Humanistische Betrachtungen und Gegenwart

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A Note on "“GEIER’s Equations” and “GEIER’s Φ(e) ↔ Φ(α) Equilibrium Programme” with FIBONACCI/LUCAS extensions (GEIER’s Equations Part 2.1)"

Februar 16, 2026

A Note on "“GEIER’s Equations” and “GEIER’s Φ(e) ↔ Φ(α) Equilibrium Programme” with FIBONACCI/LUCAS extensions (GEIER’s Equations Part 2.1)" The paper stands out for the clarity and ambition of its organizing idea: to treat the interplay of fundamental interactions as an equilibrium problem expressed through a compact set of mathematically structured relations. Starting from the explicit postulates — gravitation linked to a 2 ℏ scale and a π \pi -based actio–reactio symmetry (Newton’s third law), and electromagnetism represented through e 2 e^2 — the authors build a coherent narrative where each symbolic choice has a stated conceptual role rather than being introduced ad hoc. The subsequent move to examine whether the golden ratio \Phi Φ can serve as a unifying “target” structure for the appearance of e e and \alpha α is presented as a motivated second step, especially given the long tradition of Φ -motivated reasoning in biological and structur...

A Note on "Quasicrystal Symmetry-Angle Frequencies and Tests of GEIER’s n×6° Rule or GEIER’s nx(2xand,or3)° Rule and Φ-Related Geometry; Part 4.1 of ‘Crystallography and GEIER’s n×6° Rule’"

Februar 13, 2026

A Note on "Quasicrystal Symmetry-Angle Frequencies and Tests of GEIER’s n×6° Rule or GEIER’s nx(2x and,or 3)° Rule and Φ-Related Geometry: GEIER’s nx6° Rule ↔ GEIER’s nx(2 x and,or 3)° Rule; GEIER’s nx6° Rule (Crystals C) ↔ (Quasicrystals and C) GEIER’s nx(2 x and,or 3)° Rule; Part 4.1 of ‘Crystallography and GEIER’s n×6° Rule’" From a technical, review-style perspective, the manuscript excels at turning the GEIER grid hypothesis into a clear, falsifiable arithmetic test on an openly documented benchmark (Chang LIU et al. Supplementary Table S1; n = 159; see op.cit.), with the symmetry order n mapped transparently to the fundamental increment θ=360∘/n before evaluating 6°/3°/2° divisibility. The quantitative reporting is unusually disciplined for an angle-regularity claim: beyond the headline coverage rates (e.g. 156/159 on the 6° grid, 159/159 on the 3° grid), GEIER et al. also provide exact CLOPPER–PEARSON binomial confidence intervals and explicitly emphasize the cu...

A Note on A φ-Hierarchy in Earth’s Degree-2 LOVE Numbers and its Relationship to GEIER’s α–e–Φ–√(π/5) Equations (LOVE Numbers and GEIER’s Equations, Part 1). ResearchGate (2025)

Januar 19, 2026

A Note on A φ-Hierarchy in Earth’s Degree-2 LOVE Numbers and its Relationship to GEIER’s α–e–Φ–√(π/5) Equations (LOVE Numbers and GEIER’s Equations, Part 1). ResearchGate Preprint (2025) Geier and colleagues advance an ambitious and unusually integrative hypothesis: that Earth’s degree-2 solid-Earth tidal response admits a compact parametrization in terms of the reciprocal golden ratio φ and the π/5 kernel that underlies it, and that this same geometric scaffold interfaces naturally with a broader α–e–Φ–√(π/5) constant-family proposed in their earlier work. 1 From a geophysical editorial standpoint, the manuscript’s main strength is that it anchors its numerical claims to operational standards and mainstream references rather than to cherry-picked single estimates. In particular, the IERS Conventions (2010) provide the canonical nominal degree-2 Love/Shida numbers used throughout modern geodesy (h₂≈0.6078, l₂≈0.0847; k₂≈0.29525 in the geopotential formulation), and the manuscri...

Heinrich HERTZ's Contact Law and NPC Passage by the HIV Capsid: Contact Mechanic Is Putative Relevant by the Twelve HIV Pentagons: The FIBONACCI number 5 at the Narrow End, and the LUCAS Number 7 at the Broad End and the FIBONACCI Numbers 3, 8, and 34 in the NPC

Dezember 13, 2025

Heinrich HERTZ's Contact Law and NPC Passage by the HIV Capsid: Contact Mechanic Is Putative Relevant by the Twelve HIV Pentagons: The FIBONACCI number 5 at the Narrow End, and the LUCAS Number 7 at the Broad End and the FIBONACCI Numbers 3, 8, and 34 in the NPC HIV-1 obeys Euler’s polyhedron formula with 12 CA pentamers capping the ends of the cone: 5 pentamers at the narrow end, 7 at the broad end (see Figure 4 etc. from “Passage of the HIV capsid cracks the nuclear pore“ by Kreysing, Jan Philipp et al., Cell, Volume 188, 2025, Issue4, 930 - 943.e21). This figure shows the fifth FIBONACCI number F(5) = 5 at the narrow end, and the fourth LUCAS Number L(4) = 7 at the broad end of the near ellipsoid cone (ovoid-like cone). Thus, even the substructure of the HIV capsid is in accordance with GEIER’s equations allowing FIBONACCI and LUCAS numbers. As L(n) = √5F(n) this is with 5=F(5) and √5 in direct relation to Daniel SCHECHTMAN’s quasicrystals by 5√5 = 5^(3/2) = 11.180. .. ≈ ...

My contribution to the #WorldAIDSDay2025: The HIV capsid is determined by multiples of 6°

Dezember 01, 2025

My contribution to the #WorldAIDSDay2025 : The HIV capsid is determined by multiples of 6° My contribution to the #WorldAIDSDay2025 : The HIV capsid is determined by multiples of 6° to more than 99%: 12 pentagons characterized by 72° = 12 x 6°. ~250 hexagons characterized by 60° = 10 x 6°. Therefore, the HIV capsid can be described by GEIER's equation Phi(electron) = k Phi(alpha) (pi/5)^1/2 (2hbar)^1/2 with (pi/5)^1/2 =6°. This insight on the arrangement of HIV capsid proteins (CA) will help to develop more advanced drugs against HIV and AIDS. Please, compare with "Cubane Angles as Multiples of 6° = √(π/5)rad (a New "Quantum" in Science): A More Than Reasonable Fit?" November 2025 DOI: 10.13140/RG.2.2.25206.25923 . Source of HIV-structure: X-Ray Structures of the Hexameric Building Block of the HIV Capsid. PORNILLOS, Owen et al. Cell, Volume 137, Issue 7, 1282 - 1292 . Yours Stefan Geier ; Haidholzen #WorldAIDSDay #worldAIDSday2025

Bias towards nuclear fission energy at the German Patent Office (DPMA)? Coincidence of "high‑status voices arguing that `serious´ climate protection requires a strong role for nuclear fission", and "hydrogen-relevance-denial by the DPMA"?

November 29, 2025

Bias towards nuclear fission energy at the German Patent Office (DPMA)? Coincidence of "high‑status voices arguing that `serious´ climate protection requires a strong role for nuclear fission", and "hydrogen-relevance-denial by the DPMA"? Debates on German energy policy increasingly feature high‑status voices arguing that “serious” climate protection requires a strong role for nuclear fission. A guest article for the Federal Agency for Civic Education ( Bundeszentrale für politische Bildung ) explicitly claims that “Kernenergie gehört zu einer guten Klimastrategie” and portrays nuclear power as reliable, CO₂‑arm baseload that Germany is giving up to its own disadvantage. bpb.de In the scientific literature, Jan Emblemsvåg’s peer‑reviewed article “What if Germany had invested in nuclear power?” concludes that an energy path based on keeping and expanding nuclear plants could have cut German emissions much more deeply while roughly halving system costs compared wi...

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Humanistische Betrachtungen und Gegenwart

Posts

Nachruf auf Sigrid Geier, verstorben im 1. Quartal 2026

A Note on "“GEIER’s Equations” and “GEIER’s Φ(e) ↔ Φ(α) Equilibrium Programme” with FIBONACCI/LUCAS extensions (GEIER’s Equations Part 2.1)"

A Note on "Quasicrystal Symmetry-Angle Frequencies and Tests of GEIER’s n×6° Rule or GEIER’s nx(2xand,or3)° Rule and Φ-Related Geometry; Part 4.1 of ‘Crystallography and GEIER’s n×6° Rule’"

A Note on A φ-Hierarchy in Earth’s Degree-2 LOVE Numbers and its Relationship to GEIER’s α–e–Φ–√(π/5) Equations (LOVE Numbers and GEIER’s Equations, Part 1). ResearchGate (2025)

Heinrich HERTZ's Contact Law and NPC Passage by the HIV Capsid: Contact Mechanic Is Putative Relevant by the Twelve HIV Pentagons: The FIBONACCI number 5 at the Narrow End, and the LUCAS Number 7 at the Broad End and the FIBONACCI Numbers 3, 8, and 34 in the NPC

My contribution to the #WorldAIDSDay2025: The HIV capsid is determined by multiples of 6°

Bias towards nuclear fission energy at the German Patent Office (DPMA)? Coincidence of "high‑status voices arguing that `serious´ climate protection requires a strong role for nuclear fission", and "hydrogen-relevance-denial by the DPMA"?