This paper attempts to express imaginary number with chemical nucleotide bases (A T, G, C and U) as regards to Quantum Perspective Model. At first, the exact Euler’s formula was written just like as in here “exi = cos(x) i·sin(x)”. Secondly, twin pi is substituted for x(x = 2Π). Thirdly, the result of this process equals to “e2iπ = cos(2Π) i·sin(2Π)”. Fourthly, sort up this formula just like as in here: “e2iπ = 1 i0” = 1. Fifthly, multiply both sides of the equation by minus one’-e2iπ = -1. Sixthly, this expression equals to “i2”. These numbers can be expressed as genetic codes [Adenine (A), Thymine (T), Guanine (G), Cytosine (C) and Uracil (U)]. Seventhly, after converting process of this formula can be expressed as “AATGGGCCCUUGAAGAACUUUAAGTTTGGG”. Eighthly, after searching these sequences in the NCBI (The National Center for Biotechnology Information) database, the NCBI search result was similar to bony fishes (“Danio Rerio” and “Danio Aesculapi”) and flat worms. Ninthly, the common feature of the NCBI search result for some irrational numbers is that Euler numbers are the same as these results, as is the case with Pi in particular. Tenthly, let’s not forget that some irrational numbers in the gene database are similar to these creatures, and that there is a genetic link between Fibonacci sequences in Mathematics and Euler numbers. Finally, this article proved not only the relationship between imaginary number and nucleotide bases, but also the common relationship between NCBI database search “Danio Rerio” and “Danio Aesculapi” of some irrational numbers. In sum, could this similarity lead to a new paradigm for the imaginary number as a new dimension, i.e. if we take time as the fourth dimension, could it be the fifth dimension? As a result, the expression of imaginary number with genetic codes reaches striking meaningful results that will shed light on the Quantum Perspective Model, which is a new research method among Quantum Physics, Biology and Electricity and Mathematics.
Cite this paper
Olmez, T. (2023). What Is the Meaning of Imaginery Number with Nucleotide Bases as Regards to Quantum Perspective Model?. Open Access Library Journal, 10, e9792. doi: http://dx.doi.org/10.4236/oalib.1109792.
Köklü, K. (2019) Is Relativity Theory Also Valid in Biogenetics and Mathematics? NeuroQuantology, 17, 53-58. https://doi.org/10.14704/nq.2019.17.3.1999
Ölmez, T. (2022) Is There Any Meaning of Planck’s Constant Numbers as Regards to Quantum Superposition via the Chemical Atomic Masses of Nucleotide Bases? Open Access Library Journal, 9, e9482. https://doi.org/10.4236/oalib.1109482
Köklü, K. (2019) A Quantum Perspective Model to Genetic Codes through Various Sciences. Neuroquantology, 17, 15-18. https://doi.org/10.14704/nq.2019.17.3.1974
Ölmez, T. (2022) Is There Any Explanation for the Chemical Atomic Weights of Protons, Neutrons and Electrons through the Genetic Codes Attributed to Quantum Superposition? Open Access Library Journal, 9, e9650.
https://doi.org/10.4236/oalib.1109650
Ölmez, T. (2023) Can the Boltzmann and Bohr Magneton Constants Be Expressed as Nucleotide Bases via Quantum Superposition? Open Access Library Journal, 10, e9653. https://doi.org/10.4236/oalib.1109653
Wieser, E.M., Holden, N., Coplen, B.T., et al. (2013) Atomic Weights of the Elements 2011. Pure and Application Chemistry, 85, 1047-1078.
https://doi.org/10.1351/PAC-REP-13-03-02
Ölmez, T. (2021) According to Quantum Perspective Model, Are the Numbers of Pi Also Meaningful in Biochemistry? International Journal of Natural Sciences: Current and Future Research Trends, 11, 1-10.
Ölmez, T. (2020) Is There an Aesthetics in Golden Ratio as Regards to the Common Cis-Regulatory Elements versus to Atomic Numbers of Elements with Respect to Quantum Perspective Model? Neurology and Neuroscience Reports, 3, 1-4.
https://doi.org/10.15761/NNR.1000119
Ölmez, T. (2020) With Respect to Quantum Perspective Model, Can Euler Numbers Be Related to Biochemistry? Global Journal of Science Frontier Research, 20, 7-14.
https://doi.org/10.34257/GJSFRFVOL20IS9PG7
Ölmez, T. (2021) According to the Binary Number Base System, Are the Square Roots of Two Numbers also Significant in Biochemistry? Open Access Library Journal, 8, e7122. https://doi.org/10.4236/oalib.1107122
Ölmez, T. (2021) What Is the Meaning of the Square Root of the Number Three in Biochemistry? Open Access Library Journal, 8, e7123.
https://doi.org/10.4236/oalib.1107123
Ölmez, T. (2021) Can Irrational Numbers (Such as Square Root of the Number Five) Be Reached by Analysis of Genetic Sequences? Open Access Library Journal, 8, e7104. https://doi.org/10.4236/oalib.1107104
Ölmez, T. (2022) Are Irrational Numbers (Like the Square Root of the Number Seven) Applicable to Genetic Sequences? Open Access Library Journal, 9, e8513.
https://doi.org/10.4236/oalib.1108513
Ölmez, T. (2022) Can the Irrationality in Mathematics Be Explained by Genetic Codes Expressed in the Square Root of the Number Ten? In: Ferreira, M.A.M., Ed., Novel Research Aspects in Mathematical and Computer Science, Vol. 4, BP International Press, London, 17-25. https://doi.org/10.9734/bpi/nramcs/v4/2120B
Ölmez, T. (2021) Is There a Similarity between Fibonacci Sequence and Euler’s Number with Respect to Quantum Perspective Model? Global Journal of Science Frontier Research, 20, 35-39.
Ölmez, T. (2021) According to Quantum Perspective Model, Is Euler’s Identity Also Meaningful in Biochemistry? International Journal of Natural Sciences: Current and Future Research Trends, 9, 23-28.
https://ijnscfrtjournal.isrra.org/index.php/Natural_Sciences_Journal/article/view/1037/15
Ölmez, T. (2023) Can The Golden Ratio Numbers In Biochemistry And Mathematics Have A Common Explanation With Nucleotide Bases? Open Access Library Journal, 10, e9716. https://doi.org/10.4236/oalib.1109716
Ölmez, T. (2023) What Is the Relationship between the Faraday’s Constant Numbers and Silk Worms as Regards to Quantum Perspective Model? Open Access Library Journal, 10, e732.
Zhang, P., Wu, Y.-H., Sun, H.-R., Zhao, J.-Q., Cheng, Z.-M. and Kang, X.-H. (2021) MnO2/Carbon Nanocomposite Based on Silkworm Excrement for High-Performance Supercapacitors. International Journal of Minerals, Metallurgy and Materials, 28, 1735-1744. https://doi.org/10.1007/s12613-021-2272-8
da Fontoura Costa, L. (2021) Complex Numbers: Real Applications of an Imaginary Concept (CDT-56). Sao Carlos Institute of Physics, São Paulo, 1-10.
https://www.researchgate.net/publication/349947136
https://www.researchgate.net/publication/349947136_Complex_Numbers_Real_Applications_of_an_Imaginary_Concept_CDT-56
Haug, E.G. and Mani, P. (2019) Are Imaginary Numbers Rooted in an Asymmetric Number System? The Alternative Is a Symmetric Number System!
https://www.researchgate.net/publication/337029494
Vlajic, S. (2016) Presentation of Euler’s Formula Using the Imaginary Number. University of Belgrade, Beograd.
https://www.researchgate.net/publication/303839329
Lodish, H., Berk, A., Zipursky, S.L., Matsudaira, P., Baltimore, D. and Darnell. J. (2018) Molecular Cell Biology. 6th Edition, Translated by Geçkil, H., Özmen, M. and Yesilada, Ö., Palme Publishing, New York, 294-302.