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"Channelrhodopsin geometry and Fibonacci–Lucas targets: testing Geier’s programme motivated by the Nobel Prize in Physiology or Medcine 2026" by Stefan A. Geier et al.

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Channelrhodopsin geometry and Fibonacci–Lucas targets: testing Geier’s programme  motivated by the Nobel Prize in Physiology or Medcine 2026: A coordinate-based case study of the native-sequence CrChR2 transmembrane domain   by Stefan A. Geier*, Caroline Geier, Stephanie Geier, Constantin Geier, Katharina Geier, Nora Blättermann-Goldstein, and Michèle Geier-Noehl** Institute for Structuralistic Theory of Sciences Simssee (ISTS), Gerhart-Hauptmann-Straße 6, 83071 Haidholzen, Germany; and Ludwig-Maximilians-Universität Munich, Germany. **Dermatologische Klinik der Landeshauptstadt und der Ludwig-Maximilians-Universität LMU München, Thalkirchner Straße 48, 80337 Munich, Germany. *Correspondence: Stefan A. Geier; wissenschaftstheorie.simssee.1@gmail.com Abstract  Channelrhodopsins provide a tractable test of proposed connections between protein architecture, Fibonacci and Lucas numbers, and the golden ratio. We analysed the experimentally determined Cα coordinates of Chl...

"Nevers et al. protein length fit to Lucas and Fibonacci targets - Descriptive statistics with adjacent midpoints and a Brocchieri & Karlin comparison - Additional evidence for generality of Geier's equations" by Stefan A. Geier et al.

Nevers et al. protein length fit to Lucas and Fibonacci targets - Descriptive statistics with adjacent midpoints and a Brocchieri & Karlin comparison - Additional evidence for generality of Geier's equations by Stefan A. Geier*, Caroline Geier, Stephanie Geier, Constantin Geier, Katharina Geier, Nora Blättermann-Goldstein, and Michèle Geier-Noehl** Institute for Structuralistic Theory of Sciences Simssee (ISTS), Gerhart-Hauptmann-Straße 6, 83071 Haidholzen, Germany; and Ludwig-Maximilians-Universität Munich, Germany. **Dermatologische Klinik der Landeshauptstadt und der Ludwig-Maximilians-Universität LMU München, Thalkirchner Straße 48, 80337 Munich, Germany. *Correspondence: Stefan A. Geier; wissenschaftstheorie.simssee.1@gmail.com Summary: This report evaluates the numerical proximity of protein-length summaries in Nevers and colleagues to Lucas numbers, Fibonacci numbers, and arithmetic midpoints between adjacent values in their sorted union. The three domain summaries print...

Structural Convergence of Giant Macromolecules: The Cross-Sequence Fibonacci-Lucas Midpoint Fit of Human Mucin-16 - Additional evidence for generality of Geier's equations by Stefan A. Geier et al.

Structural Convergence of Giant Macromolecules: The Cross-Sequence Fibonacci-Lucas Midpoint Fit with 95.2% of Human Mucin-16 -  Additional evidence for generality of Geier's equations Stefan A. Geier*, Caroline Geier, Stephanie Geier, Constantin Geier, Katharina Geier, Nora Blättermann-Goldstein, and Michèle Geier-Noehl** Institute for Structuralistic Theory of Sciences Simssee (ISTS), Gerhart-Hauptmann-Straße 6, 83071 Haidholzen, Germany; and Ludwig-Maximilians-Universität Munich, Germany. **Dermatologische Klinik der Landeshauptstadt und der Ludwig-Maximilians-Universität LMU München, Thalkirchner Straße 48, 80337 Munich, Germany. *Correspondence: Stefan A. Geier; wissenschaftstheorie.simssee.1@gmail.com Summary: Human Mucin-16 (CA-125) is one of the largest known human proteins. This membrane-bound glycoprotein comprises a canonical core sequence of 22,152 amino acids. While macromolecular lengths are traditionally attributed to evolutionary selection and genomic duplication eve...