Very Crazy Hypothesis: The 9 + x Structure of Sperms Reflects an Evolutionary Adaption to the 9 Space Dimensions (3 NEWTON-EINSTEIN and & 6 CALABI-YAU) of String Theories

Very Crazy Hypothesis: The 9 + x Structure of Sperms Reflects an Evolutionary Adaption to the 9 Space Dimensions (3 NEWTON-EINSTEIN and & 6 CALABI-YAU) of String Theories such as M-Theory or F-Theory
by Stefan Geier

We would like to introduce, in the context of GEIER’s equations and GEIER's r(KKCYMF), the hypothesis that most species' 9 + x structure of flagellar segments of sperms (* Fig. 2) reflects an evolutionary adaption to the 9 space dimensions (3 NEWTON-EINSTEIN and & 6 CALABI-YAU) of most string theories such as M-Theory or F-Theory. (x is standing for the brane dimension and the up to 2 additional time dimensions.)

Hypothesis: The 9 + x Structure of Flagellar Segments of Most Sperms Reflects an Evolutionary Adaption to the 9 Space Dimensions (3 NEWTON-EINSTEIN and & 6 CALABI-YAU) of String Theories such as M-Theory or F-Theory.

References:

· Geier Stefan et al. Sperm cell radii and GEIER's r(KKCYMF): all our literature-derived sperm-cell radius records pass the r(KKCYMF) or d(G) benchmark (Sperm Cell Radii and rKKCYMF = dG/2, Part 2) ResearchGate, 2. May 2026, DOI: 10.13140/RG.2.2.25575.61609.
· Geier Stefan et al. Hypothesis: The Long Spermatozoa in Ostracods and Drosophila are Caused by Gravitational Forces comparable to Spaghettification  (Spermatozoa Spaghettification in Ostracods and Drosophila by Gravitational Forces) https://humanistischebetrachtungen1.blogspot.com/2026/05/hypothesis-long-spermatozoa-in.html (2026).
· *Gu NH, Zhao WL, Wang GS, Sun F. Comparative analysis of mammalian sperm ultrastructure reveals relationships between sperm morphology, mitochondrial functions and motility. Reprod Biol Endocrinol. 2019 Aug 15;17(1):66. doi: 10.1186/s12958-019-0510-y. PMID: 31416446; PMCID: PMC6696699.
· Hawking Stephen: A Brief History of time. Bantam Dell Publishing Group (1988).
· Jia, Ye-Lin et al. Normal sperm head morphometric reference values in fertile Asian males. Asian J. Androl. 26, 315-320 (2024).
· Matzke-Karasz, Renate Giant spermatozoon coiled in small egg: fertilization mechanisms and their implications for evolutionary studies on Ostracoda. J. Exp. Zool. B Mol. Dev. Evol. 304B, 129-149 (2005).
· Matzke-Karasz, Renate. et al. Sexual intercourse involving giant sperm in Cretaceous ostracode. Science 324, 1535 (2009).
· Matzke-Karasz, Renate et al. Exceptional preservation of reproductive organs and giant sperm in Cretaceous ostracods. Proc. R. Soc. B 287, 20201661 (2020).
· Smith, R. J., Matzke-Karasz, R., Kamiya, T. & De Deckker, P. Sperm lengths of non-marine cypridoidean ostracods (Crustacea). Acta Zool. 97, 1-17 (2016).
· Smith, R. J., Matzke-Karasz, R. & Kamiya, T. Sperm length variations in five species of cypridoidean non-marine ostracods (Crustacea). Cell Tissue Res. 366, 483-497 (2016).
· *Touré, A. Importance of SLC26 Transmembrane Anion Exchangers in Sperm Post-testicular Maturation and Fertilization Potential. Front. Cell Dev. Biol. 7:230 (2019).

Yours sincerely,
Stefan Geier
Gerhart-Hauptmann-Str.6
83071 Haidholzen, Germany

(Of course, somehow "very crazy". See: Roger PENROSE)

Touré A (2019) Importance of SLC26 Transmembrane Anion Exchangers in Sperm Post-testicular Maturation and Fertilization Potential. Front. Cell Dev. Biol. 7:230. doi: 10.3389/fcell.2019.00230 (Wikipedia Commons)

Please, have a look at the Fibonacci-number and Lucas-number structure of
a) the cross-sectio:
LC: 2 = F(3) = L(0)
ODF above LC: 3 = F(4) = L(2)
ODF below LC: 4 = L(3)
b) the midpiece:
Mitochondria (left and right): 8 x 2 = F(6) x F(3) or F(6) x L(0)
This Fibonacci-number and Lucas-number structure of the flagellum of mammalian spermatoza provides evidence, however weak, for GEIER's equations.

The first Fibonacci numbers and Lucas numbers:

Fibonacci F(n): 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...
Lucas L(n): 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, ...