Humanistische Betrachtungen und Gegenwart

  Titin  fits a LUCAS-FIBONACCI-midpoint with more than 99% -  Another 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 Titin is encoded by the TTN gene on chromosome 2q31.2. It forms a continuous structural bridge spanning from the sarcomeric Z-disk to the M-band. Biomechanical studies confirm that its extensible I-band region develops passive force during cellular diastole. Because titin contains thousands of repeating immunoglobulin (Ig) and fibronec...

Protein length approximation by Lucas and Fibonacci targets – A first "proof" for generality 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 1. Across the complete, reviewed canonical human proteome (UniProt UP000005640, ~20,400 reviewed canonical proteins) length data give the following results: Exact Mean Length : 472.5 amino acids (commonly cited as ~470–480 aa in proteomic literature). Exact Median Length : 375 amino acids. Standard Deviation : ~595 amino acids. Interquartile Range (IQR)...

  Protein length approximation by Lucas and Fibonacci targets – A first hint for generality? 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 Version 0.0.0.0   | 29. September 2026   Abstract Protein lengths provide a simple description of molecular organisation, but numerical agreement requires explicit targets and tolerances. 1,2 Motivated by Geier’s proposals, 3,4 we “prospectively” analysed a randomly derived table of 100 human protein lengths and 100 paired reported segment len...

  From Sigmund FREUD’s Free Association to AI’s Predictive Language: Sigmund Freud, artificial intelligence, and the science of associative meaning – 1 st propaedeutics   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 Version 0.0.0.0   Structured abstract: Background. Association has distinct meanings in psychoanalysis, experimental psychology and machine learning. Their common concern with contextual relationships creates a basis for comparison without establishing psychol...

  The Geometrical Architecture of Tau: Assessing Structural Domain Organization via Fibonacci, Lucas, and Midpoint Proportions   - A First Look by Stefan Geier, Katharina Geier et al., ISTS Simssee, Gerhart-Hauptmann-Strasse 6, 83071 Stephanskirchen Abstract Human microtubule-associated protein tau (MAPT) exists as a structural shapeshifter, expressed in the adult central nervous system as six distinct alternative-spliced isoforms ranging from 352 to 441 amino acids. While traditional structural biology treats tau as an intrinsically disordered protein (IDP) governed strictly by stochastic conformational ensembles, this paper explores an alternative, appreciative paradigm: the striking mathematical alignment of tau's isoform lengths and domain boundaries with the Fibonacci ( $F_n$ ) and Lucas ( $L_n$ ) sequences, alongside their mathematical midpoints. Rather than dismissing these matches as numerological artifacts, we highlight how these recurring integer series provide ...

  A Structural Assessment of Human Alpha-Synuclein Domains: Testing Correlations with Fibonacci, Lucas, and Midpoint Sequences - A First Look by Stefan Geier, Katharina Geier et al., ISTS Simssee, Gerhart-Hauptmann-Strasse 6, 83071 Stephanskirchen Abstract Human alpha-synuclein ( $\alpha$ -syn) is a 140-amino-acid intrinsically disordered protein heavily implicated in Parkinson’s disease pathology. While numerical alignments between its structural domains and mathematical sequences (such as Fibonacci, Lucas, and their midpoints) can be generated, this paper evaluates whether these correlations represent an underlying biological principle or a stochastic artifact. Our analysis demonstrates that while $\alpha$ -syn’s domain lengths are constrained by functional, lipid-binding amphipathic motifs, matches to integer sequences lack selective evolutionary mechanisms and are primarily the product of mathematical curve-fitting. 1. Introduction Alpha-synuclein ( $\alpha$ -syn) plays a centr...