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Phase Transitions Governed by the Fifth Power of the golden mean and Beyond

World Journal of Condensed Matter Physics 2020年第3期10卷 135-158页

作者： Hans Hermann Otto Materials Science and Crystallography Clausthal University of Technology Clausthal-Zellerfeld Lower Saxony Germany

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

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golden Quartic Polynomial and Moebius-Ball Electron

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Journal of Applied Mathematics and Physics 2022年第5期10卷 1785-1812页

作者： Hans Hermann Otto Materials Science and Crystallography Clausthal University of Technology Clausthal-Zellerfeld Germany

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.

关键词： golden Qartic Polynomial Number Theory Icosahedron Equation golden mean Fifth Power of the golden mean Moebius Ball Electron Structure Chirality Fine-Structure Constant Fibonacci Number 13 Lucas Numbers Superconductivity

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Magic Numbers of the Great Pyramid: A Surprising Result

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Journal of Applied Mathematics and Physics 2020年第10期8卷 2063-2071页

作者： Hans Hermann Otto Department of Materials Science and Crystallography Clausthal University of Technology Clausthal-Zellerfeld Germany

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.

关键词： Geometry Great Pyramid In-Sphere Volume golden mean Fifth Power of golden mean Fibonacci Number 13 Curious Angel Arcsin (φ5)

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A Different Approach to High-Tc Superconductivity: Indication of Filamentary-Chaotic Conductance and Possible Routes to Room Temperature Superconductivity

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World Journal of Condensed Matter Physics 2016年第3期6卷 244-260页

作者： Hans Hermann Otto Materialwissenschaftliche Kristallographie Clausthal University of Technology Clausthal-Zellerfeld Lower Saxony Germany

The empirical relation of between the transition temperature of optimum doped superconductors Tco and the mean cationic charge , a physical paradox, can be recast to strongly support fractal theories of high-Tc superconductors, thereby applying the finding that the optimum hole concentration of σo = 0.229 can be linked with the universal fractal constant δ1 = 8.72109… of the renormalized quadratic Hénon map. The transition temperature obviously increases steeply with a domain structure of ever narrower size, characterized by Fibonacci numbers. However, also conventional BCS superconductors can be scaled with δ1, exemplified through the energy gap relation kBTc ≈ 5Δ0/δ1, suggesting a revision of the entire theory of superconductivity. A low mean cationic charge allows the development of a frustrated nano-sized fractal structure of possibly ferroelastic nature delivering nano-channels for very fast charge transport, in common for both high-Tc superconductor and organic-inorganic halide perovskite solar materials. With this backing superconductivity above room temperature can be conceived for synthetic sandwich structures of less than 2+. For instance, composites of tenorite and cuprite respectively tenorite and CuI (CuBr, CuCl) onto AuCu alloys are proposed. This specification is suggested by previously described filamentary superconductivity of “bulk” CuO1﹣x samples. In addition, cesium substitution in the Tl-1223 compound is an option.

关键词： Superconductivity Fractals Chaos Feigenbaum Numbers Fibonacci Numbers golden mean Ferroelastic Domains mean Cationic Charge Perovskites Cuprates Tenorite Cuprite Cesium Substitution Solar Power Conversion Efficiency

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

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Journal of Applied Mathematics and Physics 2021年第10期9卷 2558-2577页

作者： Hans Hermann Otto Materials Science and Crystallography Clausthal University of Technology Clausthal-Zellerfeld Germany

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.

关键词： DNA Genetic Code DNA Resonance Code Qartic Polymial golden mean Silver mean Fifth Power of the golden mean Fiboacci Number 13 α-Helix Icosahedron Equation Number Theory Quantum Computation Consciousness Dark Energy Electron’s Structure

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从中庸之道到“无知之幕”：四种媒体伦理理论评析

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新闻与传播 2015年第3期

作者：展江彭桂兵

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... 详细信息

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。

关键词：媒体伦理中庸之道绝对命令功利主义 “无知之幕” media ethics golden mean categorical imperative utilitarianism "veil of ignorance"

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