System of Systems: Here, have a headache. Kenneth Udut's beginnings of a Theory of Everything. The Leaky Triangle. Please poke holes in it.

Leaky Triangle Update: 10-25-2014

Thank you, Jerome Feldman, author of From Molecule to Metaphor: A Neural Theory of Language for the SEA Cycle

Efimov state. A predicted state of rare balance in a trimer that isn't covered by current theories at this scale, other than Efimov. Shown to be real (see below)

A sierpinski triangle fractal. I was avoiding using the Sierpinski triangle as an example of "leaky triangle" because some say its just math tricks. But yes, it's found in nature. I had to add this because its the easiest way to explain some of the idea. Added 7/24/2014

I think the Universe might be perfectly predictable but our math is all messed up because we get screwed up inbetween dimensions. We still think in grids and get totally confused by the behavior of tetrahedrons, even though they are the simplest 3D form - and can blow up into a sphere very easily. Fix our math - stop expecting perfection and instead use successive approximations. Instead of building up we should start with the Universe, then keep cutting away until we end up with a "close enough" result to what we want. This dependence upon the idea of random, while useful,leads us sometimes into an unnecessarily spooky place - when it doesn't have to be. Can't build new technologies by being spooked by randomness. 7/24/2014 youtube

7/23/2014 - The leaky triangle - these maximized gaps in 3D space allow for smaller things to take place within. Imagine some plain old amino acids settling inside of one of these triangular gaps, perhaps in this case, some nice Zinc/Sulphur rock. Safe and secure in its tetrahedral home, the sunlight spreads its spectrum on the amino acids. The gaps are large enough for water to get inside through rainfall: a perfect chemical factory for life! Given enough time, its conceivable that whatever combinations are necessary to begin life - well, there's millions of years for the biological "computations" to take place, until something new forms; the first proteins perhaps... and whatever else took place since then. I'm not making a theory of life per se - I have no idea what happened - but I know this would be a perfect place for it to happen... safe from harm in a home that's JUST the right size and shape...

Carbon-12 - Isotope most crutial for life - has a 'breathing triangle' configuration 7/24/14

Explained better on Carbon Nucleus seen spinning in triangular state where they say 'This suggests that the Hoyle state is a “breathing mode” whereby the equilateral triangle expands. This expanded nucleus can itself be set spinning, resulting in a series of excited states similar to that of the ground-state band of carbon-12.'

I'm expecting to find tetrahedrons and leaky triangles - a self-fulfilling bias on my part. I don't even like triangles much. But when you see a pattern over and over again, it got hard to ignore the importance of the gaps I keep seeing...

Leaky Triangle. This is a gap called a tetrahedral void. But a void isn't nothing: It is a space of weakness in a structure where fractures can occur. In materials engineering, this is well known; hydrogen atoms are so small, they can fit in these little voids inside of the toughest of materials and create nearly invisible weaknesses. But weakness is not the only way to look at these leaks in presumed perfection: think of them as places that very interesting things can happen - and they do; things we at first ignore, focusing on the "big picture". But these gaps, whether physical or metaphorical are opportunities. Zoom in or zoom out or invert the places you find such things and you will be surprised at what you find there: More things, unexpected things and... even more gaps to explore the properties of.

A tetrahedron (a sphere reduced to its simplest form) can't fill space by itself: there is always a gap. A leak. *Something* has to happen in that space. But what? This image shows five of these simple pyramids sitting flat. You cant make them connect together without having to stretch something. But - what stretches? What happens when you stretch it? If you can't stretch it, what takes place in the deepest part of the gap? Something quite interesting, I should think.

We tend to think in lines and squares. It's a flaw in our biology; diagonals are typically interpreted as having other properties such as distance (optical illusions, perspective, etc). But notice how shining regular light through a triangle makes it really simple to measure lights orbital angular momentum. Just count the dots. Normally, it's very mathematical and difficult to get right. Knowing how light spirals is critical in developing light-based technologies. This triangle leaks. It leaks information about light.

Why do I pick triangles (and all of the names given to them?) I could pick a sphere or a cube I'm sure. But here's the thing: Triangles/tetrahedrons/etc have properties that many other shapes do not. For one thing, you can make up any "enclosed" space by using them. It is the simplest. Yet it is also useful. You can determine chirality (left and right) with it, depending on which way its facing, or what shadow its casting. If you want to cut something, you need a triangle; it has a sharp point - it makes a wedge. It fits in the smallest of spaces you can find and it's not all inaccurate and wonky like "points" or "fuzzy spheres" and such. If you want to describe something in more detail, go deeper into the spaces you know little about, and you'll have room for more triangles to fit inside of - more things to explore. We pretend there are 1 and 2 dimensions because they're easy for us to grasp. But the Universe is at least 3D plus Time (and/or Spacetime if you want to go with Einstein too). That pencil mark on the paper? It's 3D. The flat line on your computer screen? Its 3D. I'll get into the spacetime aspect later. Triangles, with 3 points, can represent 3D on a "2D" surface in a way our brains can understand. Of course, even those 3 "points" - are also triangles...

Want a cube? Stick two together. Want criss cross lines in 2D at 90 degree angles? flatten it out - but remember the "zero" point has an "up" dimension since it overlaps. Want a sphere? Spin it around in all directions while drawing. Or, if you like, blow up the volume in the middle like a balloon until you get a sphere. They're easy to work with.

Efimov trimer state or Halo state. It's a Scaling factor at the quantum level. Basically, a scaling factor of 4.9 can occur in a 3 body quantum size system. They form themselves in a proportionate size difference that goes all the way from quantum size to bacterium size. Each state is 22.7 times larger but it then becomes 22.7 squared times weaker. It's as if they are projections of themselves. Basically, in this configuration of 3, instead of the 3rd one getting its energy stolen and flinging itself off in disguist as the pair of cozy dimer of particles bond, they form a relationship of 3 where they need each other to survive. It's rare and hard to form but it can happen.


System of Systems: Here, have a headache. Kenneth Udut's beginnings of a Theory of Everything. July 11, 2014 5:27am Updated: July 15, 2014, 9:43pm