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Jean-Yves BOULAY

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About Jean-Yves BOULAY

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    Genetic code. Primes numbers. Number theory. Symmetry.
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    social worker

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  1. Initial arithmetic arrangements in 3/2 ratios inside hierarchical classification of whole numbers. From the new paper:https://www.researchgate.net/publication/341787835_New_Whole_Numbers_Classification
  2. Inclusive diagram of the new whole numbers classification.
  3. I obviously encourage anyone to explore further beyond. My article is only the beginning in this way and I work myself (and I have already discovered) on other phenomena including especially with the concept of Sophie Germain numbers.
  4. In my introductions and conclusions I insist that these phenomena are related to the decimal system and therefore to small closed matrices of 5x or 10x entities. This is the basis of the article which does not study long sequences but their start (in multiples of 10 or 5).
  5. I have worked on other matrices but there are more significant results with matrices to 10 by 10. But see above there is also with 5 by 5. "so-called, "thus-called" these grammatical problems are secondary.
  6. The association of the numbers 0 and 1 with the primes, then the distinction of 4 classes of numbers, allows many arithmetic singularities. 3/2 ratio, this term appears hundreds of times in this article! It is always involved between and in sets of entities of 5x sizes (so 3x + 2x) including, in most situations, various matrices of ten by ten entities. These arithmetic phenomena demonstrate the equality of importance of the different types of entities studied as the ultimates or non-ultimates, the primordials or non-primordials, the digit numbers or non-digit numbers among the fundamentals, the numbers of extreme classes and those of median classes, fertile or sterile numbers, etc. . Thus is revealed in this article quantity of dualities distinguishing whole numbers in always pairs of subsets opposing in various ratios of exact value 3/2 or, more incidentally, of exact value 1/1. Also, many of the phenomena presented, in addition to involving this arithmetic ratio of 3/2, revolve around the remarkable identity (a + b)2 = a2 + 2ab + b2 where a and b have the values 3 and 2. This generates many entanglement in the arithmetic arrangements operating between the different entities considered and therefore strengthens their credibility by the dimensional amplification of these arithmetic phenomena.
  7. Please, sorry to repeat again and again: read the entire article carefully.
  8. When I said: 0, 1 and all primes not admit any non-trivial divisor (whole number) being less than them. Why are You so afraid of this? So also answer this question: is it right or not? If this is true then the whole numbers divides well into two groups: ultimate and non-ultimate numbers. Yes of course: number 0 !
  9. This has analogies with the organization of matter especially within quarks which are with electric charges of thirds of electrons
  10. A very strong entanglement links all these sets of numbers which oppose in multiple ways in ratios of value 3/2 (or reversibly of ratios 2/3). For example, the first 6 ultimates (0-1-2-3-5-7) are simultaneously opposed to the 4 non-ultimates (4-6-8-9) among the first 10 natural numbers, to the 4 raiseds of the first 10 non-ultimates (4-8-9-16) and to the 4 ultimates beyond the first 10 whole numbers (11-13-17-19). Yes as M. Jackson said: this is it! It's a bit complicated, it's an enumeration of several criteria contrary to my definition in one way.
  11. Sensei and taeto, thank you for this debate. I'm not interested in semiprimes. For example number 30, which I qualify in non-ultimate, but also in pure composite, is with 3 divisors (2, 3 and 5). Number 48, 10th mixed composite, with 5 divisors whose 4 identical (2,2,2,2 and 3) and called as mixed because for example this is (2×2×2) ×(2×3). Also, take a good look at my article in detail, I am only interested at the beginning of the lists of numbers and with numbers of entities of multiples of 5 of which mainly 10, 25 and 100. Where a ratio 3/2 can appear (and it appears really a lot in my dozens of matrices presented). In OEIS site, the ultimate numbers sequence (A158611) is called “0, 1 and the primes”. This is not a precise name! And if you look on the site, there is no clear definition applying simultaneously to primes, to 0 and to 1. My ultimates concept is without any ambiguity (and includes 0 and 1): An ultimate number not admits any non-trivial divisor (whole number) being less than it. Let n be a whole number (belonging to ℕ*), this one is ultimate if no divisor (whole number) lower than its value and other than 1 divides it.
  12. Taeto, you should read the article to understand: 48 and 81 are not examples, they are part of the first 10 numbers of each class. For the classes of numbers, I distinguish the raised numbers from the other composites. By this process, the different types of numbers oppose in ratio 3/2 for the 10 first. The 10 primordial are the 10 first numbers of the 4 classes which I propose. This is not speculation but a mathematical definition! otherwise prove the opposite: 0, 1 and all primes (ultimate numbers) not admit any non-trivial divisor (whole number) being less than them. Other numbers (non-ultimate numbers) admit at least one non-trivial divisor (whole number) being less than them. Please replace this post in mathematics. Below are listed, to illustration of definition, some of the first ultimate or non-ultimate numbers defined above, especially particular numbers zero (0) and one (1). - 0 is ultimate: although it admits an infinite number of divisors superior to it, since it is the first whole number, the number 0 does not admit any divisor being inferior to it. - 1 is ultimate: since the division by 0 has no defined result, the number 1 does not admit any divisor (whole number) being less than it. - 2 is ultimate: since the division by 0 has no defined result, the number 2 does not admit any divisor* being less than it. - 4 is non-ultimate: the number 4 admits the number 2 (number being less than it) as divisor *. - 6 is non-ultimate: the number 6 admits numbers 2 and 3 (numbers being less than it) as divisors *. - 7 is ultimate: since the division by 0 has no defined result, the number 7 does not admit any divisor* being less than it. The non-trivial divisors 2, 3, 4, 5 and 6 cannot divide it into whole numbers. - 12 is non-ultimate: the number 6 admits numbers 2, 3, 4 and 6 (numbers being less than it) as divisors*. Thus, by these previous definitions, the set of whole numbers is organized into these two entities: - the set of ultimate numbers, which is the fusion of the prime numbers sequence with the numbers 0 and 1. - the set of non-ultimate numbers identifying to the non-prime numbers sequence, deduced from the numbers 0 and 1. * non-trivial divisor.
  13. Certainly, each particle of the Universe contains all the laws governing it as the image of the alive cell containing in its core all genetic information to be it living respective.

    This is what I seek to discover during my different works.

    1. Show previous comments  1 more
    2. koti


      A status update is not the place to discuss this, you should set up a thread or discuss in a relevant existing thread. The answer to you question on "how does a particle know" is: The laws of physics. A cell on the other hand contains genetic information because biology and evolution. If you're trying to unify biology and physics you might want to reconsider otherwise we might conclude you have loose screws or missing some even. 

    3. Jean-Yves BOULAY

      Jean-Yves BOULAY

      Matter called living is made up of physical particles, so there is a relationship.

    4. koti


      One could find some kind of a miniscule relationship between everything in the Universe.

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