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Normalized Bridge Factors Dimensionality Exponent Fits CKM Matrix Probabilities

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Normalized Bridge Factors Dimensionality Exponent Fits CKM Matrix Probabiliti es by Stefan Geier, Haidholzen Our exponent 5.7315 (Figure 3. below) fits the CKM matrix probabilities by 5.7315/6=0.95525 > 0.9734^2 (https://advancedphysicsinthe21stcenturysg.blogspot.com/2026/03/hypothesis-quarks-follow-geiers.html). Figure 3. Logarithmic residual n ln κ_α + ln κ_e. The exact real solution is the zero crossing; integer n=6 is the nearest tested integer. (Geier Stefan et al.: Normalized Bridge Factors of the Elementary Charge e and of Sommerfeld's Alpha in Relation to Φ: Inverse-Sixth-Root, Seven-Factor Seventh-Root, and Kaluza-Klein- Calabi-Yau Cellular-Scale Compactification -A First Approximation. June 2026 DOI:  10.13140/RG.2.2.12060.04481 ) CKM matrix = Cabibbo–Kobayashi–Maskawa matrix, quark mixing matrix, or KM matrix

Tick-borne encephalitis virus (TBEV) and FIBONACCI and LUCAS numbers - A first look by Stefan Geier

Tick-borne encephalitis virus (TBEV) and FIBONACCI- and LUCAS-numbers - A first look by Stefan Geier The genome length of the tick-borne encephalitis virus (TBEV) is 11,097 nucleotides. The 21th FIBONACCI-number is 10,946. The genome length of TBEV fits the 21th FIBONACCI-number with 98.6 % precision. Therefore we conclude that the tick-borne encephalitis virus (TBEV) fits our considerations on FIBONACCI- and LUCAS-numbers and GEIER's equations. References: Frey S, Essbauer S, Zöller G, Klempa B, Weidmann M, Dobler G, Pfeffer M. Complete Genome Sequence of Tick-Borne Encephalitis Virus Strain A104 Isolated from a Yellow-Necked Mouse (Apodemus flavicollis) in Austria. Genome Announc. 2013 Aug 8;1(4):e00564-13. doi: 10.1128/genomeA.00564-13. PMID: 23929473; PMCID: PMC3738889. Geier Stefan et al. "GEIER's Equations" and "GEIER's Φ(e) ↔ Φ(α) Equilibrium Programme" with FIBONACCI/LUCAS extensions (GEIER's Equations Part 2.1). ResearchGate, February 2026, ...

Comment on the Inverse Sixth-Radix Bridge in the Stefan Geier et al. Normalized Bridge-Factor Manuscript: Normalized Bridge Factors of the Elementary Charge e and of Sommerfeld's Alpha in Relation to Φ: Inverse-Sixth-Root, Seven-Factor Seventh-Root, and Kaluza-Klein-Calabi-Yau Cellular-Scale Compactification – A First Approximation (June 2026, DOI: 10.13140/RG.2.2.12060.04481)

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  Comment on the Inverse Sixth-Radix Bridge in the Stefan Geier et al. Normalized Bridge-Factor Manuscript: Normalized Bridge Factors of the Elementary Charge e and of Sommerfeld's Alpha in Relation to Φ: Inverse-Sixth-Root, Seven-Factor Seventh-Root, and Kaluza-Klein-Calabi-Yau Cellular-Scale Compactification – A First Approximation ( June 2026, DOI:  10.13140/RG.2.2.12060.04481 )   One-sentence abstract. The inverse sixth-radix relation κ_α ≈ κ_e^{−1/6} is the most mathematically disciplined and physically suggestive part of the Geier et al. bridge-factor proposal, because it is sign-correct, numerically specific, and naturally comparable with a six-real-dimensional compact-volume heuristic while remaining explicitly open to falsification. Abstract. This comment offers a strongly positive assessment of the inverse sixth-radix, or inverse sixth-root, aspect of the manuscript by S. A. Geier et al. [1]. The paper defines two normalized residual bridge factors, κ_e = ...

Stefan Geier's Diploma Thesis and James Deese's Butterfly Experiment: transition probabilities and triangular-tetrahedral-hexagonal cognitive-neuronal structures and artificial intelligence and neurophysiology

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Stefan Geier's Diploma Thesis (LMU Munich, 1987) and James Deese's Butterfly Experiment: Transition probabilities, triangular-tetrahedral-hexagonal cognitive-neuronal structures, artificial intelligence, and neurophysiology. (A first look) Stefan Geier's Diploma Thesis (LMU Munich, 1987) can be compressed into one central scientific statement: cognitive structures are scale-dependent. Associative near terms and concepts are best described by transition probabilities. Distant terms and concepts in Geier's analyses of James Deese's butterfly field are best described by a triangular-tetrahedral(-hexagonal) structure, featuring Nature as the superordinate apex and Fauna , Seasons/Sun , and Colors/Sky forming the basal triangle. The hexagonal extension is a necessary consequence of the triangular, near-equilateral basic structure of the cognitive map and its geometric representation. The thesis recognizes a completely different regime for closely associated terms. Near...