Do vaults fit GEIER's programme? - Yes! Therefore, a relevant hypothesis ... ! - A first look by Stefan Geier et al.

Do vaults fit GEIER's programme? - Yes! Therefore, a relevant hypothesis ... ! - A first look

by Stefan Geier et al.

1. 78 major vault proteins fit the 9th LUCAS-number 76 with 97.4%. GEIER's Equations may be worth being considered.

2. In addition, 78 = 2 x 3 x 13 = 2 x 3 x F7, with F7 the 7th FIBONACCI-number, would fit GEIER's "2 x 3 Rule" and GEIER's Equations with 100%; therefore, vaults should be analysed with this point of view, too. (Both findings indicate that GEIER's equlibrium standpoint including GEIER's equations and GEIER's 2x3 Rule is a successfull theory. An equilibrium explains 1. as well as 2. . Further analyses are appropriate.)
Yours Stefan Geier, Haidholzen

Wikipedia, today: PDB ID: 2ZUO H. Tanaka, K. Kato, et al. The Structure of Rat Liver Vault at 3.5 Angstrom Resolution. Science 323 pp. 384 (2009)

Addita: 1. vRNA lengths fit the region of F11=89 to F12=144 with the 10th LUCAS-number 123 in the middle. (Wikipedia, 4.7.2026: 86 to 141 nt, center 127.5 nt; this provides additional - however weak - evidence for GEIER's programme.)

2. Main fit table provides additional evidence:

Biological quantity	Value	Nearest Fibonacci	Fit	Nearest Lucas	Fit	Best fit
MVP copies per full vault	78	F10 = 55	70.51%	L9 = 76	97.44%	Lucas
13-fold cap/symmetry feature reported in newer structural discussions	13	F7 = 13	100%	L6 = 18	61.54%	Fibonacci
Human MVP length	893 aa	F16 = 987	89.47%	L14 = 843	94.40%	Lucas
Rat MVP length	861 aa	F16 = 987	85.37%	L14 = 843	97.91%	Lucas
Human PARP4/vPARP	1,724 aa	F17 = 1597	92.63%	L15 = 1364	79.12%	Fibonacci
Human TEP1	2,627 aa	F18 = 2584	98.36%	L16 = 2207	84.01%	Fibonacci
Human hvg-1 / vtRNA1-1	98 nt	F11 = 89	90.82%	L10 = 123	74.49%	Fibonacci
Human hvg-2/hvg-3	88 nt	F11 = 89	98.86%	L9 = 76	86.36%	Fibonacci
Rodent vtRNA	141 nt	F12 = 144	97.87%	L10 = 123	87.23%	Fibonacci
Bullfrog vtRNA 1	89 nt	F11 = 89	100%	L9 = 76	85.39%	Fibonacci
Bullfrog vtRNA 2	94 nt	F11 = 89	94.68%	L10 = 123	69.15%	Fibonacci

(Note on human vRNA/vtRNA: Human vRNA does not refute the Fibonacci/Lucas hypothesis; rather, it shows a split pattern. The two 88-nt human vRNAs remain very near F11=89, whereas the 98-nt vRNA1-1 deviates. This suggests that Fibonacci/Lucas nearness may be strongest in structurally constrained or ancestral-like vRNAs, while paralogue-specific regulatory evolution can shift the length away from the nearest Fibonacci number.)

Graphical abstract:

References:
a) https://www.science.org/content/article/biologist-aims-solve-cell-s-biggest-mystery-could-it-help-cancer-patients-too?utm_campaign=Science&utm_medium=ownedSocial&utm_source=facebook&fbclid=IwY2xjawS05s9leHRuA2FlbQIxMQBzcnRjBmFwcF9pZBAyMjIwMzkxNzg4MjAwODkyAAEe2oNHaw-wxfbVGbUOXoS7BESvauMpossUTKpZ6AQFhnEYVYj2P5VlFXMF6Oo_aem_OLBqNwX9Zc4Ezbx31aEOQA&__cf_chl_f_tk=yPapKoaJZuQHuirR0DXkQQ298De70FTrBdzOZfcd3vU-1783105407-1.0.1.1-qfw2afZnphltQIGGZSiRAAU7wHglHlQBxdbuQHwWWOY#

b) Science on Facebook, today:

"Leonard Rome’s lab discovered an odd, abundant component of cells in the 1980s—and he’s still trying to figure out what it does.
Learn more: https://scim.ag/4fMmFKg #ScienceMagArchives"

c) Stefan Geier on Blogger and ResearchGate ... : ... .

d) Yu-Kai Chao et al. , A genetically encoded device for transcriptome storage in mammalian cells.Science391,eadz9353(2026).DOI:10.1126/science.adz9353391,eadz9353(2026).DOI:10.1126/science.adz9353