• Jean-Claude Perez Phd Maths § Computer Science Bordeaux University, RETIRED Interdisciplinary Researcher (IBM Emeritus, IBM European Research Center On Artificial Intelligence Montpellier), Bordeaux Metropole, France



Vaccines, Spikes, Fibonacci, Numerical


In this paper, we suggest a biomathematical numerical method for analysing mRNA nucleotides sequences based on UA/CG Fibonacci numbers proportions.

This method is used to evaluate then compare the spike genes related to the main SARS-CoV2 VARIANTS currently circulating within the world population.

The 10 main results proposed to be reproduced by peers are:

  • SARS-CoV2 genome and spike evolution in one year 2020-2021.
  • SARS-CoV2 Origins.
  • Comparing 11 reference variants spikes.
  • Analysing 32 CAL.20C California variant patients’ spikes.
  • Toward a meta mRNA Fibonacci gene end message code.
  • Analysing S501 UK, S484 South Africa and « 2 mutations » INDIA variants.
  • Suggesting a possible variants spike mRNA palindrome symmetry metastructure improving mRNA stability then infectiousness.
  • Analysing Fibonacci Metastructures in the mRNA coding for the vaccines PFIZER and MODERNA.
  • Does the CG-rich modification of the synonymous codons of the spikes of the 2 mRNA vaccines affect the expression and quantity of SARS-CoV2 antibodies?
  • The exceptional case of the Brazilian variant P.1.

Particularly, we suggest the following conjecture at mRNA folding level:


The growth of long Fibonacci structures in the shape of "podiums" for almost all of the variants studied (UK, California, South Africa, India, etc.) suggests the probable folding of the Spike mRNA in the form of a "hairpin", which can strengthen the cohesion and the lifespan of this mRNA.

Finally, we show that these kinds of Fibonacci matastructures disapear TOTALLY by analysing the published mRNA sequences of PFIZER and MODERNA vaccines. One fact is certain, the two mRNAs of the Moderna and Pfizer vaccines will result in a low functionality of the spike vaccine. This is because their designers by seeking greater stability, have doped to build CG rich sequences   which, as soon as they are inserted into the human host, will, paradoxically, seek to mutate, like SARS-CoV2 variants, towards CG ==> UA forms in order to improve their STABILITY and LIFETIME. We conclude using new biomathematics theoretical methods (Master code and numerical standing waves), and comparing the Spikes of the two vaccines Moderna and Pfizer, that there will be very probable differences in stability and shelf life of the two respective mRNAs vaccines. However, “State of the Art” analyzes will disclose that their two protein sequences are strictly identical. By modified their synonymous codons using different strategies, no one can guarantee that the quantity of antibodies generated will be identical in the two cases.

We wish to draw attention to the great ADAPTATION power - at the global scale of their genomes - of the most infectious VARIANTS, such as the BRAZIL 20J / 501Y.V3 variant (P.1). This is very worrying for the VACCINES <==> VARIANTS run: We demonstrate how the Brazilian variant P.1 which becomes uncontrollable in Brazil in April 2021 has a level of organization of long metastructures of 17,711 bases covering the genome which is 3.6 more important than that of the 2 reference genomes SARS-CoV2

 and worldwide D614G. We suggest that this high level of overall structure of this variant contributes to the stability of this genome and, might explain its greater contagiousness.

To complete this article, an ADDENDUM by Nobelprizewinner Luc Montagnier vas added at the end of this paper.


Download data is not yet available.


(Castro-Chavez, 2020), F. Castro-Chavez, (June 2020), Anticovidian v.2: COVID-19: Hypothesis of the Lab Origin versus a Zoonotic Event Which Can Also be of a Lab Origin, GJSFR, August 2020,

(Dae Eun Jeong et al, 2021), Dae Eun Jeong et al, Assemblies-of-putative-SARS-CoV2-spike-encoding-mRNA-sequences-for-vaccines-BNT-162b2-and-mRNA-1273, GitHub, March 2021,

(Da Silva Filipe, 2020), da Silva Filipe, A., Shepherd, J.G., Williams, T. et al. Genomic epidemiology reveals multiple introductions of SARS-CoV-2 from mainland Europe into Scotland. Nat Microbiol 6, 112–122 (2021). DOI:

(Demongeot§Henrion-Caude, 2020), Demongeot J. § Henrion-Caude A., Footprints of a Singular 22-Nucleotide RNA Ring at the Origin of Life, Biology 2020, 9(5), 88; DOI:

(Govindarajan, 2020a) Ethirajan Govindarajan et al, “Pairwise Spatial Correlation of SARS-Corona Viruses”, London Journal of Research in Computer Science and Technology, London Journals Press, Volume 20, Issue 1, Compilation 1.0, 2020, pp 11-78

(Govindarajan, 2020b) Ethirajan Govindarajan et al, “Pairwise Spectral Correlation of SARS-Corona Viruses”, London Journal of Research in Computer Science and Technology, London Journals Press, Volume 20, Issue 2, Compilation 1.0, 2020, pp 81-148

( Gröhs Ferrareze P. A. , et al, 2021), Patrícia Aline Gröhs Ferrareze, et al, E484K as an innovative phylogenetic event for viral evolution: Genomic analysis of the E484K spike mutation in SARS-CoV-2 lineages from Brazil bioRxiv 2021.01.27.426895; doi: DOI:

(Jackson et al, 2020), Jackson, N.A.C., Kester, K.E., Casimiro, D. et al. The promise of mRNA vaccines: a biotech and industrial perspective. npj Vaccines 5, 11 (2020). DOI:

(Kudla et al, 2016), Kudla, G., Lipinski, L., Caffin, F., Helwak, A. & Zylicz, M. High guanine and cytosine content increases mRNA levels in mammalian cells. Plos Biol. 4, e180 (2016). High guanine and cytosine content increases mRNA levels in mammalian cells DOI:

(Kustin T. et al, 2021), Evidence for increased breakthrough rates of SARS-CoV-2 variants of concern in BNT162b2 mRNA vaccinated individuals, Talia Kustin et al, medRxiv Preprints, Doi: DOI:

(Megawaty Tan et al, 2021), Megawaty Tan et al. "May vaccines select SARS-CoV-2 variants more readily escaping immunity – an analysis of public data". Archives of Microbiology & Immunology, in press.

(Mengwen et al, 2006), Mengwen Jia, Liaofu Luo, The relation between mRNA folding and protein structure, Biochemical and iophysical Research Communications, Volume 343, Issue 1,2006,Pages 177-182,ISSN 0006-291X, ( DOI:

(Montagnier L. § Kingsley Sanders F., 1963), Luc Montagnier and F. Kingsley Sanders « Replicative Form of Encephalomyocarditis virus RNA », Nature 199. 664-667. 1963 DOI:

(Naveca Felipe et al, 2021), Phylogenetic relationship of SARS-CoV-2 sequences from Amazonas with emerging Brazilian variants harboring mutations E484K and N501Y in the Spike protein,, 2021,

(Perez, 1988), Perez J.C., De nouvelles voies vers l'Intelligence Artificielle, 1988, Ed. MASSON ELSEVIER, EAN 978-2225818158 ISBN 2225818150,

(Perez, 1991), J.C. Perez (1991), "Chaos DNA and Neuro-computers: A Golden Link", in Speculations in Science and Technology vol. 14 no. 4, ISSN 0155-7785, January 1991 Speculations in Science and Cell Motility 14(4):155-7785

(Perez, 1997), Perez J.C, L'ADN décrypté, Ed. Marco Pietteur, ISBN: 2-87211-017-8 EAN: 9782872110179,

(Perez, 2009), Perez J.C, Codex biogenesis – Les 13 codes de l'ADN (French Edition) [Jean -Claude ... 2009); Language: French; ISBN -10: 2874340448; ISBN -13: 978-2874340444

(Perez, 2015), Deciphering Hidden DNA Meta-Codes -The Great Unification & Master Code of Biology, journal of Glycémies abd Lipidomics,, ISSN: 2153-0637, DOI: 10.4172/2153-0637.1000131 DOI:

(Perez, 2017), J.C Perez, 2017, Sapiens Mitochondrial DNA Genome Circular Long Range Numerical Meta Structures are Highly Correlated with Cancers and Genetic Diseases mtDNA Mutations January 2017 Journal of Cancer Science and Therapy 09(06) DOI: 10.4172/1948-5956.1000469 DOI:

(Perez, 2017b), Jean Claude Perez, "The Master Code of Biology: Self-assembly of two identical Peptide’s beta A4 1-43 Amyloid in Alzheimer’s Diseases," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 1(4), pages 1191-1195, September. Handle: RePEc:abf: journl: v:1: y:2017: i:4: p:1191-1195 DOI: 10.26717/BJSTR.2017.01.000394 DOI:

(Perez, 2017c), Perez JC (2017) The “Master Code of DNA”: Towards the Discovery of the SNPs Function (Single-Nucleotide Polymorphism). J Clin Epigenet. 3:26. doi: 10.21767/2472-1158.100060, DOI:

(Perez, 2018), Perez, J.C. Six Fractal Codes of Biological Life: perspectives in Exobiology, Cancers Basic Research and Artificial Intelligence Biomimetism Decisions Making. Preprints 2018, 2018090139 (doi: 10.20944/preprints201809. 0139.v1). Perez, J.C. Six Fractal Codes of Biological Life:perspectives in Exobiology, Cancers Basic Research and Artificial Intelligence Biomimetism Decisions Making. Preprints 2018, 2018090139 (doi: 10.20944/preprints201809. 0139.v1).

(Perez, 2019), Perez, J. Epigenetics Theoretical Limits of Synthetic Genomes: The Cases of Artificials Caulobacter (C. eth-2.0), Mycoplasma Mycoides (JCVI-Syn 1.0, JCVI-Syn 3.0 and JCVI_3A), E-coli and YEAST chr XII. Preprints 2019, 2019070120 (doi: 10.20944/preprints201907. 0120.v1). DOI:

Perez J.C, (2020). “WUHAN COVID-19 SYNTHETIC ORIGINS AND EVOLUTION.” International Journal of Research - Granthaalayah, 8(2), 285-324. DOI:

(Perez§Montagnier, 2020a), Perez, j.c, & Montagnier, L. (2020, April 25). COVID-19, SARS and Bats Coronaviruses Genomes unexpected Exogeneous RNA Sequences. DOI:

(Perez%Montagnier, 2020b), Jean claude Perez, & Luc Montagnier. (2020). COVID-19, SARS AND BATS CORONAVIRUSES GENOMES PECULIAR HOMOLOGOUS RNA SEQUENCES. International Journal of Research -GRANTHAALAYAH ISSN (print): 2394-3629 July 2020, Vol 8(07), 217 – 263 DOI: Https://, Vol 8(07), 217 – 263(Vol 8(07), 217 – 263), Vol 8(07), 217–Vol 8(07), 263.

(Rapoport § Perez, 2018), Rapoport D. § Perez J.C, Golden ratio and Klein bottle Logophysics: The Keys of the Codes of Life and Cognition. Quantum Biosystems. 9(2) 8-76.; Vol. 9 – n.2 – 2018

(Simmonds P, 2020), P. Simmonds, Rampant C->U hypermutation in the genomes of SARS-CoV-2 and other coronaviruses – causes and consequences for their short and long evolutionary trajectories. bioRxiv 2020.05.01.072330; doi: DOI:

(Varela § Maturana, 1980), Maturana H. & Varela F.J. (1980). Autopoiesis and cognition: the realization of the living. Reidel, Boston. DOI:

(Wenjuan Zhang et al, 2021), Emergence of a novel SARS-CoV-2 strain in Southern California, USA, medRxiv 2021.01.18.21249786; doi: DOI:




How to Cite