THE BINODIC PERIODIC SYSTEM (THE KUTIRY CODE)
Julio gutierrez samanez
Hello, welcome to this notebook presenting THE BINODIC PERIODIC SYSTEM by Julio
Antonio Gutiérrez Samanez, a Peruvian chemical engineer and scientist. This
notebook, created by IA, Notebooklm, is a summary of the following video: https://www.youtube.com/watch?v=QvJ-f64J4Ak&t=6s
The English version is available at: https://www.meta-synthesis.com/webbook/35_pt/pt_database.php?PT_id=946
I kindly request that you share this information with universities and
scientific communities, and encourage discussion and critique.
Thank you.
THE KUTIRY CODE
(Audio translation of the video into English)
Let's think for a moment about the Periodic Table of the Elements. Surely everyone recognizes it; it's a true icon of science. It's always been presented to us as something perfect, immutable, almost sacred. But what if it weren't? What if it had been hiding a secret for, say, 150 years? One that reveals a mathematical symmetry so profound it could force us to completely redesign everything. Well, today we're going to explore this radical idea: the binodic periodic system.
Mendeleev's table, it must be said, is an absolute stroke of genius, but like any great creation, it deserves to be examined critically. Because what if that familiar structure, the one we've used for over a century, isn't the whole story? What if, deep down, it hides a small, but crucial, inconsistency?
Well, to understand this new proposal, we first have to travel back in time a bit. The idea of reorganizing the elements didn't emerge from nowhere. It's actually the latest chapter in humanity's long quest to find the perfect order of the universe. A journey that, in fact, began long before Mendeleev. Consider this: before the rectangular table we know, there were other fascinating visions, from a helix in 1862 to stepped designs in the 1920s and 50s that already hinted at an underlying mathematical order. Each of these was a step, a step closer.
The proposal we're going to see today builds upon all these attempts. But what it seeks is to take the definitive leap, a system based purely and exclusively on mathematical logic. Okay, but why bother fixing something that apparently works well? And this is where we get to the heart of the matter, to the hidden flaws of the current system. The motivation for such a radical change stems from a conflict, a very subtle but incredibly profound one. Let's think of it as a gap between the shape of the periodic table and the quantum laws that, in theory, should explain it perfectly. This is the key to everything. You see, there's a quantum rule, the Madelung rule, which is like the instruction manual that tells electrons how to arrange themselves in an atom. However, the current periodic table, well, it doesn't always follow that manual to the letter; it has exceptions, irregularities, that scientists simply have to memorize.
And here comes the fundamental premise: a law of nature, a true law, shouldn't need exceptions. So, how do we solve this inconsistency? Well, the answer this system proposes is surprisingly elegant and is based on a central idea: the binode and the principle of duality. This is the mathematical heart of the whole thing, the missing piece of the puzzle that, according to this theory, was needed for everything to fit together. Okay, so what exactly is a binode? Well, it's not simply a period in the table like the ones we already know. No, it's a pair of periods that are always symmetrical, always the same size. The key idea here is duality, doubling. In this system, everything comes in pairs, as if reflecting a fundamental symmetry of the quantum world. And the most mind-blowing thing is that this entire architecture, all this asymmetry, is derived from a single equation, a simple and astonishingly powerful equation. And it equals 4B squared.
According to this proposal. This is the law. This is the genetic code that governs the structure of all matter as we know it. Let's break it down; it's very simple. It's simply the total number of elements in each pair of periods. And B is just the number of that pair—the first, the second, the third. And so, what's truly incredible is that this formula predicts perfect quadratic growth, a totally predictable pattern that traces a parabola. And now comes the more visual part. We're going to use this formula to build the system from scratch, step by step. And we're going to see how, starting from a single point, an entire cosmic architecture emerges, a cone-shaped structure with a truly astonishing regularity. It all begins with the first binode.
We apply the formula, and it tells us that there must be four elements in total. These four form the first quantum block, the S block, which we see here in red as a pair of periods with two elements each. The beginning is simple, clean, and perfectly symmetrical. Okay, now we move on to the second binode. The formula predicts 16 elements, and this is precisely where the logic of the system is revealed. It's not just that a new quantum block appears, the P block in orange, but—and this is crucial—the previous block, the s block, is duplicated. That is, the system not only grows, but it grows by doubling; for the third binode, the formula gives us 36 elements, and the pattern repeats flawlessly. A new block emerges, the one in yellow, while the previous blocks P and S are duplicated again. The structure expands with absolute mathematical predictability. And we arrive at the fourth and final known binode, which, with 64 elements, completes the structure we see. The final block appears in F in green, and as we might have expected, all the previous blocks are duplicated once more.
The result is this perfectly ordered and symmetrical conical architecture. The most important thing about all this is the perfect symmetry achieved. We see how quantitative changes, which are simply adding elements according to the formula, generate qualitative leaps, that is, the appearance of new blocks with different properties. And what is most important, what solves the problem we started with, is that there is not a single exception here. Zero.
But here the idea becomes even more ambitious. What if this pattern isn't just for chemistry? The proposal suggests that this formula is not a simple coincidence, but a possible fundamental code of the universe. A pattern that repeats itself at all scales in nature. And, who knows, perhaps even in history. The connections are nothing short of astonishing. The shape is reminiscent of the quipus of ancient Peru. The spiral growth is the same we see in galaxies or on a snail's shell. The way the pattern repeats itself at different scales is, by definition, a fractal.
Perhaps this underlying order was what Mendeleev intuited. What allowed him to predict new elements; unknowingly, he was glimpsing a much deeper mathematics. And with all this, we arrive at the final, crucial question: Are we facing a mere mathematical curiosity or a potential scientific revolution? Because this isn't just about proposing a new, prettier table. It's about directly challenging a paradigm with 150 years of history and proposing a radically new way of understanding the fundamental order of matter.
As the historian of science Thomas Kuhn said, science advances through these revolutions when anomalies, like the exceptions in the periodic table, are revealed. They accumulate, opening a door for a new paradigm that can better explain them. So it could be that the answer to one of chemistry's greatest puzzles lies not in greater complexity, but in the astonishing simplicity of a cone and a single formula.
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ERIC SCERRI
THE KUTIRY CODE
(Audio translation of the video into English)
Let's think for a moment about the Periodic Table of the Elements. Surely everyone recognizes it; it's a true icon of science. It's always been presented to us as something perfect, immutable, almost sacred. But what if it weren't? What if it had been hiding a secret for, say, 150 years? One that reveals a mathematical symmetry so profound it could force us to completely redesign everything. Well, today we're going to explore this radical idea: the binodic periodic system.
Mendeleev's table, it must be said, is an absolute stroke of genius, but like any great creation, it deserves to be examined critically. Because what if that familiar structure, the one we've used for over a century, isn't the whole story? What if, deep down, it hides a small, but crucial, inconsistency?
Well, to understand this new proposal, we first have to travel back in time a bit. The idea of reorganizing the elements didn't emerge from nowhere. It's actually the latest chapter in humanity's long quest to find the perfect order of the universe. A journey that, in fact, began long before Mendeleev. Consider this: before the rectangular table we know, there were other fascinating visions, from a helix in 1862 to stepped designs in the 1920s and 50s that already hinted at an underlying mathematical order. Each of these was a step, a step closer.
The proposal we're going to see today builds upon all these attempts. But what it seeks is to take the definitive leap, a system based purely and exclusively on mathematical logic. Okay, but why bother fixing something that apparently works well? And this is where we get to the heart of the matter, to the hidden flaws of the current system. The motivation for such a radical change stems from a conflict, a very subtle but incredibly profound one. Let's think of it as a gap between the shape of the periodic table and the quantum laws that, in theory, should explain it perfectly. This is the key to everything. You see, there's a quantum rule, the Madelung rule, which is like the instruction manual that tells electrons how to arrange themselves in an atom. However, the current periodic table, well, it doesn't always follow that manual to the letter; it has exceptions, irregularities, that scientists simply have to memorize.
And here comes the fundamental premise: a law of nature, a true law, shouldn't need exceptions. So, how do we solve this inconsistency? Well, the answer this system proposes is surprisingly elegant and is based on a central idea: the binode and the principle of duality. This is the mathematical heart of the whole thing, the missing piece of the puzzle that, according to this theory, was needed for everything to fit together. Okay, so what exactly is a binode? Well, it's not simply a period in the table like the ones we already know. No, it's a pair of periods that are always symmetrical, always the same size. The key idea here is duality, doubling. In this system, everything comes in pairs, as if reflecting a fundamental symmetry of the quantum world. And the most mind-blowing thing is that this entire architecture, all this asymmetry, is derived from a single equation, a simple and astonishingly powerful equation. And it equals 4B squared.
According to this proposal. This is the law. This is the genetic code that governs the structure of all matter as we know it. Let's break it down; it's very simple. It's simply the total number of elements in each pair of periods. And B is just the number of that pair—the first, the second, the third. And so, what's truly incredible is that this formula predicts perfect quadratic growth, a totally predictable pattern that traces a parabola. And now comes the more visual part. We're going to use this formula to build the system from scratch, step by step. And we're going to see how, starting from a single point, an entire cosmic architecture emerges, a cone-shaped structure with a truly astonishing regularity. It all begins with the first binode.
We apply the formula, and it tells us that there must be four elements in total. These four form the first quantum block, the S block, which we see here in red as a pair of periods with two elements each. The beginning is simple, clean, and perfectly symmetrical. Okay, now we move on to the second binode. The formula predicts 16 elements, and this is precisely where the logic of the system is revealed. It's not just that a new quantum block appears, the P block in orange, but—and this is crucial—the previous block, the s block, is duplicated. That is, the system not only grows, but it grows by doubling; for the third binode, the formula gives us 36 elements, and the pattern repeats flawlessly. A new block emerges, the one in yellow, while the previous blocks P and S are duplicated again. The structure expands with absolute mathematical predictability. And we arrive at the fourth and final known binode, which, with 64 elements, completes the structure we see. The final block appears in F in green, and as we might have expected, all the previous blocks are duplicated once more.
The result is this perfectly ordered and symmetrical conical architecture. The most important thing about all this is the perfect symmetry achieved. We see how quantitative changes, which are simply adding elements according to the formula, generate qualitative leaps, that is, the appearance of new blocks with different properties. And what is most important, what solves the problem we started with, is that there is not a single exception here. Zero.
But here the idea becomes even more ambitious. What if this pattern isn't just for chemistry? The proposal suggests that this formula is not a simple coincidence, but a possible fundamental code of the universe. A pattern that repeats itself at all scales in nature. And, who knows, perhaps even in history. The connections are nothing short of astonishing. The shape is reminiscent of the quipus of ancient Peru. The spiral growth is the same we see in galaxies or on a snail's shell. The way the pattern repeats itself at different scales is, by definition, a fractal.
Perhaps this underlying order was what Mendeleev intuited. What allowed him to predict new elements; unknowingly, he was glimpsing a much deeper mathematics. And with all this, we arrive at the final, crucial question: Are we facing a mere mathematical curiosity or a potential scientific revolution? Because this isn't just about proposing a new, prettier table. It's about directly challenging a paradigm with 150 years of history and proposing a radically new way of understanding the fundamental order of matter.
As the historian of science Thomas Kuhn said, science advances through these revolutions when anomalies, like the exceptions in the periodic table, are revealed. They accumulate, opening a door for a new paradigm that can better explain them. So it could be that the answer to one of chemistry's greatest puzzles lies not in greater complexity, but in the astonishing simplicity of a cone and a single formula.