Listing of Jean-Yves Boulay's publications

Jean-Yves Boulay

 Listing of some pre-print papers about genetic code, number theory, quantum physics and connections between all these research fields:

Amino acid numbering, ultimate numbers and the 3/2 ratio

October 2022       DOI: 10.13140/RG.2.2.17690.93128

An unprecedented numbering of the twenty proteinogenic amino acids, itself deduced from a logical numbering of the sixty-four DNA triplets, reveals connections between the mechanism of the genetic code, of the field of Biology, and the number theory field, of which more precisely the notion of ultimate number, one of the four classes of Mathematics entities proposed to constitute the set of whole numbers. These connections are revealed in an physico-arithmetic organization of the genetic code in various ratios of 3/2 value as global configurations.

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Numbering of the twenty proteinogenic amino acids

September 2022 DOI: 10.13140/RG.2.2.13001.83046/1

By proposing a numbering of the twenty proteinogenic amino acids deduced from the physicochemical properties of the four coding DNA nucleobases, it is established that this amino acid number, equal to 5x entities, is not arbitrary. Indeed, we demonstrate that many attributes of these twenty amino acids, as a whole, are also 5x in number and that by isolating, since their numbering, the 3x peripheral amino acids from the 2x internal ones, these attributes are divided into ratios of 3/2 as exact value. This is verified both as the physicochemical properties of the 20 amino acids and as the coding configurations of the nucleobases, the source of this numbering.

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Stealthy orbitals hypothesis

November 2021  DOI: 10.13140/RG.2.2.19410.07365/1

The graphic charting of atomic orbitals into the form of chevrons suggests the existence of stealth orbitals occupying the quantum vacant space of the various electronic shells. It is proposed here, the hypothesis that these quantum gates allow transit of electrons from orbital to another, and that these gates can be accesses to quantum singularities without space-time. Singular arithmetic arrangements in the distribution of real and stealthy orbitals of certain genetic code components reinforces the hypothesis to existence of these quantum gates.

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The atomic orbitals quantum charts into chevron form

November 2021  DOI: 10.13140/RG.2.2.12643.48161

It is proposed here to represent the quantum distribution of atomic orbitals in an unprecedented table where the quantum shells and subshells are drawn in the form of chevrons whose vertices are occupied by orbitals with the magnetic quantum number m = 0. This new representation visually shows, much better than a classic linear chart, the relationship between the number of quantum shells and the number of orbitals. Also, this new visual model can be easily used in the individual quantum depiction of the atoms represented alone or into molecules and can find its place in illustration of some two-dimensional space-time quantum theories.

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Chevron Form Quantum Charts

November 2020  DOI: 10.13140/RG.2.2.35925.45283

It is proposed here to represent the quantum distribution of atomic orbitals in an unprecedented table where the quantum shells and subshells are drawn in the form of chevrons whose vertices are occupied by orbitals with the magnetic quantum number m = 0. This new representation visually shows, much better than a classic linear chart, the relationship between the number of quantum shells and the number of orbitals. Also, this new visual model can be easily used in the individual quantum depiction of the atoms represented alone or into molecules and can find its place in illustration of some two-dimensional space-time quantum theories. Finally, this graphic representation allows to introduce the hypothesis of the existence of stealth orbitals, quantum gates opening towards singularities.

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Genetic code, quantum physics and the 3/2 ratio

July 2020              DOI: 10.13140/RG.2.2.26505.67681/3

 The analysis of the quantum structure of the five chemical elements composing the coded twenty amino acids and the four coding nucleotides of DNA working in the organization of the genetic code reveals an opposition of their respective constituents in always an arithmetic ratio of value 3/2 according to the parity of the number of their quantum shells. Also, the quantum analysis of the amino acid Glycine, the smallest component of peptides that can be confused with saturated base, reveals the same arithmetic oppositions of 3/2 value of its components by the differentiation, operated according to their number of protons, of its five chemical groups. . In sidelines to this study, a new graphic representation of the chemical elements is introduced: chevron form quantum chart.

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New Whole Numbers Classification

June 2020            DOI: 10.13140/RG.2.2.26139.90402/2

According to new mathematical definitions, the set (ℕ) of whole numbers is subdivided into four subsets (classes of numbers), one of which is the fusion of the sequence of prime numbers and numbers zero and one. This subset, at the first level of complexity, is called the set of ultimate numbers. Three other subsets, of progressive level of complexity, are defined since the initial definition isolating the ultimate numbers and the non-ultimate numbers inside the set ℕ. The interactivity of these four classes of whole numbers generates singular arithmetic arrangements in their initial distribution, including exact 3/2 or 1/1 value ratios.

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The ultimate numbers and the 3/2 ratio

March 2020          DOI: 10.13140/RG.2.2.32843.34081/3

According to a new mathematical definition, whole numbers are divided into two sets, one of which is the merger of the sequence of prime numbers and numbers zero and one. Three other definitions, deduced from this first, subdivide the set of whole numbers into four classes of numbers with own and unique arithmetic properties. The geometric distribution of these different types of whole numbers, in various closed matrices, is organized into exact value ratios to 3/2 or 1/1.

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Pi and Golden Number: not random occurrences of the ten digits

September 2019 DOI: 10.13140/RG.2.2.20762.57287

This paper demonstrates that the order of first appearance of the ten digits of the decimal system in the two most fundamental mathematical constants such as the number Pi and the Golden Number is not random but part of a arithmetical logic. This arithmetical logic is identical to Pi to its inverse and to the Golden Number. The same arithmetical phenomenon also operates in many other constants whose square roots of numbers 2, 3 and 5, the first three prime numbers.

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 Jean-Yves Boulay

Researcher profile of Jean-Yves Boulay on Researchgate.net