Transcription
I started this journey because I thought the solar system just looked eerily like an atom. The sun mirrors a proton. And I always asked why. And I realized science just had no good answer.
Then it came out a few years ago that the cosmic web resembles a neural network, like a giant brain. And my mind was blown. I was just like, how could this be a coincidence? So, I started looking into it and what I didn't expect to find was a repeating pattern. But it's not just the proton to the sun. Consider the microscopic tiny sea elegance worm compared to our Milky Way galaxy. You can also consider bacteria to the Pletes star cluster. Both of those are separated by 10 to the 24th m, yet they're structurally similar. I think this is actually the universe's hidden harmony, what I call cosmic octaves. Welcome back to our fractal universe. I'm Chris Lato. Thank you for being here.
In video one of this series, we found 10 to the 2.98 average spacing. That was less than 1% error across 42 orders of magnitude. That is a lot of orders of magnitude. And then in video two, companies proved that we live fractally already through the same cubic scaling. Today, I'll show you that the pattern is exact at specific intervals. Computer analysis found six verified matches at the 10 to the 24th interval, including one that's mathematically perfect. These are all from peer-reviewed sources. These are all fundamental structures at their specific scale. 10 to the 24.000 exactly.
But first, I want to respond to a brilliant comment from video one and two from Mr. Meme 00. Thank you. That unlocked the mechanism. This comment nailed it. So he says, "You're looking at the footsteps. I'm talking about the walk." And he was correct. Okay. I was showing the patterns without explaining the dynamics. I was excited about the footprints and forgot about the hike. So, let me fix that here. So, the footsteps is really the pattern, the 10 to the 3 pattern that I saw from observations. The walk that he's talking about is really the recursive function. So, why does it go to the number three? And that in fractal mathematics can be a attractor. So that means at all these different scales it attracts right the recursive function actually retracts the final answer to a solution of three. So a cube.
But what is the animal that's doing the walk? And this would be my response to mistime 00 is that I believe the animal is terminal node optimization at each scale. It sounds a lot more complicated than it is. Okay. I can explain it very simply. Your lungs branch recursively down to alveoli, right? Those are the terminal nodes where oxygen molecules actually exchange into your blood. And that's about 10 the minus 10 m. You can't subdivide those alvoli anymore without losing general function. This is nature's way of saying enough branching already, right? But we have enough branching and that's based on the size of the oxygen molecules. So at the terminal nodes at those avioli they can't get any smaller. You can't keep branching otherwise they cannot absorb the oxygen right that's a terminal node. So the the final node optimization and if we think about companies now companies stop at humans it's about 1 meter tall that is basically the terminal node for decision-m and although we have new machines right made us more capable we basically all started out in companies as humans right tribe started as humans so we can't subdivide humans more than one human right that would be pretty inefficient and probably illegal. So the the recursion function is that physical optimization to those terminal constraints.
So here is the universal principle. So structures coordinate roughly 10 the 3r terminal nodes in 3D space before requiring a new metaorganization. So what does that mean? It means you have about a thousand molecules per alveolus. Alvolus you have about a thousand employees per division in a large company. That's 10 cubed units per organizational level. So that is the walk or the animal making the footsteps, right? That's the mechanism terminal node optimization. So this means the universe recursively optimizes those terminal nodes using a cubic coordination right to the third a cube in three-dimensional space.
And so now here's where it gets really interesting. There is a biological law discovered in 1932 by Max Klyber. He found that metabolic rate, how much energy an organism uses, scales as mass to the 75. So not mass to the 1.0 like you'd expect, right? It's not a one for one. It's the mass scaled to the 75, the 34s. So that means a mouse doesn't use a thousand times more energy than a bacterium. Although it's at least a thousand times bigger, right? It uses about 130 times more. So to the 75. It's always mass to the 75. Jeffrey West at the Santa Fe Institute figured out why. It's because of fractal branching networks. So blood vessels, airways, neural networks, they branch out to every cell, right? Your cell is your terminal node. The branching creates that 75 exponent. It's terminal nodes being fed through optimized networks. And so what are we seeing here? We're seeing that same principle extended universally. That is the hypothesis of our fractal universe is that this same 75 scaling extends from atoms all the way to galaxies and maybe beyond.
So Mr. Meme's follow-up revealed something even deeper. 75 * 4 equals 3. Right? That's that number we found 10 the 3r. So remember Clber's 75 we just talked about that metabolic efficiency exponent that's metabolic and temporal efficiency. So this is energy flow through time. So that means it's structural and spatial scaling organization in space and time. They're not separate. So they're dual views of the same 4D space-time optimization. So the universe operates in 4D, right? We have three spatial dimensions plus time. 75 describes how efficiently energy in three dimensions flows through time. The fourth dimension. So that's where you get 3 over 4. Three describes how structures organize in space. And the bridge 75 * 4 dimensions equals 3 spatial exponent.
And what's what's really mind-blowing about this is that this 4D recursive framework, it actually makes a testable cosmological prediction. So cosmic clustering, it's called sigma 8. There's a sigma 8 tension should be about.75 and that's based on first principles metabolic scaling laws. The current standard model, thanks again to Mr. Meme for pointing this out, is 0.81. Okay, so it is not 75, but recent observations actually trend toward 75. So this is called the sigma 8 tension. So our fractal universe theory could possibly, again possibly, I'm not a cosmologist, could explain the sigma 8 tension. And that is huge. Okay, we'll explore the full derivation in episode 4. But this 4D framework doesn't just predict clustering. Okay, it generates the harmonic scale jumps that we call cosmic octaves.
So let's see them now. Okay, so this is the C on a piano. And then if we go up another octave, the same note. How does it work? I always thought this was amazing. How could you have the same note but at different scales, at different dimensions? They're mathematically related, but it's actually a different scale, a different frequency. On a logarithmic scale, octaves appear at regular intervals. Eight notes completes one cycle. In western music, you can actually divide it out into 12 semmitones. So now, let's apply this to physical organization. What if complexity cycles every 10 to the 24th m? You have eight hierarchal levels. I did not plan on finding this, but computer analysis found six exact matches. Here's the cosmic octave framework from peer-reviewed measurements.
Octave 1, quantum to planetary, 10 theus 16 meters, the proton, you have a dense core. Okay, this is what I call the octave start. Okay, we could probably start anywhere, but this seems like the best start to me. 10 theus 11 m, you have the atomic orbital. 10 theus 8 m, you have a robosone. That's the protein synthesis machine, right? Pretty much the base of all biological life. 10 theus 6 m bacterium you have a complete living cell 10 the minus 4 m you have c elegance 959 cells in a multi-ellular organism. Now we go to 10 to the 0 m that is the human 10 to the 3r meters a city 10 to the 7th m is the earth.
Now again we will repeat the pattern. So watch this. Octave 2 stellar to cosmic 10 to the 9th meters. That is the sun. It's a stellar core. It's an octave start matches the proton. 10^ the 12th m we have the solar system analogous to atomic orbitals. 10 the 15th m you have the or cloud. 10 the 18 m you have an open cluster like the pleades. 10 to the 21st mters you have the Milky Way. 10 to the 24th meters the Virgo supercluster and then 10 to the 27th meters you have the observable universe that's six almost perfect alignments at 10 to the 24th separations this was found to be statistically significant okay it's not like five sigma proves the theory 100% correct Right? But it does prove it as statistically significant, meaning it's could be possible. Again, it's a hypothesis.
Computer search for exact 10 the 24th ratios based on peer review objects. Six pairs emerged. So, match one. This is a perfect match. C elegance to the Milky Way. That's 5.00 * 10us4 meters. The size of C elegance. That's from the NCBI database. The Milky Way. 5.00 * 10 20th m from Bland Hawthorne 2016. The ratio is exactly 10 to the 24.00 deviation 0.0000. It's perfect. See elegance. It's 959 cells coordinating through a complete neural map. Milky Way has over a thousand star clusters organizing 200 billion stars. So C eleg's size compared to the Milky Way galaxy is mathematically perfect. 10 the 24.00 0 0 Exactly.
Match two ribosome to the or cloud. The ribosome 10 - 8 m the or cloud 1.5 * 10 to the 16th m the ratio is 10 to the 24.18. So the deviation is 0.176. This is statistically an excellent match. So, universal protein synthesis machine matches to the solar systems gravitational boundary. Again, is this just a coincidence?
Match number three, this one is pretty mind-blowing, is a human to the Virgo supercluster. So, a human is 1 meter. Virgo supercluster is 6.9* 10 to the 23rd m. So the ratio between a human and the Virgo supercluster is 10 to the 23.84. The deviation is 0.161. So again statistically excellent match complex multisellular organism human to supercluster coordinating thousands of galaxies.
Match number four is the proton to the sun. So a proton 8.4 * 10 -16 m the sun 6.9 * 10 8 m the ratio 10^ the 23.92 the deviation 0.082 082. So again, excellent statistically. You have dense cores. They both have fields. They both emit energy and it's the same separation. So the sun to the proton has the same architecture. Exact 10 the 24th octave separation. Again, just a miraculous coincidence.
Now we go to match five. Okay, this is a bacterium to an open star cluster. A bacterium 10 theus 6 m. An open cluster such as the pleades is 4.7 * 10 to the 17th m. The ratio 10 to the 23.67. So the deviation is 0.328. So in this case it's a very good match. It's a little bit less statistically significant but still statistically significant. So you have single-sellled organism matches to the gravitationally bound stellar group. So a group of thousands of stars and finally we get to match number six. It's the city to the observable universe. So a city this number comes from Jeffrey West scale 10^ the 3r meters. The observable universe 4.4 * 10 26 m. The ratio is 10 to the 23.64. So the deviation is 0.357. Again this is a very good statistical match. So you have social organization with proving scaling laws matches to the ultimate cosmic horizon. And the furthest we can see that's six computer verified matches, five excellent to perfect and one is exactly 10 the 24.0.
So when computer analysis finds this many precise matches, it is highly suggestive that we are looking at a geometric law. I don't think it's only coincidence. Although there is a 1.27% chance that is only coincidence. So why does 10 to the 24th keep appearing? What's so magical about that number? And I think it goes back to optimal coordination in 3D space. So roughly 10 cubed units per level. So at every 10 the 3 level we see basically a new note and it's based on that emergent physical properties based on that terminal node optimization. After eight of those levels we get a new repeating pattern just like an octave on your piano when we go from middle C to a higher C or just like the color wheel right? colors actually are in linear frequency, aren't they? But why does red actually go back around? It goes Roy G. BIV to blue, but then it's violet, right? Violet is a mix between blue and red. So why does the color wheel actually go back around to a wheel? I believe it could be the same principle that we see repeating octaves.
So this means we have repeating structures just like your fractal mandro set right we have repeating structures that come back again slightly different but it emerges from 4D space-time recursion it's based on the terminal node optimization right that fractal branching that 75 exponent that kber found I think it just continues to scale why would we be different at our scales we just assume that human biology is different. But maybe it just extends all the way we can see up into the universe just like it does down to bacteria. So just like you have eight notes in a musical scale, our fractal universe hypothesis hypothesizes that you have eight organizational levels in a cosmic octave. Again, this is based on observational patterns of peer-review functional sources. What's interesting also is the pattern suggests that you could have infinite scaling. And I didn't even put it on the scale ladder, but what is actually 10 the 3 below a proton is actually a quark. It's actually 10 the minus18 is your rough size of a quark. What about cosmic structures larger? Could we have structures larger than 10 the 27th? Could we have another level, another note at 10 to the 30th that we just can't see yet past the observable universe, the cosmic wall. This implies like the manderroad set that you have octaves continuing in both directions. It would be far beyond our observational limits. Essentially, as soon as our technology can see into those realms, we will see something the next scale. So our fractal universe, the hypothesis predicts that we will find new structures. And just like Mandelv's periodic table, the idea is we could actually predict what those will be based off of the recurring pattern.
So let's sit with what this means and and consider it a little bit more. Okay. So first you have six exact 10 the 24th matches that suggests there is a universal geometric law. So low chance that this is statistical coincidence. It is statistically significant. Right? Could it be wrong? There is a chance it's wrong. 1.27% chance that these could be random. But there's also over 98% chance that it is statistically not random. So second we have terminal node coordination that's in 3D naturally produces eight level cycles before metaorganization is required. So until it has to repeat the pattern. Third the four the fourdimensional framework predicts cosmic clustering should follow 75 efficiency scaling just like Klyber's law. And this is probably the strongest testable hypothesis of our fractal universe theory. So that is a testable prediction about galaxy clustering that we will explore in episode 4. And this could possibly just saying possibly provide a solution to the sigma 8 tension. So this means that fourth this makes falsifiable predictions. Okay, any theory worth its salt needs to be falsifiable and it should be predicting something that we haven't seen yet. So will we see subquark organization at 10 theus 21 m? Could we see or cloud coherent dynamics at 10 to the 16th m? What about the cosmic web superructures? Could we see anything at 10 to the 30th meters? Right past what we can see now 10 the 27. So future sigma 8 measurements could they be converging on 75 and that's what Mr. me was saying about his recursion. A point attractor means that they will converge onto that point. They will attract to the number three. Why? Based on that terminal node optimization we talked about.
And this leads us finally to the fifth prediction. And again, this is speculative. This is a hypothesis. But if galaxies coordinate stars, as in star clusters, through that same cubic scaling that cells use, then maybe the distinction between living and non-living needs revision. Maybe, again, a hypothesis, the systems of of life actually scale. Maybe they're larger than humans. Maybe we're not special in this universe. were just at a different scale. Either way, it's a testable hypothesis from geometric first principles. I didn't set out expecting to find like these repeating patterns at every level, but I found eight organizational levels from terminal node coordination in 3D space. It means you have discrete levels at each scale of dimension, right? That's why we see these emerging properties. It's why you can't really cut a human in half. You can't subdivide a human. So, your human is going to be your terminal node optimized, right? And a massive thanks to the audience members. Amazing comments. You've really pushed me to explain these mechanisms more rigorously and think about it more. I was not aware of the sigma 8 tension, right? I just I found these patterns and then looked for actual first principles and found it with Klyber's work as well as Jeffrey West. So this framework is definitely better because your feedback. Thank you so much and I'm so happy I actually started this series. So please continue your comments. I will use it for the next videos. What predictions do you think we should test?
So for next video, episode 4, we're going to look more dive deeper into the sigma 8 prediction, the full derivation showing how terminal nodes and four-dimensional optimization could predict sigma 8 clustering at 75. I mean, this potentially resolves a major cosmological tension. That is amazing. I did not expect that. But we're going to show how the math governing your cells predicts what billion-dollar telescopes are measuring in deep space and makes predictions about what they will find in the future. Thank you so much for watching. This channel really is better for it. Have a great rest of your day. Welcome to our fractal universe. Peace. And then if we go up another octave, the same note. How does it work?