Phase Transitions Governed by the Fifth Power of the Golden Mean and Beyond

In this contribution results from different disciplines of science were compared to show their intimate interweaving with each other having in common the golden ratio φ respectively its fifth power φ5. The research fields cover model calculations of statistical physics associated with phase transitions, the quantum probability of two particles, new physics of everything suggested by the information relativity theory (IRT) including explanations of cosmological relevance, the ε-infinity theory, superconductivity, and the Tammes problem of the largest diameter of N non-overlapping circles on the surface of a sphere with its connection to viral morphology and crystallography. Finally, Fibonacci anyons proposed for topological quantum computation (TQC) were briefly described in comparison to the recently formulated reverse Fibonacci approach using the Janičko number sequence. An architecture applicable for a quantum computer is proposed consisting of 13-step twisted microtubules similar to tubulin microtubules of living matter. Most topics point to the omnipresence of the golden mean as the numerical dominator of our world.

Mass Constituents of a Flat Lattice Multiverse: Conclusion from Similarity between Two Universal Numbers, the Rocksalt-Type 2<i>D</i>Madelung Constant and the Golden Mean

In fairly good agreement with the consensus range of dark energy to matter this ratio of the critical density is suggested to be connected with the golden mean &phi;=0.6180339887, yielding for dark energy to matter mass fractions .?Assuming the baryonic matter to be only 4.432%, the ratio of matter to baryonic matter would be , and further the ratio of dark matter to baryonic one . If one subtracts from the dark matter a contribution of antimatter with the same mass of baryonic matter, according to the antigravity theories of Villata respectively Hajdukovic, the remaining mass ratio would yield . Replacing the “Madelung” constant α of Villata’s “lattice universe” by &phi;, one reaches again 1 + &phi;as the ratio of the repulsive mass contribution to the attractive one. Assuming instead of a 3D lattice a flat 2D one of rocksalt type, the numerical similarity between the Madelung constant and φ&minus;1 could not be just coincidence. The proposed scaling of the cosmological mass fractions with the square of the most irrational universal number &phi;may indicate that the chaotic cosmological processes have reached a quite stable equilibrium. This may be confirmed by another, but similar representation of the mass constituents by the Archimedes’ constant &pi;, giving for respectively for the dark components . However, the intimate connection of φ with its reciprocal may ignite the discussion whether our universe is intertwined with another universe or even part of a multiverse with the dark constituents contributed from there.

Golden Quartic Polynomial and Moebius-Ball Electron

A symmetrical quartic polynomial, named golden one, can be connected to coefficients of the icosahedron equation as well as to the gyromagnetic correction of the electron and to number 137. This number is not a mystic one, but is connected with the inverse of Sommerfeld’s fine-structure constant and this way again connected with the electron. From number-theoretical realities, including the reciprocity relation of the golden ratio as effective pre-calculator of nature’s creativeness, a proposed closeness to the icosahedron may point towards the structure of the electron, thought off as a single-strand compacted helically self-confined charged elemantary particle of less spherical but assumed blunted icosahedral shape generated from a high energy double-helix photon. We constructed a chiral Moebius “ball” from a 13 times 180˚twisted double helix strand, where the turning points of 12 generated slings were arranged towards the vertices of a regular icosahedron, belonging to the non-centrosymmetric rotation group I532. Mathematically put, we convert the helical motion of an energy quantum into a stationary motion on a Moebius stripe structure. The radius of the ball is about the Compton radius. This chiral closed circuit Moebius ball motion profile can be tentatively thought off as the dominant quantum vortex structure of the electron, and the model may be named CEWMB (Charged Electromagnetic Wave Moebius Ball). Also the gyromagnetic factor of the electron (ge = 2.002319) can be traced back to this special structure. However, nature’s energy infinity principle would suggest a superposition with additional less dominant (secondary) structures, governed also by the golden mean. A suggestion about the possible structure of delocalized hole carriers in the superconducting state is given.

基于平滑因子引入和神经网络优化的锂电池SOC估计方法

为提高锂电池荷电状态(SOC)的估计精度,提出了一种基于平滑因子引入和神经网络优化的锂电池SOC估计方法。将黄金分割优选法和模糊C均值聚类算法应用于RBF神经网络,分别用来确定最佳隐含层神经元个数和径向基中心;采用遗传算法对高斯核函数宽度及连接权值进行优化,解决了RBF神经网络结构和初始参数难以确定的问题。将滑动时间窗口内的放电容量作为平滑因子引入神经网络模型,增强了RBF网络对锂离子电池非线性特性拟合的能力。基于实验获得的锂离子电池在联邦城市行车计划(FUDS)工况下的数据,对所提出的方法进行仿真和验证,结果表明,所提方法显著提升了锂电池SOC的估计精度。

书籍设计中的意境营造:从写意画中借鉴

写意画和书籍设计有很多相同之处,两者同属于二维平面的创作。从写意画中借鉴意境营造的方法,有利于书籍设计品质的提高。通过分析写意画意境营造的经典理论,将经典理论与书籍设计创作语言相结合,以达到意境理论的真正迁移。书籍设计师不仅要借鉴写意画意境营造的创作手段,还要借鉴写意画意境营造的精神内涵,后者是意境营造的本质,前者是后者的外在表现。写意画的精神内涵包含有中庸,诗意,禅意,师法自然。创作手段包含有:留白、形象、线、笔墨、虚实。精神内涵提纲挈领,创作手段服务于精神内涵。

浅析中国传统文化中的师德教育

中华民族历来重视师德教育。中国传统文化中有许多关于修身明德的哲理值得现代人去领悟。教师的师德教育应该从行“仁爱”,为人师;尚“中庸”,育良才;尊“民本”,开明学三个方面进行。

Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part III. An Original Solution of Hilbert’s Fourth Problem

This article refers to the “Mathematics of Harmony” by Alexey Stakhov [1], a new interdisciplinary direction of modern science. The main goal of the article is to describe two modern scientific discoveries—New Geometric Theory of Phyl-lotaxis (Bodnar’s Geometry) and Hilbert’s Fourth Problem based on the Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci -Goniometry ( is a given positive real number). Although these discoveries refer to different areas of science (mathematics and theoretical botany), however they are based on one and the same scien-tific ideas—The “golden mean,” which had been introduced by Euclid in his Elements, and its generalization—The “metallic means,” which have been studied recently by Argentinian mathematician Vera Spinadel. The article is a confirmation of interdisciplinary character of the “Mathematics of Harmony”, which originates from Euclid’s Elements.

Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part II. A New Geometric Theory of Phyllotaxis (Bodnar’s Geometry)

This article refers to the “Mathematics of Harmony” by Alexey Stakhov in 2009, a new interdisciplinary direction of modern science. The main goal of the article is to describe two modern scientific discoveries–New Geometric Theory of Phyllotaxis (Bodnar’s Geometry) and Hilbert’s Fourth Problem based on the Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci λ-Goniometry (λ > 0 is a given positive real number). Although these discoveries refer to different areas of science (mathematics and theoretical botany), however they are based on one and the same scientific ideas-the “golden mean,” which had been introduced by Euclid in his Elements, and its generalization—the “metallic means,” which have been studied recently by Argentinian mathematician Vera Spinadel. The article is a confirmation of interdisciplinary character of the “Mathematics of Harmony”, which originates from Euclid’s Elements.

Golden Anyons for Cosmic Dark Energy Density

The note gives a watertight confirmation of the E-infinity Cantorian theory results for ordinary and dark cosmic energy density of the universe and respectively. The computation is fundamentally based on a golden mean fusion function that goes back to the highly original anyon proposal of F. Wilczek.

Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s——Part I. Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci Goniometry

This article refers to the “Mathematics of Harmony” by Alexey Stakhov in 2009, a new interdisciplinary direction of modern science. The main goal of the article is to describe two modern scientific discove-ries—New Geometric Theory of Phyllotaxis (Bodnar’s Geometry) and Hilbert’s Fourth Problem based on the Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci λ-Goniometry ( λ > 0 is a given positive real number). Although these discoveries refer to different areas of science (mathematics and theoretical botany), however they are based on one and the same scientific ideas—the “golden mean”, which had been introduced by Euclid in his Elements, and its generalization—the “metallic means”, which have been studied recently by Argentinian mathematician Vera Spinadel. The article is a confirmation of interdisciplinary character of the “Mathematics of Harmony”, which originates from Euclid’s Elements.

中道立国——“中国”的思想内涵与近代转型

“中国”概念主要有地理、民族、文化、国体等含义,其中文化含义最为突出和普遍,几千年的“中国”就是一个文化或者文明共同体。黄帝时代“中国”观念萌芽,是最早中国。尧舜明确以“中道”立国,之后王者寻求“土中”建国立都。周人确定在伊洛地区营建成周,以为天地之中,将政治行为神圣化、宗教化。“华夏”为“中国”别名,指礼仪宏大,服饰华美,具有地理、民族含义,更具有文化、文明含义。中国之称为“中国”,主要包括诗书礼乐、衣食住行等方面,具有物质文明和精神文明总体内涵。作为文化中国,其核心价值观就是中道。中道是中国文明一脉相承、绵延至今的内在精神因素之一。近代以来,中国知识分子反思和矫正传统中国观,对“中国”概念加以现代转化和重构。今天,“中国”概念的当代重构需要传承“中道”传统。“中道”是“中国”思想内涵的核心,也是“中国”概念当代重构的要义。

基于幂律模型解析有氧运动抵抗阿尔茨海默病的动物实验

背景:阴阳和中庸是中华文化的核心概念,但目前缺少与现代科学对接的桥梁。幂律模型在复杂系统科学中具有良好的鲁棒性或抗干扰能力,提示与阴阳和中庸密切相关。目的:通过幂律模型分析长期有氧运动抵抗阿尔茨海默病模型的阴阳辨证特征,探讨幂律模型阴阳学说在人体复杂系统中的潜在作用。方法:借鉴阴阳学说成双成对的思路、关系理性和中庸之道,文中用幂律表征每一对参数,将引起幂律系数和指数变化的因素称为阴阳因,提出了人体阴阳的参数对模型,并应用于阿尔茨海默病动物实验研究。人体的参数构成参数空间,将参数空间的几何均值定义为参数空间的时中。结果与结论:①阴阳是客观参数幂律关系的主观感觉;②2个子空间时中的阴阳属性相对于2个子空间的联合空间的时中而存在;③2个子空间时中的阴平阳秘或阴阳失调分别对应于2个子空间时中的同级幂律或升级幂律;④动物实验数据结果分析,阿尔茨海默病造模可以造成阴阳失调,造模前的长期游泳运动可以抵抗阿尔茨海默病造模对阴阳两类参数的改变;⑤上述结果显示,人体复杂系统参数对幂律模型阴阳学说的合理解释可以用于数据空间的阴阳辨证,客观参数时中的幂律关系可以表征其主观感觉的阴阳特征。

生态正义视阈下的弗罗斯特诗歌意象新释

罗伯特·弗罗斯特是美国20世纪的田园诗人,他运用独特的诗歌意象的话语策略表述了人与人、人与自然生态环境之间的多层次相互关联和相互作用。透过诗歌意象的塑造,他质疑被强加于自然生态的单纯物用价值,拒绝给予自然生态以标准化的定义和绝对性的论断,强调人类与自然生态之间的相互影响,谴责人类权力的滥用,试图充分展示自然生态统一体中所固有的多种对立、矛盾和张力。当代评论者从生态正义的视角重新阐释弗罗斯特诗歌中的花、火、冰、墙、荒野等具体意象,可使其增值,生发新意。弗罗斯特的诗歌意象承载着人对自然生命的悲悯与同情;揭示了人类的自我节制与约束对维护生态正义的重要性;描述了源于自然生态的种种创造力和破坏力;批判了现代社会中日趋极端的贪念、仇恨、暴力的一己偏见和愚蠢行为。在当代生态环境日益恶化的情形下,弗罗斯特的诗歌意象可使我们进一步领悟中道智慧,领会自觉提升生态意识、维护健全人格、进而重塑基于人类共同价值的生态正义的必要性和可能性。

多策略融合的黄金正弦樽海鞘群算法

针对樽海鞘群算法(Salp Swarm Algorithm, SSA)收敛性能差、容易陷入局部最优等问题,提出了多策略融合的黄金正弦樽海鞘群算法(Golden sine Salp Swarm Algorithm with Multi-strategy, MGSSA).首先采用选择反向学习策略对种群中完全偏离最优个体寻优方向的个体计算选择反向解,改善种群质量;然后在跟随者位置更新阶段加入最优个体和精英均值个体引导,以加快算法收敛速度;最后根据概率选择黄金正弦算法变异策略,进一步改善解的质量,同时便于算法后期跳出局部最优.本研究在14个基准测试函数上进行实验,与其他群智能优化算法和其他改进樽海鞘群算法对比,将其应用于拉压弹簧设计问题测试解决工程优化问题的性能.结果表明:MGSSA具有较高的收敛精度和稳定性,在求解工程问题时性能良好.

冯塔纳《施泰希林》中的空间诗学与时代思考

德国著名现实主义作家冯塔纳的最后一部长篇小说《施泰希林》是一部探讨传统与现代、新与旧问题的时代小说。小说通过构思巧妙的空间构建,有意突出保守贵族与开明贵族之间形成的反差,并通过对前者的漫画式戏谑勾勒传达作家本人的立场态度,即在时代潮流不可阻挡的前提下,从传统社会一路走来的贵族阶层应该抱持开放、从容的态度面对社会发展与时代变化。与此同时,无论在乡下施泰希林还是在都市柏林,传统与现代、自然与工业都已实现有机地相互交融。传统在可承受的范围内接纳先进,新兴事物只在必要情况下才去代替传统。面对历史发展的正确态度在于新旧事物和谐并存的中庸之道。

全球文明视域下的人类文明新形态——以马兹利什的文明概念演进逻辑为线索

文明概念是历史性生成的,是一个综合和动态的概念。最初的文明是一个中性概念,凸显自我与他者的边界。在进一步发展和演进过程中,文明发生了异化,成为具有排他性的意识形态,用以确定文明等级和推行殖民主义。全球化时代,自我与他者的界限消失,传统文明概念面临着消解的危险,文明面临着何去何从的重大抉择。全球文明是区别于普世文明,与全球化时代相匹配的文明类型,文明对话、网络科技、全球意识等是其生成的支撑条件。人类文明新形态本质上属于全球文明,它是包含地方文明特殊性基础上的普遍性文明,强调平等、多元、对话、包容和共享。人类文明新形态的提出赋予文明概念以新生,以实现人类和美幸福的价值旨归。贵和尚中的中华文明是人类文明新形态的文化厚植,人类文明新形态推进中华文明现代化,拓宽人类文明前进道路。

Magic Numbers of the Great Pyramid: A Surprising Result

Recently attention has been drawn to the frequently observed fifth power of the golden mean in many disciplines of science and technology. Whereas in a forthcoming contribution the focus will be directed towards Fibonacci number-based helical structures of living as well as inorganic matter, in this short letter the geometry of the Great Pyramid of the ancient Egyptians was investigated once more. The surprising main result is that the ratio of the in-sphere volume of the pyramid and the pyramid volume itself is given by π⋅φ5, where φ = 0.618033987⋅⋅⋅ is nature’s most important number, the golden mean. In this way not only phase transitions from microscopic to cosmic scale are connected with φ5, also ingenious ancient builders have intuitively guessed its magic before.

Beyond a Quartic Polynomial Modeling of the DNA Double-Helix Genetic Code

By combination of finite number theory and quantum information, the complete quantum information in the DNA genetic code has been made likely by Planat et al. (2020). In the present contribution a varied quartic polynomial contrasting the polynomial used by Planat et al. is proposed that considered apart from the golden mean also the fifth power of this dominant number of nature to adapt the code information. The suggested polynomial is denoted as g(x) = x4 - x3 - (4 - ϕ2 )x2 + (4 – ϕ2)x + 1, where is the golden mean. Its roots are changed to more golden mean based ones in comparison to the Planat polynomial. The new coefficients 4 – ϕ2 instead of 4 would implement the fifth power of the golden mean indirectly applying . As an outlook, it should be emphesized that the connection between genetic code and resonance code of the DNA may lead us to a full understanding of how nature stores and processes compacted information and what indeed is consciousness linking everything with each other suggestedly mediated by all-pervasive dark constituents of matter respectively energy. The number-theoretical approach to DNA coding leads to the question about the helical structure of the electron.

领导者中庸思维与组织绩效:作用机制与情境条件研究

中庸思维作为中国传统文化中最为突显的思维方式之一,近年来在心理学领域引起了学者们的重视,但是将中庸思维应用于领导理论并分析高层领导者的中庸思维对组织绩效影响机制的研究却很鲜见。本文以高层领导者的中庸思维为自变量,在对其概念进行归纳和界定的基础上,从理论上论证了其对于组织绩效的影响作用,以及组织两栖导向在其中所起到的中介作用和不同情境条件下组织两栖导向对组织绩效影响程度的变化,并运用中国企业层面的数据对所提出的假设进行了验证。研究结果显示:高层领导者的中庸思维对组织两栖导向和组织绩效具有显著的正向影响,组织两栖导向在中庸思维与组织绩效之间起着部分中介作用。员工间的联结性与部门间的相依性在两栖导向与组织绩效之间起着协同调节作用,两栖导向、员工间相依性和部门间联结性之三维交互对组织绩效产生正向影响。研究结果表明,企业高层领导者不仅要通过多方思考、和谐性和整合性之中庸思维来提高组织绩效,而且要通过建立组织的利用和探索之两栖导向,以及建立员工间的联结性和部门间的相依性这两种组织协调机制,提高组织利用现有资源和开发新机会的能力,从而提高组织绩效。

PSA中不确定性分析实现方法研究

不确定性分析能够量化PSA模型中的不确定性因素从而为决策者提供决策支持。提出一种基于蒙特卡罗模拟的故障树不确定性分析方法用于求得置信区间的上下确界,该方法将模拟求解过程中的对超越方程的求解问题转化成优化问题,并充分利用了优化问题中目标函数的属性特征,选择黄金分割点法来进行一维搜索求解。在此基础上为加速收敛对黄金分割点算法做了改进。该方法已应用于自主开发的PSA分析软件RiskA中。并将RiskA不确定性分析结果和其他的PSA软件进行了校核,校核结果表明这种方法是正确的。