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Intelligence - Consider This and Respond! 智力——考虑并回应!
Pub Date : 2020-12-01 DOI: 10.1007/978-3-030-65596-9_48
Saty Raghavachary
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引用次数: 1
Stirling Numbers via Combinatorial Sums 组合和的斯特林数
Pub Date : 2020-12-01 DOI: 10.1007/978-981-33-6463-9_2
Anwesh Bhattacharya
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引用次数: 0
Fibonacci Series from Power Series 幂级数中的斐波那契级数
Pub Date : 2020-11-18 DOI: 10.20944/PREPRINTS202011.0463.V1
K. Adegoke
We show how every power series gives rise to a Fibonacci series and a companion series involving Lucas numbers. For illustrative purposes, Fibonacci series arising from trigonometric functions, inverse trigonometric functions, the gamma function and the digamma function are derived. Infinite series involving Fibonacci and Bernoulli numbers and Fibonacci and Euler numbers are also obtained.
我们展示了每个幂级数如何产生斐波那契级数和涉及卢卡斯数的伴随级数。为了便于说明,我们推导了由三角函数、反三角函数、函数和二函数引起的斐波那契级数。也得到了涉及斐波那契数和伯努利数、斐波那契数和欧拉数的无穷级数。
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引用次数: 2
Cabibbo Angle from the Nonlinear Dynamics of Quark Currents 夸克电流非线性动力学中的Cabibbo角
Pub Date : 2020-11-18 DOI: 10.20944/PREPRINTS202011.0469.V1
Ervin Goldfain
Our earlier work has tentatively shown that the hierarchy of fermion masses and mixing angles follows from the universal behavior of nonlinear dynamics. In this brief sequel we survey a similar scenario in which the Cabibbo angle arises from the nonlinear dynamics of charged-current interactions.
我们早期的工作已经初步表明,费米子质量和混合角的层次结构遵循非线性动力学的普遍行为。在这篇简短的续文中,我们研究了一个类似的场景,其中卡比博角是由带电电流相互作用的非线性动力学产生的。
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引用次数: 0
Solar System Wave Function 太阳系波函数
Pub Date : 2020-11-16 DOI: 10.33774/coe-2020-tj30r
A. Soltani
Pluto, Ceres and all planets of solar system except Neptune, with a high approximation, follow a law called Titius-Bode law (TBL) or Bode law, which can by no means be considered as a stochastic event. This law shows that the distance of the planets from the sun in Solar system is regulated. Here, we prove that the existence of a standing and cosine wave packet in solar system, with the wavelength λ = 0.6 AU (AU represents the distance of earth from the sun) and the phase constant ∅_0=π/6, is the reason for TBL. Moreover, we prove that this huge wave packet belongs to the sun. Finally in this article we will prove that without solar system wave function, it is not possible to reach to the TBL from the protoplanetary disk of solar system.
冥王星、谷神星以及太阳系除海王星以外的所有行星,都高度近似地遵循提丢斯-波德定律(Titius-Bode law, TBL)或波德定律,这绝不是一个随机事件。这一定律表明,太阳系中行星与太阳的距离是有规律的。这里,我们证明了在太阳系中存在一个驻余弦波包,波长λ = 0.6 AU (AU代表地球到太阳的距离),相位常数∅_0=π/6,是存在TBL的原因。此外,我们证明了这个巨大的波包属于太阳。最后,本文将证明没有太阳系波函数,从太阳系原行星盘到达TBL是不可能的。
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引用次数: 0
Three Generations and Fermion Chirality from Universal Bifurcations 泛分岔的三代和费米子手性
Pub Date : 2020-11-13 DOI: 10.20944/PREPRINTS202011.0376.V1
Ervin Goldfain
The Standard Model (SM) fails to account for either the triplication of fermion families or chiral symmetry breaking in the electroweak sector. Here we show that both phenomena arise from the approach to chaos of quantum theory near the Fermi scale.
标准模型(SM)既不能解释费米子族的三倍,也不能解释电弱扇区的手性对称性破缺。在这里,我们证明了这两种现象都来自于接近费米尺度的量子理论的混沌。
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引用次数: 0
Mass Generation and Non-Euclidean Metric from Fractional Dynamics 分数阶动力学的质量生成和非欧几里德度量
Pub Date : 2020-11-12 DOI: 10.20944/PREPRINTS202011.0350.V1
Ervin Goldfain
Fractional-time Schrodinger equation (FTSE) describes the evolution of quantum processes endowed with memory effects. FTSE manifestly breaks all consistency requirements of quantum field theory (unitarity, locality and compliance with the clustering theorem), unless the order of fractional differentiation and integration falls close to one. Working in the context of the minimal fractal manifold, we confirm here that FTSE a) provides an unforeseen generation mechanism for massive fields and, b) approximates the attributes of gravitational metric.
分数时间薛定谔方程(FTSE)描述了具有记忆效应的量子过程的演化。FTSE显然打破了量子场论的所有一致性要求(统一性、局部性和遵从聚类定理),除非分数阶微分和积分的阶数接近于1。在最小分形流形的背景下工作,我们在这里确认FTSE a)为大质量场提供了不可预见的生成机制,b)近似于引力度量的属性。
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引用次数: 0
Hypersphere World-Universe Model: Evolution of the World 超球世界-宇宙模型:世界的演化
Pub Date : 2020-11-01 DOI: 10.4236/JHEPGC.2021.72029
Vladimir S. Netchitailo
The main objective of this paper is to discuss in frames of World-Universe Model (WUM) an Evolution of the 3D Hypersphere World from the Beginning up to the present Epoch. WUM is the only cosmological model in existence that is consistent with the Law of Conservation of Angular Momentum. To be consistent with this Fundamental Law, WUM introduces Dark Epoch (spanning from the Beginning of the World for 0.45 billion years) and Luminous Epoch (ever since for 13.77 billion years). Big Bang discussed in Standard Cosmology is, in our view, transition from Dark Epoch to Luminous Epoch due to Rotational Fission of Overspinning Dark Matter (DM) Supercluster’s Cores and self-annihilation of Dark Matter Particles (DMPs). WUM envisions Matter carried by DMPs from the Universe into the World from the fourth spatial dimension of the 4D Nucleus of the World. Luminous Matter is a byproduct of DMPs self-annihilation. WUM solves a number of physical problems in contemporary Cosmology and Astrophysics through DMPs and their interactions: Angular Momentum problem in birth and subsequent evolution of Galaxies and Extrasolar systems – how do they obtain it; Fermi Bubbles – two large structures in gamma-rays and X-rays above and below Galactic center; Missing Baryon problem related to the fact that the observed amount of baryonic matter did not match theoretical predictions. WUM reveals Inter-Connectivity of Primary Cosmological Parameters and calculates their values, which are in good agreement with the latest results of their measurements. In 2013, Model predicted the values of the following Cosmological parameters: gravitational, concentration of intergalactic plasma, and the minimum energy of photons, which were experimentally confirmed in 2015 – 2018. “The Discovery of a Supermassive Compact Object at the Centre of Our Galaxy” (Nobel Prize in Physics 2020) made by Prof. R. Genzel and A. Ghez is a confirmation of one of the most important predictions of WUM in 2013: “Macroobjects of the World have cores made up of the discussed DM particles. Other particles, including DM and baryonic matter, form shells surrounding the cores”.
本文的主要目的是在世界-宇宙模型(WUM)框架下讨论三维超球世界从开始到现在的演化。WUM是唯一存在的符合角动量守恒定律的宇宙学模型。为了与这一基本定律相一致,WUM引入了黑暗时代(从世界开始的4.5亿年开始)和光明时代(从137.7亿年开始)。在我们看来,标准宇宙学中讨论的大爆炸是由于超旋暗物质(DM)超星团核心的旋转裂变和暗物质粒子(dmp)的自湮灭而从黑暗时代过渡到发光时代。WUM设想由dmp从宇宙携带的物质从4D世界核心的第四个空间维度进入世界。发光物质是DMPs自我湮灭的副产品。WUM通过dmp及其相互作用解决了当代宇宙学和天体物理学中的许多物理问题:星系和太阳系外系统的诞生和后续演化中的角动量问题-它们如何获得它;费米气泡——银河系中心上下的两个大型伽玛射线和x射线结构;缺失的重子问题与观测到的重子物质的数量与理论预测不符有关。WUM揭示了主要宇宙学参数的相互联系,并计算了它们的值,与最新的测量结果吻合得很好。2013年,Model预测了以下宇宙学参数的值:引力、星系间等离子体的浓度和光子的最小能量,这些参数在2015年至2018年得到了实验证实。R. Genzel教授和a . Ghez教授的“在我们银河系中心发现一个超大质量致密物体”(2020年诺贝尔物理学奖)证实了WUM在2013年最重要的预测之一:“世界的宏观物体由讨论的DM粒子组成。其他粒子,包括DM和重子物质,在核心周围形成壳层。
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引用次数: 10
Global weakness of the paper: “Mass-energy equivalence Extension onto a Superfluid Quantum Vacuum” i.e. why the so-called “model” introduced is in this form not viable 论文的整体弱点:“质能等效扩展到超流体量子真空”,即为什么所谓的“模型”以这种形式引入是不可行的
Pub Date : 2020-11-01 DOI: 10.31219/osf.io/y2h58
P. Di Sia
With these comments, I wish to focus on the problems encountered in the paper: Sorli, A.S. Mass - Energy Equivalence Extension onto a Superfluid Quantum Vacuum. Sci Rep 9, 11737 (2019). https://www.nature.com/articles/s41598-019-48018-2. The paper denotes problems of conceptual, technical and aesthetic nature, and brings as support of a possible “introduced model”, as indicated there, extremely poor mathematical concepts, confused ideas and concepts in general, inadequate qualitative figures, everything presented in a questionable English. It follows an analysis of the critical found points.
有了这些评论,我希望把重点放在论文中遇到的问题:Sorli, A.S.在超流体量子真空上的质能等效推广。科学通报9,11737(2019)。https://www.nature.com/articles/s41598 - 019 - 48018 - 2。这篇论文指出了概念、技术和美学性质的问题,并带来了一个可能的“引入模型”的支持,正如那里所指出的,极其糟糕的数学概念,混乱的想法和一般的概念,不充分的定性图形,用可疑的英语提出的一切。接下来是对关键发现点的分析。
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引用次数: 0
POSITIVES AND NEGATIVES OF THE STEADY STATE AND BIG BANG THEORIES IN THE 21ST CENTURY 21世纪稳态和大爆炸理论的正反两面
Pub Date : 2020-11-01 DOI: 10.31219/osf.io/b3dnf
R. Bartlett
This novel hypothesis uses mathematics in the form of topology. The goal: to establish a “proof of concept” to which equations can be added, by anyone. It’s concluded the Steady State, Big Bang, Inflation and Multiverse theories all ultimately fail and a topological model including bits (binary digits), Mobius strips, figure-8 Klein bottles and Wick rotation works better. The failed cosmologies have impressive good points leading to the idea that they’re all necessary stepping-stones. For example, the Big Bang is seen here as violation of the 1st Law of Thermodynamics but its supposed origin from quantum fluctuations is reminiscent of bits switching between 1 and 0. The topological hypothesis has potential to explain dark matter (DM), dark energy (DE) and electromagnetic-gravitational union. This model predicts (1) the universe’s nature is binary and topological, (2) antigravitons are the quanta of dark energy, (3) dark energy has no connection with the expanding universe since there never was, nor will be, expansion or contraction (dark energy comprises dark matter – in some dimensions, dark matter’s being composed of dark energy will follow DE=DMc^2: in others, it won’t), (4) immortality, and (5) imprints in the Cosmic Microwave Background from gravitational waves will oneday be detected unambiguously and not interpreted as evidence of inflation. The article “post-dicts” Special Relativity’s time dilation as well as existence of both curvature and flatness in space-time. Finally, the article introduces what is called vector-tensor-scalar geometry - and extensions of Einstein's Gravity and Maxwell's Electromagnetism.
这个新颖的假设以拓扑学的形式运用了数学。其目标是:建立一个“概念证明”,任何人都可以在其中添加方程。结论是,稳态理论、大爆炸理论、暴涨理论和多元宇宙理论最终都是失败的,而包括比特(二进制数字)、莫比乌斯带、8字形克莱因瓶和威克旋转在内的拓扑模型效果更好。失败的宇宙论都有令人印象深刻的优点,让人觉得它们都是必要的垫脚石。例如,大爆炸在这里被视为违反了热力学第一定律,但它假定的起源是量子涨落,这让人想起比特在1和0之间的转换。拓扑假说有可能解释暗物质(DM)、暗能量(DE)和电磁引力结合。该模型预测(1)宇宙的本质是二元的和拓扑的,(2)反引力子是暗能量的量子,(3)暗能量与膨胀的宇宙没有联系,因为从来没有,也不会有膨胀或收缩(暗能量包括暗物质——在某些维度上,暗物质由暗能量组成将遵循DE=DMc^2:(4)长生不老,(5)引力波在宇宙微波背景中的印记总有一天会被明确地探测到,而不会被解释为暴胀的证据。文章“后置”了狭义相对论的时间膨胀以及时空中曲率和平等的存在。最后,文章介绍了所谓的矢量-张量-标量几何以及爱因斯坦引力和麦克斯韦电磁学的扩展。
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