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God Time = Planck Time: Finally Detected! And Its Relation to Hubble Time

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Open Journal of Microphysics 2024年第2期14卷 40-66页

作者： Espen Gaarder Haug Handelshø yskolen Norwegian University of Life Science &#197s Norway

newton already mentioned indivisible time in Principia. In 1899, Max Planck derived a unique time period from three universal constants: G, c, and ħ, and today this is known as the Planck time. The Planck time is of the order of about 10−44 seconds while the best atomic clocks are down to 10−19 seconds. An approach has recently been outlined that puts an upper limit on the quantization of time to 10−33 seconds;this is, however, still far away from the Planck time. We demonstrate that the Planck time can easily be measured without any knowledge of any other physical constants. This is remarkable as this means we have demonstrated that the Planck time and therefore the Planck scale is real and detectable. It has taken more than 100 years to understand this. The reason for the breakthrough in Planck scale physics in recent years comes from understanding that G is a composite constant and that the true matter wavelength is the Compton wavelength rather than the de Broglie wavelength. When this is understood, the mysteries of the Planck scale can be uncovered. In this paper, we also demonstrate how to measure the number of Planck events in a gravitational mass without relying on any constants. This directly relates to a new and simple method for quantizing general relativity theory that we also will shortly discuss.

关键词： Planck Time Fundamental Time Indivisible Time newton Planck Length Quantum Gravity

《数值计算与计算机应用》2024年第45卷第1期摘要

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计算数学 2024年第2期46卷 I0001-I0002页

阮春蕾,徐玉倩,董层层.运用newton-Cotes积分构造显式Runge-Kutta格式[J].数值计算与计算机应用,2024,45(1):1-12摘要:从newton-Cotes积分的角度构造了一个带参数的三级二阶显式Runge-Kutta格式和两个带参数的四级三阶显式Runge-Kutta格... 详细信息

阮春蕾,徐玉倩,董层层.运用newton-Cotes积分构造显式Runge-Kutta格式[J].数值计算与计算机应用,2024,45(1):1-12摘要:从newton-Cotes积分的角度构造了一个带参数的三级二阶显式Runge-Kutta格式和两个带参数的四级三阶显式Runge-Kutta格式,给出了精度证明及稳定性条件.当参数特殊取值时,所构造的三种参数格式分别导出了常用的三阶Runge-Kutta格式(RK3)和经典的四阶Runge-Kutta格式(RK4).通过数值算例,验证了所构造的几类Runge-Kutta格式的有效性、稳定性及高精度.与常见的各类显式Runge-Kutta格式相比,本文构造的三种Runge-Kutta格式具有更好的稳定性.

关键词：稳定性条件数值计算计算机应用 newton

The newton filtration and d-determination of bifurcation problems related to C^0 contact equivalence

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Science China Mathematics 2006年第5期49卷 660-668页

作者： SU Dan ZHANG Dunmu School of Mathematics and Statistics Wuhan University Wuhan 430072 China School of Mathematics and Statistics Wuhan University Wuhan 430072 China

In this paper, from the newton filtration's point of view, we construct the singular Riemannian metric and use the method in singular theory to study the bifurcation problems, and give the sufficient condition of d-determination of bifurcation problems with respect to C0 contact equivalence. The special cases of the main result in this paper are the results of Sun Weizhi and Zou Jiancheng.

关键词： map germ, newton filtration, singular Riemannian metric, C0 contact equivalence.

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反物质会受“反重力”吗?

天文爱好者 2024年第1期 56-59页

作者：柯文采丁子瑜(译) 不详

什么是反物质?据说,艾萨克·牛顿(Isaac newton)在看到一颗苹果从树上落到地面后,提出了万有引力理论。但如果是一颗由反物质组成的“反苹果”呢?它会往下掉,还是会往上掉呢?根据阿尔伯特·爱因斯坦(Albert Cinstcin)的广义相对论,无论... 详细信息

什么是反物质?据说,艾萨克·牛顿(Isaac newton)在看到一颗苹果从树上落到地面后,提出了万有引力理论。但如果是一颗由反物质组成的“反苹果”呢?它会往下掉,还是会往上掉呢?根据阿尔伯特·爱因斯坦(Albert Cinstcin)的广义相对论,无论物质还是反物质,都应该以相同的方式落向地球。然而,直到几个月前,还没有实验能够验证这个假设。

关键词：广义相对论反物质万有引力反重力艾萨克·牛顿 newton 苹果

LOCAL CONVERGENCE OF INEXACT newton-LIKE METHOD UNDER WEAK LIPSCHITZ CONDITIONS

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Acta Mathematica Scientia 2020年第1期40卷 199-210页

作者： Ioannis KARGYROS Yeol Je CHO Santhosh GEORGE 肖义彬 Department of Mathematical Sciences Cameron UniversityLawtonOK 73505USA School of Mathematical Sciences University of Electronic Science and Technology of ChinaChengdu 611731China Department of Mathematics Education Gyeongsang National UniversityJinju 52828Korea Department of Mathematical and Computational Sciences National Institute of TechnologyKarnataka757025 India14

The paper develops the local convergence of Inexact newton-Like Method(INLM)for approximating solutions of nonlinear equations in Banach space setting.We employ weak Lipschitz and center-weak Lipschitz conditions to perform the error analysis.The obtained results compare favorably with earlier ones such as[7,13,14,18,19].A numerical example is also provided.

关键词： inexact newton method Banach space semilocal convergence weak and center-weak Lipschitz condition recurrent functions Kantorovich hypotheses

An Inexact Modified newton Method for Viscc and Application in Grasping Force

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Acta Mathematicae Applicatae Sinica 2019年第3期35卷 591-606页

作者： Shuang CHEN Li-ping PANG Dan LI Jin-he WANG Information and Engineering College of Dalian University Dalian 116622China School of Mathematical Science Dalian University of TechnologyDalian 116024China School of Engineering Huzhou UniversityHuzhou 313000China

For the variational inequality with symmetric cone constraints problem,we consider using the inexact modified newton method to efficiently solve it.It provides a unified framework for dealing with the variational inequality with nonlinear constraints,variational inequality with the second-order cone constraints,and the variational inequality with semi-definite cone constraints.We show that each stationary point of the unconstrained minimization reformulation based on the Fischer-Burmeister merit function is a solution to the problem.It is proved that the proposed algorithm is globally convergent under suitable conditions.The computation results show that the feasibility and efficiency of our algorithm.

关键词： variational inequality symmetric cone inexact modified newton method Fischer-Burmeister function

Quasi-newton method based control design for unknown nonlinear systems with input constraints

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Science China(Information Sciences) 2020年第5期63卷 224-226页

作者： Shuangshuang XIONG Zhongsheng HOU Chenkun YIN Advanced Control Systems Lab School of Electronic and Information EngineeringBeijing Jiaotong University School of Automation Qingdao University

Dear editor,With the development in digital computers, various and huge data of controlled plants are obtained and stored, which has led to a rapid growth in the application of numerical methods in controller design. In recent years, the quasi-newton method [1, 2], as one of the powerful numerical methods which has superlinear convergence speed

关键词： newton Quasi-newton method based control design for unknown nonlinear systems with input constraints

An Augmented Lagrangian based Semismooth newton Method for a Class of Bilinear Programming Problems

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Applied Mathematics(A Journal of Chinese Universities) 2019年第4期34卷 446-459页

作者： HE Su-xiang LIU Yan WANG Chuan-mei School of Science Wuhan University of Technology

This paper proposes a semismooth newton method for a class of bilinear programming problems(BLPs)based on the augmented Lagrangian,in which the BLPs are reformulated as a system of nonlinear equations with original variables and Lagrange multipliers.Without strict complementarity,the convergence of the method is studied by means of theories of semismooth analysis under the linear independence constraint qualification and strong second order sufficient condition.At last,numerical results are reported to show the performance of the proposed method.

关键词： semismooth newton method constrained bilinear programming problems augmented Lagrangian strict complementarity

Can newton method be surpassed

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Chinese Science Bulletin 1999年第2期44卷 132-134页

作者： Naiyang Deng Zhaozhi Wang China Agr Univ Beijing 100083 Peoples R China

A local algorithm is proposed for unconstrained optimization problem. Compared with the traditional newton method with Choleski factorization, this algorithm has the same quadratic convergence. But its computation cos... 详细信息

关键词： newton method Choleski factorization preconditioned conjugate gradient method.