoretical values of the constant are in the order of magnitude of all values mentioned in past studies. Subsequently, we applied the models to 9 galaxies and COMA cluster and found that the models predict acceptable values of their distances and Hubble constant since these galaxies mainly follow the Hubble flow rather than the effects of a galaxy cluster or a group of clusters. In conclusion, we affirm that this Hubble tension does not really exist and it is rather the understanding of the meaning of this constant that is questioned. 展开更多
关键词 Model of the Universe Cosmological Constant hubble Constant hubbles Tension hubble-Lemaître law hubbles Flow
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A Spectral Convolutional Neural Network Model Based on Adaptive Fick’s Law for Hyperspectral Image Classification
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作者 Tsu-Yang Wu Haonan Li +1 位作者 Saru Kumari Chien-Ming Chen 《Computers, Materials & Continua》 SCIE EI 2024年第4期19-46,共28页
Hyperspectral image classification stands as a pivotal task within the field of remote sensing,yet achieving highprecision classification remains a significant challenge.In response to this challenge,a Spectral Convol... Hyperspectral image classification stands as a pivotal task within the field of remote sensing,yet achieving highprecision classification remains a significant challenge.In response to this challenge,a Spectral Convolutional Neural Network model based on Adaptive Fick’s Law Algorithm(AFLA-SCNN)is proposed.The Adaptive Fick’s Law Algorithm(AFLA)constitutes a novel metaheuristic algorithm introduced herein,encompassing three new strategies:Adaptive weight factor,Gaussian mutation,and probability update policy.With adaptive weight factor,the algorithmcan adjust theweights according to the change in the number of iterations to improve the performance of the algorithm.Gaussianmutation helps the algorithm avoid falling into local optimal solutions and improves the searchability of the algorithm.The probability update strategy helps to improve the exploitability and adaptability of the algorithm.Within the AFLA-SCNN model,AFLA is employed to optimize two hyperparameters in the SCNN model,namely,“numEpochs”and“miniBatchSize”,to attain their optimal values.AFLA’s performance is initially validated across 28 functions in 10D,30D,and 50D for CEC2013 and 29 functions in 10D,30D,and 50D for CEC2017.Experimental results indicate AFLA’s marked performance superiority over nine other prominent optimization algorithms.Subsequently,the AFLA-SCNN model was compared with the Spectral Convolutional Neural Network model based on Fick’s Law Algorithm(FLA-SCNN),Spectral Convolutional Neural Network model based on Harris Hawks Optimization(HHO-SCNN),Spectral Convolutional Neural Network model based onDifferential Evolution(DE-SCNN),SpectralConvolutionalNeuralNetwork(SCNN)model,and SupportVector Machines(SVM)model using the Indian Pines dataset and PaviaUniversity dataset.The experimental results show that the AFLA-SCNN model outperforms other models in terms of Accuracy,Precision,Recall,and F1-score on Indian Pines and Pavia University.Among them,the Accuracy of the AFLA-SCNN model on Indian Pines reached 99.875%,and the Accuracy on PaviaUniversity reached 98.022%.In conclusion,our proposed AFLA-SCNN model is deemed to significantly enhance the precision of hyperspectral image classification. 展开更多
关键词 Adaptive Fick’s law algorithm spectral convolutional neural network metaheuristic algorithm intelligent optimization algorithm hyperspectral image classification
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Proof of Hubble’s Law and the Truth about the Expansion of the Universe as Well as Dark Matter and Dark Energy
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作者 ZHONG Cuixiang CHEN Jiansheng 《Journal of Physical Science and Application》 2018年第1期13-22,共10页
In 1929,American astronomer Hubble first discovered that the recessional velocity of a galaxy increases with its distance from the earth,and therefore put forward Hubble’s law.It is considered the first observational... In 1929,American astronomer Hubble first discovered that the recessional velocity of a galaxy increases with its distance from the earth,and therefore put forward Hubble’s law.It is considered the first observational basis for the expansion of the universe and today serves as one of the pieces of evidence most often cited in support of the Big Bang model.Since then the astrophysics community has believed that the universe is in a constant rate of expansion until Saul Permutter,Brian Paul Schmit and Adam Guy Riees discovered the accelerating expansion of the universe through observation of several dozen distant supernovas in 1998,who then won the Nobel Prize in Physics 2011.But human still cannot completely explain the phenomenon that the universe is expanding at an ever-accelerating rate.Thus the author of this paper studied the origin and evolution of galaxies again,and revealed the structure of galaxy and proved Hubble’s law,then revealed the truth about the expansion of the universe as well as dark matter and dark energy. 展开更多
关键词 Galaxies structure hubbles law universe’s expansion DARK matter DARK energy
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Mach’s Principle to Hubble’s Law and Light Relativity
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作者 Tianxi Zhang 《Journal of Modern Physics》 2018年第3期433-442,共10页
A new redshift-distance relation is derived from Mach’s principle with light relativity that describes disturbance of a light on spacetime and influence of the disturbed spacetime on the light inertia or frequency. A... A new redshift-distance relation is derived from Mach’s principle with light relativity that describes disturbance of a light on spacetime and influence of the disturbed spacetime on the light inertia or frequency. A moving object or photon, because of its continuously keeping on displacement, disturbs the rest of the entire universe or distorts/curves the spacetime. The distorted or curved spacetime then generates an effective gravitational force to act back on or drag the moving object or photon, so that reduces the object inertia or photon frequency. Considering the disturbance of spacetime by a photon is extremely weak, we have modeled the effective gravitational force to be Newtonian and thus derived the new redshift-distance relation that can not only perfectly explain the redshift-distance measurement of distant type Ia supernovae but also inherently obtain Hubble’s law as an approximate at small redshift. Therefore, the result obtained from this study does neither support the acceleration of the universe nor the expansion of the universe but prefers to Einstein’s simplest cosmology of the static universe or Zhang’s static or dynamic cosmology of the black hole universe. 展开更多
关键词 Cosmology REDsHIFT sUPERNOVAE hubble law GRAVITATION
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Theoretical Deduction of the Hubble Law Beginning with a MoND Theory in Context of the ΛFRW-Cosmology
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作者 Nelson Falcon Andrés Aguirre 《International Journal of Astronomy and Astrophysics》 2014年第4期551-559,共9页
We deduced the Hubble law and the age of the Universe, through the introduction of the Inverse Yukawa Field (IYF), as a non-local additive complement of the Newtonian gravitation (Modified Newtonian Dynamics). As a re... We deduced the Hubble law and the age of the Universe, through the introduction of the Inverse Yukawa Field (IYF), as a non-local additive complement of the Newtonian gravitation (Modified Newtonian Dynamics). As a result, we connected the dynamics of astronomical objects at great scale with the Friedmann-Robertson-Walker ΛFRW) model. From the corresponding formalism, the Hubble law can be expressed as v?= (4π[G]/c)r, which was derived by evaluating the IYF force at distances much greater than 50 Mpc, giving a maximum value for the expansion rate of the universe of H0(max)?≈ 86.31 km·s-1Mpc-1, consistent with the observational data of 392 astronomical objects from NASA/IPAC Extragalactic Database (NED). This additional field (IYF) provides a simple interpretation of dark energy as the action of baryonic matter at large scales. Additionally, we calculated the age of the universe as 11 Gyr, in agreement with recent measurements of the age of the white dwarfs in the solar neighborhood. 展开更多
关键词 ΛFRW COsMOLOGY hubble law MOND Dark Energy
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An Extended Version of Hubble’s Law
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作者 G. Alagar Ramanujam Keith Fitzcharles S. Muralidharan 《Journal of Modern Physics》 2017年第7期1067-1071,共5页
Friedmann-like cosmological equations were derived by us in a recent paper by using axioms proposed by us for the so called empty Space. By using one of our cosmological equations we have derived in this paper a relat... Friedmann-like cosmological equations were derived by us in a recent paper by using axioms proposed by us for the so called empty Space. By using one of our cosmological equations we have derived in this paper a relation between the expansion velocity of the universe and the radius of the universe. This relation may be considered as an extended version of Hubbles’ Law. According to our relation derived here, the Hubble factor H goes on decreasing as the radius increases. 展开更多
关键词 COsMOLOGICAL EQUATIONs Expansion of the UNIVERsE hubbles CONsTANT DARK Energy
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结合Cannikin’s Law的离线数据增广方法研究
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作者 邓雪 赵皓 +2 位作者 张静 梅菠萍 张华 《计算机工程与应用》 CSCD 北大核心 2023年第1期207-212,共6页
数据增广是提升深度学习模型性能的有效方法之一。针对多类别目标检测任务中检测性能不平衡问题,提出一种针对“短板类别”(检测性能远低于模型平均检测性能的类别)的离线数据增广方法。受Cannikin’s Law的启发,采用基于复制粘贴(copy-... 数据增广是提升深度学习模型性能的有效方法之一。针对多类别目标检测任务中检测性能不平衡问题,提出一种针对“短板类别”(检测性能远低于模型平均检测性能的类别)的离线数据增广方法。受Cannikin’s Law的启发,采用基于复制粘贴(copy-paste)机制的场景多样性增广方法。随机采集训练集中“短板类别”实例区域,通过相似性度量机制选取训练集中增广目标样本进行随机粘贴。为了降低随机粘贴导致的遮挡问题,采用基于自遮挡(cut-replace)机制的增广方法提升模型遮挡表达能力。通过截取样本自身区域,对特征表达最显著区域进行遮挡。实验表明,FCOS目标检测框架在PASCAL VOC数据上的平均检测精度(mean average precision,mAP)从79.10%提升到83.90%,其中短板类别更为显著,提升了20.8个百分点。在MS-COCO数据上平均检测精度提升了0.9个百分点。 展开更多
关键词 数据增广 Cannikin’s law 相似性度量机制 自遮挡 目标检测
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Extended Hubble Diagram on the Basis of Gamma Ray Bursts Including the High Redshift Range of z = 0.0331 - 8.1 被引量:2
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作者 Laszlo A. Marosi 《International Journal of Astronomy and Astrophysics》 2019年第1期1-11,共11页
It is generally accepted that the history of the expansion of the universe can be exactly described by the concordance model, which makes specific predictions about the shape of the Hubble diagram. The redshift-magnit... It is generally accepted that the history of the expansion of the universe can be exactly described by the concordance model, which makes specific predictions about the shape of the Hubble diagram. The redshift-magnitude Hubble diagram in the redshift range z = 0.0104 - 1 seems to confirm this expectation, and it is believed that this conformity is also valid in the high redshift range. However, this belief is not undisputed. Recent work in the high redshift range of up to z = 8.1 has shown that the shape of the Hubble diagram deviates considerably from the predictions made by the Lambda cold dark matter model. These analyses, however, were based on mixed SN1a and gamma ray burst data, and some astronomers argue that this may have biased the results. In this paper, 109 cosmology-independent, calibrated gamma ray burst z/&mu;data points are used to calculate the Hubble diagram in the range z = 0.034 to z = 8.1. The outcome of this analysis confirms prior results: contrary to expectations, the shape of the Hubble diagram turns out to be exponential, and this is difficult to explain within the framework of the standard model. The cosmological implications of this unexpected result are discussed. 展开更多
关键词 REDsHIFT Gamma Ray BURsTs hubble DIAGRAM EXPONENTIAL slope hubbles law ΛCDM Model
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Broader applicability of the metacoupling framework than Tobler’s first law of geography for global sustainability:A systematic review
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作者 Nicholas Manning Yingjie Li Jianguo Liu 《Geography and Sustainability》 CSCD 2023年第1期6-18,共13页
Complex sustainability issues in the Anthropocene,with rapid globalization and global environmental changes,are increasingly interlinked between not only nearby systems but also distant systems.Tobler’s first law of ... Complex sustainability issues in the Anthropocene,with rapid globalization and global environmental changes,are increasingly interlinked between not only nearby systems but also distant systems.Tobler’s first law of geog-raphy(TFL)states“near things are more related than distant things”.Evidence suggests that TFL is not infallible for sustainability issues.Recently,the integrated framework of metacoupling(MCF;human-nature interactions within as well as between adjacent and distant systems)has been applied to analyze the interactions between nearby and distant coupled human and natural systems simultaneously.However,previous work has been scat-tered and fragmented.It is crucial to understand the extent to which TFL and MCF apply across pressing issues in sustainability.Therefore,we reviewed and synthesized sustainability literature that used TFL and MCF across seven major topics:land change,species migration,tourism,trade,agricultural development,conservation,and governance.Results indicate MCF had a much broader applicability than TFL for these topics.The literature using MCF generally did not or likely did not obey TFL,especially in trade,governance,and agricultural de-velopment.In the TFL literature,most topics obeyed TFL,except for species migration and trade.The findings suggest the need to rethink and further test TFL’s relevance to sustainability issues,and highlight the potential of MCF to address complex interactions between both adjacent and distant systems across the world for global sustainability. 展开更多
关键词 Telecoupling sUsTAINABILITY Tobler’s First law of geography systematic review Metacoupling
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A Darcy-Law Based Model for Heat and Moisture Transfer in a Hill Cave
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作者 Fei Liu Dongliang Zhang +1 位作者 Qifu Zhu Qingyong Su 《Fluid Dynamics & Materials Processing》 EI 2023年第9期2345-2359,共15页
A hill can be regarded as an environmental carrier of heat.Water,rocks and the internal moisture naturally pre-sent in such environment constitute a natural heat accumulator.In the present study,the heat and moisture ... A hill can be regarded as an environmental carrier of heat.Water,rocks and the internal moisture naturally pre-sent in such environment constitute a natural heat accumulator.In the present study,the heat and moisture trans-fer characteristics in a representative hill cave have been simulated via a method relying on the Darcy’s law.The simulations have been conducted for both steady and unsteady conditions to discern the influence of permeability and geometric parameters on the thermal and moisture transfer processes.The reliability of the simulation has been verified through comparison of the numerical results with the annual observation data.As revealed by the numericalfindings,the internal temperature of the hill accumulator is proportional to the permeability,outside surface temperature,overground height,underground constant temperature layer depth,and underground tem-perature of the hill,and it is inversely proportional to the horizontal size of the hill.Moreover,in the considered case,the order of magnitude of the permeability of the hill is contained in the range 10-15–10-13,and displays a certain sensitivity to the rainwater seepage. 展开更多
关键词 Cave hill thermal and moisture transfer Darcy’s law temperaturefield PERMEABILITY
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Determination of the Henry’s Law Constant of Hexane in High-Viscosity Polymer Systems
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作者 Qi Jibing Li Yuliang +4 位作者 Liu Youzhi Yang Tong Liu Yandong Yuan Zhiguo Yi Jianjun 《China Petroleum Processing & Petrochemical Technology》 SCIE CAS CSCD 2023年第1期34-43,共10页
The Henry’s law constant of volatiles in polymer systems is a crucial parameter reflecting the gas-liquid equilibrium,which is very important for devolatilization.In this research,polyolefin elastomer(POE)-cyclohexan... The Henry’s law constant of volatiles in polymer systems is a crucial parameter reflecting the gas-liquid equilibrium,which is very important for devolatilization.In this research,polyolefin elastomer(POE)-cyclohexane and polydimethylsiloxane(PDMS)-hexane systems were studied,and the Henry’s law constant was obtained by measuring the gas phase equilibrium partial pressure when polymer solutions containing different mass fractions of volatiles reached a saturated state.The effects of temperature,type of volatiles,and polymer viscosity on the gas phase equilibrium partial pressure and Henry’s law constant of the volatiles were investigated.The results indicate that,with the increase of temperature and polymer viscosity,the gas phase equilibrium partial pressure and Henry’s law constant of volatiles increase.As temperature increases,the solubility of gas in liquid decreases.The relationship between the Henry’s law constant and temperature is consistent with the Arrhenius law.In the PDMS-hexane system,the gas phase equilibrium partial pressure and Henry’s law constant of n-hexane are higher than those of cyclohexane.The obtained Henry’s law constants can be used as a reference for perfecting the devolatilization process and improving the devolatilization effect. 展开更多
关键词 Henry’s law constant gas-liquid equilibrium method HEXANE polyolefin elastomer(POE) polydimethylsiloxane(PDMs)
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Zipf’s Law, Benford’s Law, and Pareto Rule
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作者 Oded Kafri 《Advances in Pure Mathematics》 2023年第3期174-180,共7页
From a basic probabilistic argumentation, the Zipfian distribution and Benford’s law are derived. It is argued that Zipf’s law fits to calculate the rank probabilities of identical indistinguishable objects and that... From a basic probabilistic argumentation, the Zipfian distribution and Benford’s law are derived. It is argued that Zipf’s law fits to calculate the rank probabilities of identical indistinguishable objects and that Benford’s distribution fits to calculate the rank probabilities of distinguishable objects. i.e. in the distribution of words in long texts all the words in a given rank are identical, therefore, the rank distribution is Zipfian. In logarithmic tables, the objects with identical 1st digits are distinguishable as there are many different digits in the 2nd, 3rd… places, etc., and therefore the distribution is according to Benford’s law. Pareto 20 - 80 rule is shown to be an outcome of Benford’s distribution as when the number of ranks is about 10 the probability of 20% of the high probability ranks is equal to the probability of the rest of 80% low probability ranks. It is argued that all these distributions, including the central limit theorem, are outcomes of Planck’s law and are the result of the quantization of energy. This argumentation may be considered a physical origin of probability. 展开更多
关键词 Zipf’s law Benford’s law Pareto 20 - 80 Rule Planck’s law Max Entropy
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New Planck’s Law
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作者 Dan Liu Bill 《Journal of Applied Mathematics and Physics》 2023年第3期721-736,共16页
In quantum mechanics, there are two very famous formulas. One is the energy formula of the bose particle, called Planck’s law. The other is the wavelength formula, which is called the de Broy wavelength. According to... In quantum mechanics, there are two very famous formulas. One is the energy formula of the bose particle, called Planck’s law. The other is the wavelength formula, which is called the de Broy wavelength. According to Einstein’s mass-energy equation, we have studied Planck’s law and De Bloy’s wavelength, and generalized it to the De Bloy’s wavelength formula from low speed to light speed. Then, on this basis, the smallest particle is defined as mass quantum. The new wavelength formula is obtained from the mass quantum and converted into the frequency formula. The generalized Planck’s law is obtained. 展开更多
关键词 Quantum Mechanics Planck’s law Einstein’s Mass and Energy Equation Debroy Wavelength Generalized Planck’s law
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Not Athenian or a Stranger:The Veiled Critique of Aristotle in Plato’s Laws
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作者 Philip Vogt 《Philosophy Study》 2023年第12期517-537,共21页
Plato’s last dialogue,the Laws,occupies an anomalous position within his larger body of work.An individual identified as the“Athenian stranger”replaces Socrates and reverses key Socratic teachings,most notably by e... Plato’s last dialogue,the Laws,occupies an anomalous position within his larger body of work.An individual identified as the“Athenian stranger”replaces Socrates and reverses key Socratic teachings,most notably by endorsing tyranny.Scholars conclude that Plato abandoned his earlier political recommendations in favor of a more pragmatic vision.In that case,the Laws should be treated as Plato’s definitive work,the ultimate statement of his thought,when in fact,much more attention is paid to earlier dialogues,particularly the Republic.The problem is resolved and the true significance of the Laws revealed when the text is read as Plato’s ironic critique of his brilliant-but-rebellious student,Aristotle.Reasoning from Aristotelian premises,the Athenian stranger arrives at conclusions that Platonists and Aristotelians alike would find unpalatable or absurd.The alleged rupture between Plato’s earlier and later work disappears.The esoteric writings that are thought to have been the product of Aristotle’s later career are shown to have emerged from ideas that Plato himself was familiar with and rejected. 展开更多
关键词 PLATO Plato’s laws Platonic irony ARIsTOTLE Aristotle’s Politics TYRANNY
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Motion State Modification of Coulomb’s Law and Dynamic Gravitation
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作者 Chi Zhang 《Journal of High Energy Physics, Gravitation and Cosmology》 2023年第3期699-707,共9页
As we know, Coulomb’s law describes the interaction between static charges. In this paper, the modified formula of Coulomb’s law in the state of charge motion is given. Based on this formula, Ampere’s law and Lore... As we know, Coulomb’s law describes the interaction between static charges. In this paper, the modified formula of Coulomb’s law in the state of charge motion is given. Based on this formula, Ampere’s law and Lorentz’s law of force are derived by pure mathematics. According to the similarity between the formula of universal gravitation and Coulomb’s law, the correction of the formula of universal gravitation under the state of motion is assumed boldly, and some inferences are made on the motion law of celestial bodies. 展开更多
关键词 Coulomb’s law Moving Charge Electromagnetism Dynamic Gravitation
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Hubble’s Constant and Flat Rotation Curves of Stars: Are Dark Matter and Energy Needed?
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作者 Alexandre Chaloum Elbeze 《Journal of Modern Physics》 2017年第1期24-34,共11页
Although dark energy and dark matter have not yet been detected, they are believed to comprise the majority of the universe. Observations of the flat rotation curve of galaxies may be explained by dark matter and dark... Although dark energy and dark matter have not yet been detected, they are believed to comprise the majority of the universe. Observations of the flat rotation curve of galaxies may be explained by dark matter and dark energy. This article, using Newton’s laws and Einstein’s theory of gravitation, shows that it is possible to define a new term, called E0, variable in time and space, of which one of its limits is the Hubble constant H0. I show that E0?is strongly linked to an explanation of the flat rotation curve of galaxies. This strong correlation between Hubble’s constant H0?and E0 enables us to solve the mystery of the surplus of gravity that is stabilizing the universe. 展开更多
关键词 hubbles law General RELATIVITY COsMOLOGICAL CONsTANT EXPANDING UNIVERsE Dark ENERGY
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The Hubble Field vs Dark Energy, Part II: The Lagrange-Hamilton Equation and Some Concepts on Force, Energy and Tensors in the Hubble Field
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作者 Lartigue G. Juan 《Journal of Modern Physics》 2017年第13期2159-2166,共8页
In a recent article [1] the author of this Part II proposed the parameter ΓH for the acceleration expansion of the Universe, instead of dark energy, defining such parameter as ΓH=H2&sdot;r(M/S2) = a constant. A ... In a recent article [1] the author of this Part II proposed the parameter ΓH for the acceleration expansion of the Universe, instead of dark energy, defining such parameter as ΓH=H2&sdot;r(M/S2) = a constant. A question about the expansive and constant acceleration of the internal levels of the Universe could be solved by equation ((3.10) ref. [1]) of the same article: Any assumed internal distance, lower than r of (ref. [2]) implies a proportional change in the squared Hubble parameter, so maintaining the constancy of the ΓH value for every stratum of the Universe. In the present work it is proved the constancy of the Hubble force by means of its generalized coordinates. As well, an equation to relate the Lagrange and the Hamilton functions is obtained for the Hubble field. Two concepts for both Hubble’s energy and tensor are also proposed. Finally, prior misprints of Part I, ref. [1], are corrected in the Appendix. 展开更多
关键词 hubble law hubble FORCE Generalized COORDINATEs
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A New Interpretation of the Hubble Law
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作者 Pascal Churoux 《Journal of Modern Physics》 2015年第9期1227-1232,共6页
We propose a new interpretation of Hubble law. Waves are observed in the observer space-time. It defines the observer proper time T. Space-time is composed of three spatial dimensions and three temporal parameters: pr... We propose a new interpretation of Hubble law. Waves are observed in the observer space-time. It defines the observer proper time T. Space-time is composed of three spatial dimensions and three temporal parameters: proper-time s of the observed object, proper time T of the observer and integration time t (currently considered as relative time). Time origin is the birth of the universe. So, universe is stable;it can be seen as the comobile space of expansion theory. When changing space-time from the source to the observer, waves are seen cooling;this explains the redshift effect. The distance is defined as the product of the delay time with the local speed of light of the observer. The mistake between t and T can explain why universe is viewed as not only in expansion but also in acceleration whereas we think it is stable. 展开更多
关键词 hubble law sPACE-TIME Light speed UNIVERsE Expansion REDsHIFT
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Heuristic Estimation of the Vacuum Energy Density of the Universe: Part II-Analysis Based on Frequency Domain Electromagnetic Radiation
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作者 Vernon Cooray Gerald Cooray +1 位作者 Marcos Rubinstein Farhad Rachidi 《Journal of Electromagnetic Analysis and Applications》 2024年第1期1-9,共9页
In Part I of this paper, an inequality satisfied by the vacuum energy density of the universe was derived using an indirect and heuristic procedure. The derivation is based on a proposed thought experiment, according ... In Part I of this paper, an inequality satisfied by the vacuum energy density of the universe was derived using an indirect and heuristic procedure. The derivation is based on a proposed thought experiment, according to which an electron is accelerated to a constant and relativistic speed at a distance L from a perfectly conducting plane. The charge of the electron was represented by a spherical charge distribution located within the Compton wavelength of the electron. Subsequently, the electron is incident on the perfect conductor giving rise to transition radiation. The energy associated with the transition radiation depends on the parameter L. It was shown that an inequality satisfied by the vacuum energy density will emerge when the length L is pushed to cosmological dimensions and the product of the radiated energy, and the time duration of emission is constrained by Heisenberg’s uncertainty principle. In this paper, a similar analysis is conducted with a chain of electrons oscillating sinusoidally and located above a conducting plane. In the thought experiment presented in this paper, the behavior of the energy radiated by the chain of oscillating electrons is studied in the frequency domain as a function of the length L of the chain. It is shown that when the length L is pushed to cosmological dimensions and the energy radiated within a single burst of duration of half a period of oscillation is constrained by the fact that electromagnetic energy consists of photons, an inequality satisfied by the vacuum energy density emerges as a result. The derived inequality is given by where is the vacuum energy density. This result is consistent with the measured value of the vacuum energy density, which is 5.38 × 10<sup>-10</sup> J/m. The result obtained here is in better agreement with experimental data than the one obtained in Part I of this paper with time domain radiation. 展开更多
关键词 Classical Electrodynamics Electromagnetic Radiation Action Radiated Energy PHOTON Heisenberg’s Uncertainty Principle Dark Energy Vacuum Energy Cosmological Constant hubble Radius
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The Hubble Field vs Dark Energy
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作者 Juan Lartigue 《Journal of Modern Physics》 2016年第12期1607-1615,共9页
The Hubble equation was considered valid enough to calculate the recession velocity of galaxies, until further observations showed that there would be an accelerated recession in the Hubble flow, necessarily tied to a... The Hubble equation was considered valid enough to calculate the recession velocity of galaxies, until further observations showed that there would be an accelerated recession in the Hubble flow, necessarily tied to an accelerated expansion of the Universe. So, this paper postulates the existence of a Hubble field as a possible cause for such an accelerated expansion, with some conditions: it must be a scalar field whose intensity should be a constant in respect to distance and whose Poisson equation should not be zero nor a function of mass;such field could rather be a property of the space-time. The obvious expression for acceleration should be the derivative of the Hubble equation respect to time, which gives two opposed-signs terms whose substitution by the De-Sitter equation drives to a permanent negative acceleration, similarly to that obtained by the 2<sup>nd</sup> Friedmann equation. Otherwise, the inclusion of the ? term in the gravitational Einstein equation has led to a two opposed-signs terms expression, resembled to a non-published Newton equation. The negative term expresses the gravitational attraction and the positive one expresses the accelerated expansion as a ? function, which usually is attributed to dark energy. In this paper it is shown that Λ is proportional to the squared Hubble parameter and that the uncertain dark energy may be substituted by the calculable Hubble field intensity to obtain an equation for the net Universe acceleration. Equations for the Hubble parameter as functions of time and radius are also deduced. A relation is shown between the various assumed masses of the Universe and its critical radius. Additional Universe parameters are estimated such as the deceleration factor and a solution for the Poisson equation in the Hubble field. A brief comment t on high-standard candles is included. 展开更多
关键词 hubble law hubble Field Cosmological Constant Friedmann Equations
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