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.

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.

《金匮要略方论本义》学术特色钩玄

《金匮要略方论本义》为清代医学家、易学家魏荔彤所作,是其研读《金匮要略》数十年的心得,在历代《金匮要略》注本中以“深入”见称。魏荔彤以《易经》释医,从太极生万物、阴阳等易学理论阐释中医天人合一、阴阳互根互用等哲学基础,注解《金匮要略》疾病诊断和防治原理;参合《黄帝内经》,对疾病的病因病机、辨证论治和方药分析鞭辟入里,成为以《黄帝内经》注《金匮要略》的第一人。字斟句酌的注解特点令全书详明而有层次,专于于无字处极深研究,锐意发挥,整体观念和治未病思想多有体现。其学术思想可为后学研究《金匮要略》提供借鉴。

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。

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。

知识型员工中庸思维、组织和谐与个体创新行为关系研究

组织创新依赖于员工创新,如何提高知识型员工的创新行为,是目前大部分领导者关注的问题。通过对中国企事业组织知识型员工进行问卷调查,试图探讨知识型员工中庸思维对个体创新行为的影响以及组织和谐的中介作用。运用结构方程模型进行分析,研究结果显示:知识型员工中庸思维对个体创新行为有正向影响,且组织和谐在两者间起部分中介作用。

论中庸思想与慢设计理念

以慢设计理念的出现为启示,论述了中庸思想"中"、"和"、"度"、"时"4个核心概念和慢设计理念本真性、整体性、平衡性、时代性的基本特征,分析了中庸思想与慢设计理念所追求感知状态的共通之处,进而阐明了中庸思想的核心概念与慢设计理念的特征之间的联系。在此基础上,提出当代设计应注重产品与本民族文化的融合,给产品更多的文化附加值,才能为中国的慢设计提供更广阔的空间。

从中庸之道到“无知之幕”:四种媒体伦理理论评析

如果从亚里士多德时代开始考察,在具有两千多年历史的域外伦理学世界中,人类已经发展出若干种经典的理论。在经历了漫长的中世纪的相对沉寂之后,到18世纪后期,康德的道义论和英国的功利主义相继问世,彼此形成了一种强烈的关照和反差,极大地丰富了伦理学世界。20世纪新产生的伦理学视角林林总总,其中罗尔斯正义理论中的"无知之幕"假设,被认为是一种重要的情境性的伦理视角。以上理论视角的运用,尤其是综合性的运用,为我们探讨复杂的媒体伦理议题提供了强大的分析工具。本文简要地推介了这四种可运用的伦理理论,并对于它们在媒体伦理研究中的前景和不足做了概要分析。

中庸思想对《黄帝内经》病因病机学说的渗透和影响

中庸思想作为中国传统哲学思想的优秀成果,核心理念为:“执中、适中、中和、不偏不倚,无过不及、权以用中。”中庸思想与《黄帝内经》从形成时间、渊源的文献比较、哲学本质等特征均可论证两者之间存在一定的哲学渊源,就病因病机层面而言,中庸思想对《黄帝内经》病因病机学说的理论建构起着巨大的渗透与影响作用。

论中国艺术设计之中庸精神

随着人类社会文明的高度发展,市场经济产品的同质化和全球化趋势加剧,在经济领域竞争过程中,已不再停留于产品初级使用功能和同化品质层面的竞争,而逐步演化为设计能力体现出来的文化特色和审美情趣高层次方面的尖端竞争。这就促使艺术设计产业中设计对民族文化艺术精神的衍生再发现和民族审美传统符号的追根溯源式再创作尤为迫切。文章将着手于从稳定和影响中国社会千百年的"中庸之道"精神文明系统对中国艺术设计视觉系统的交集部分进行讨论,对中国艺术精神与艺术设计教育,本土元素与艺术设计原创艺术性的后传统现象进行理性的思考和探析。