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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

Nuclear Fusion Research and Development Need New Relativistic Mass and Energy Corrections Given by the Information Relativity Theory

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Journal of Applied Mathematics and Physics 2022年第5期10卷 1813-1836页

作者： hans hermann otto Materials Science and Crystallography Clausthal University of Technology Clausthal-Zellerfeld Germany

Hundred years after the conjecture of the British astronomer Eddington that the sun is powered by nuclear fusion of hydrogen, new physics theory may help make energy harvesting by nuclear fusion soon a reality. Researchers as well as investors funding fusion megaprojects are asked to deal with new relativistic corrections for mass and energy proposed by Suleiman in his Information Relativity Theory (IRT). These corrections were calculated in this contribution. It will help to decide whether a venture will be successful and to save big investments when in doubt. The assumed optimal kinetic energy for controlled nuclear fusion must be corrected to a somewhat higher level. At very high kinetic energy in the upper GeV range, it remains not enough baryonic mass to be transformed in energy. The fusion probability faded out to zero already at the golden limit of the recession speed of between target nucleon and projectile nucleon. Cold nuclear fusion, if ever possible, is recommended for protons rather than deuterons at highest experimental possible temperatures around 1000 (K) and needs fine-tuned kinetic nucleon energy. It would be also of interest whether a golden ratio based nuclear fuel confinement chamber could be beneficial. In this connection, also cold nuclear fusion setups should be discussed. Nature is governed by the golden ratio and criticality of physical systems influenced by it, and nuclear physics is not an exception. Computer simulations of the underlying controlled nuclear fusion processes should gain profit from IRT corrected starting information and may tackle anew possible low energy nuclear transmutations considering the wave-like dark components of matter and energy.

关键词： Controlled Thermonuclear Fusion IRT Theory Relativistic Mass Correction Low Energy Nuclear Reaction Golden Ratio Golden Limit of Nuclear Fusion

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

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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

New Superionic Memory Devices Can Provide Clues to the Human Memory Structure and to Consciousness

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Journal of Applied Mathematics and Physics 2023年第2期11卷 377-376页

作者： hans hermann otto Materialwissenschaftliche Kristallographie Clausthal University of Technology Clausthal-Zellerfeld Lower Saxony Germany

Since the work of Penrose and Hameroff the possibility is discussed that the location of human memory and consciousness could be connected with tubulin microtubules. If one would use superionic nano-materials rolled up to microtubules with an electrolyte inside the formed channels mediating fast ionic exchange of protons respectively lithium ions, it seems to be possible to write into such materials whole image arrays (pictures) under the action of the complex electromagnetic spectrum that composes these images. The same material and architecture may be recommended for super-computers. Especially microtubules with a protofilament number of 13 are the most important to note. We connected such microtubules before with Fibonacci nets composed of 13 sub-cells that were helically rolled up to deliver suitable channels. Our recent Fibonacci analysis of Wadsley-Roth shear phases such as niobium tungsten oxide , exhibiting channels for ultra-fast lithium-ion diffusion, suggests to use these materials, besides super-battery main application, in form of nanorods or microtubules as effectively working superionic memory devices for computers that work ultra-fast with the complex effectiveness of human brains. Finally, we pose the question, whether dark matter, ever connected with ultrafast movement of ordinary matter, may be responsible for synchronization between interactions of human brains and consciousness.

关键词： Memory Device Niobium Tungsten Oxide Crystallographic Shear Lithium Intercalation Superionicity Super Battery Fibonacci Nets Fibonacci Stoichiometry Tubulin Microtubules

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

Galactic Route to the Strong Coupling Constant α_s(m_z) and Its Implication on the Mass Constituents of the Universe

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Journal of Applied Mathematics and Physics 2022年第12期10卷 3572-3585页

作者： hans hermann otto Materials Science and Crystallography Clausthal University of Technology Clausthal-Zellerfeld Germany

Some fundamental physical quantities need an alternative description. We derive the word average value of interaction coupling constant αs(mz) from the observed maximum galactic rotation velocity by the simple relation , where is the velocity, at which the difference between galactic rotation velocity and Thomas precession is equal, and α is Sommerfeld’s constant. The result is in excellent agreement with the value of αs = 0.1170 ± 0.0019, recently measured and verified via QCE analysis by CERN researchers. One can formulate a reciprocity relation, connecting αs with the circle constant: . It is the merit of Preston Guynn to derive the Milky Way maximum value of the galactic rotation velocity βg, pointing to its “extremely important role in all physics”. The mass (energy) constituents of the Universe follow a golden mean hierarchy and can simply be related to the maximum of Guynn’s difference velocity respectively to αs(mz), therewith excellently confirming Bouchet’s WMAP data analysis. We conclude once more that the golden mean concept is the leading one of nature.

关键词： Strong Coupling Constant Sommerfeld’ Constant Gravitational Coupling Constant Galactic Velocity Structure-Matter Theory Reciprocity Relation Goldem Mean Hierarchy Mass and Energy Constituents of the Universe Superconductivity Matter-Antimatter Asymmetry Unification of Science

Fibonacci Stoichiometry and Superb Performance of Nb₁₆W₅O₅₅ and Related Super-Battery Materials

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Journal of Applied Mathematics and Physics 2022年第6期10卷 1936-1950页

作者： hans hermann otto Materialwissenschaftliche Kristallographie Clausthal University of Technology Clausthal-Zellerfeld Lower Saxony Germany

In this contribution, two important crystallographic concepts for the formation of a series of block structures associated with channeling have been compared: chemical twinning and crystallographic shear. Twin planes respectively shear planes besides formed channels serve as a sink for charge carriers or, when the oxidation state of metal ions can be reduced, as a reservoir for intercalated lithium. In this way, Wadsley-Roth shear phases such as niobium tungsten oxide exhibit channels for ultra-fast lithium-ion diffusion. They are in focus as anode material for super-batteries, superb in terms of energy respectively power density, charging time, cycle life and safety. It should be noted that the transition metal to oxygen ratio TM/O = 21/55 of the title compound is a Fibonacci number quotient. Also, the crystal lattice can be traced back to Fibonacci geometry. When replacing only 0.0213 tungsten atoms in the formula with less expensive titanium, a TM/O ratio of 0.381966 =ϕ2 can be adapted besides an average valence electron concentration of 2⋅ϕ-2, where represents the most irrational number of the golden mean. The additional disorder caused by even such small titanium replacement and accompanied oxygen vacancies could fasten up the already high lithium diffusion further. Ultrasonic treatment may be applied besides thermal cycling to prepare phase-pure of the highest electrochemical performance. A replacement of oxygen by some fluorine atoms is an obvious synthesis possibility, but the higher binding energy expected between lithium and fluorine in contrast to oxygen may rather hinder than promote lithium diffusion.

关键词： Super Battery Niobium Tungsten Oxide Crystallographic Shear Chemical Twinning Fibonacci Stoichiometry Ti Substitution

Comment to Guynn’s Fine-Structure Constant Approach

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Journal of Applied Mathematics and Physics 2022年第9期10卷 2796-2804页

作者： hans hermann otto Materials Science and Crystallography Clausthal University of Technology Clausthal-Zellerfeld Lower Saxony Germany

Sommerfeld’s fundamental fine-structure constant α once more gives reason to be amazed. This comment is a Chapter of a publication in preparation dealing mainly with golden ratio signature behind Preston Guynn’s famous matter/space approach. As a result we present a relation of α to the galactic velocity , mediated by the circle constant π, which points to an omnipresent importance of this constant and its intrinsic reciprocity pecularity: α ≈ π2|βg| respectively . The designation fine-structure constant should be replaced simply by Sommerfeld’s constant. We present golden mean-based approximations for α as well as for electron’s charge and mass and connect the word average value of interaction coupling constant αs(mz) with |βg|.

关键词： Structure-Matter Theory Thomas Precession Sommerfeld’ Constant Galactic Velocity Reciprocity Relation Goldem Mean Gyromagnetic Factor Unification of Science

Ratio of In-Sphere Volume to Polyhedron Volume of the Great Pyramid Compared to Selected Convex Polyhedral Solids

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Journal of Applied Mathematics and Physics 2021年第1期9卷 41-56页

作者： hans hermann otto Materials Science and Crystallography Clausthal University of Technology Clausthal-Zellerfeld Germany

The architecture of the Great Pyramid at Giza is based on fascinating golden mean geometry. Recently the ratio of the in-sphere volume to the pyramid volume was calculated. One yields as result RV = π ⋅ φ5, where is the golden mean. It is important that the number φ5 is a fundamental constant of nature describing phase transition from microscopic to cosmic scale. In this contribution the relatively small volume ratio of the Great Pyramid was compared to that of selected convex polyhedral solids such as the Platonic solids respectively the face-rich truncated icosahedron (bucky ball) as one of Archimedes’ solids leading to effective filling of the polyhedron by its in-sphere and therefore the highest volume ratio of the selected examples. The smallest ratio was found for the Great Pyramid. A regression analysis delivers the highly reliable volume ratio relation , where nF represents the number of polyhedron faces and b approximates the silver mean. For less-symmetrical solids with a unique axis (tetragonal pyramids) the in-sphere can be replaced by a biaxial ellipsoid of maximum volume to adjust the RV relation more reliably.

关键词： Polyhedron Great Pyramid Platonic Solids Volume-Area Ratio In-Sphere and In-Ellipsoid Polyhedral Void Space Golden and Silver Mean