The minimally structured universe

[Music] science is the most modern tool we have most modern tool Consciousness has to try to tell an accurate story about what reality is as that story has changed over time as humans have gone from thinking the world was a certain thing to thinking another thing and so on the thing that's changed is how we feel in our existence the thing we're paying attention to what we're focused on what We have access to and what we can do right we're currently in the level of understanding that allows us to access electrons pretty much that's it

and we can't even fully access electrons right we don't understand electrons to the point where we can tell you why it has any of the properties it has quanics doesn't tell you how to think about the world right general relativity doesn't give you a full picture it doesn't tell you anything about the quantum Mechanical stuff so what picture of the world are you supposed to be carrying what is the main mystery why are the data points the data points where do they come from or why are they there yeah the purpose or the meaning underlying

purpose for why things even exist yeah and why does this matter you know why does that all matter why does the answer matter the answer we don't have because it allows us to live in a p to live in A uh perspective or a yeah to live with perspective that is more with that answer we should be able to occupy a perspective that sees that knows those effects and therefore can do what all the things on purpose we can start building machines to on purpose do the things that nature can do this will change things

in a dramatic way you can use anything with mass to alter it into any other legal form of mass up to the same amount of mass that you started With different Arrangement right there's only certain legal forms the ones that obey the transforms of the periodic table of elements all the atoms that make up possible structures if you found the true laws of nature that allowed you to frame the real structure of reality so that you had an actual picture of why all the properties that are in reality the things it's impregnated with just its

Essence the things we char when we write down things like the speed of Light or the planks constant or the gravitational constant these things that were really hard to discover because you don't see them when you first look out cuz you're looking out through your very blind perspective the one that doesn't tell you anything about even electrons like e e mc² how does that apply to my life eal M c^2 means that energy which you already know why matters to you energy I need for my battery energy I need for all the stuff that I

now use so I I care about energy it's equal to Mass to think to think you need food yes even food is energy exactly your whole existence revolves around gaining energy and if you understood what energy was you could gain it easier MH right right now energy is one of the big mysteries of reality it's made up of mass times by the speed of light squared the thing you care about energy can be got from Mass and c^ 2 well C is 2.99 7 92458 * 10 to 8 m/ second it's a big number 10

to the 8 right it's a really big number Square it now it's a really big number so Mass gets converted by something that's huge into energy so mass is Extreme compactified energy now think about what this really means if you understood the framework of reality if you had a picture in your in your Consciousness that projected for your sight what reality was based On the true story the one that automatically included the effects that we actually measure in reality right the stories we have right now maybe the best we can do but nobody's come up

with one whose parameters who assumptions lead Le us to any of the actual properties we're trying to explain right we've got measured properties that need to be explained these are the magical effects the characteristics reality has been found to Have and if we ever get a picture to make sense of them it means we are gaining the ability to start making machines that use those effects on purpose the true Alchemy effort literally so like the building blocks of reality yes understanding the building blocks of reality will allow you to understand the transforms between those building

blocks we can build reality yeah on purpose all you want in with the correct Understanding of reality the dirt underneath your feet becomes as valuable as anything you've ever imagined we've been making up stories you know since I guess before we were been humans right cats make up fantastic stories about the world that allow them to accurately hunt all right and we've been making up stories at least that accurately allow us to effectively get through the world for a long time but it's only been it recently in history Since the birth of science that we've

been doing this in a very very specific way on purpose meaning we decided we there was the first human came along and decided to take the question of reality seriously enough to measure think at this up until that point at some point whether we got the right guy or not accent amander I think or his teacher okay at least in history that's was recorded but still around that time Apparently before then no human who saw the world a certain way had thought to come up with a way to objectively find out if what their eyes

told them was true think of that not until recently did the first human ever do that that was the birth of science to start using measures to make sense of what you're seeing okay now measurements are still the most reliable things we have for truth right these are the things you can actually objectively get From an environment yeah not just correlation and speculation yeah and the the goal has been to make sense of the stuff we're seeing so since we started employing the methodology of X and amander and all the path since then all the

great scientists since then who came up with more ways to look into the world more specifically to start measuring things that we were claiming about the world and actually seeing what the real property was we've landed in a position Now where we have this list of constants of nature in fact here they are let's go to kodada here's a website here's one of the constants of nature electromagnetic moment to nuclear Magneton ratio that's its name I'm going to show you the list this is the best we got people it's funny to me because these are

the most important parameters and this is the most official site for these most important parameters in the world and Look it's very very very just computer script this is it names values uncertainty on the value so you know how well we know this number okay which is a fantastic thing it's not just a claim it tells you how well we know the claim like how predictable it is how accurate it is you know how and we've been trying to get more and more accurate this is as of this most recent update how the most accurate

constants of nature measurements and the units that they're In okay there this long long long long list of measured properties built into the world the constants of nature okay nobody knows why these are the actual facts of reality and nobody knows why okay nobody's allowed to directly look in our modern society because you can't get paid to do this which is a formally a way to make us so we're not allowed right why but I want to make it really clear why what happens when someone Figures out these what happens when someone knows why the

world is broken into a way that has these properties very specifically it takes away the power of those that power structure that we are hierarchy Shackled by right now completely dissolves dissolves it's not a revolution in war it's a revolution in Tech technological Insight where you gain the ability in situe in place as long as you have access to mass or say nitrogen Air then you let some nitrogen air in your machine you machine twist it into what you exactly wanted right you get the output you wanted you didn't need to rely on a system

of Transportation on a system of permission on a system of exchange on a system of protection you didn't need any of that for your thing this level of understand you should transcend all of those limitations because you can't take away their access to mass does it essentially turn God Maybe in comparison to the shackles we're under now when you have access to any resource for free when you were a kid at 12 when I was a kid at 12 you know what I would have done I'd have started making my own radios out of the

best materials not the cheapest materials I just start theorizing the best possible way to improve on some effect that I was trying to get you know I was started making my own computers I would have I would have not been limited By the thing oh I can't afford that my curiosity was rich enough to take me to try everything by then if I if it money wasn't the problem right I've been trying to find a story that you could put together that the data points put together that you could then okay that's why I get

all the data points yeah does that make sense I think yes what I remember reverse engineering is what we call it right basically starting if I were God how would I go about creating This universe yeah essentially yeah I want a I want a complete deterministic containment of the actual essence of reality right now I have a list of numbers that means nothing you could memorize all the numbers and hold them in your head and still you wouldn't have a picture that contained those properties in its structure in any way You just memorize in a

list I'm not just here to report the effort I actually have fantastic news of where we found where we got we actually have found a story that goes all the way from the beginning out and let me see if I can tell it if we imagine starting without a universe okay there's let's say exactly what we mean there's an infinite void there's no stuff in it there's random waves going everywhere there's nothing that repeats there's nothing that Persists if you and I were Gods looking at this infinite void but somehow not in it because then

we would have stuff in that void right if that were a thing we could say coherently and we were looking at it you could point to anything in there to try to tell me look at the character here and then if I looked I would not find it okay so anything that does happen there never happens again that's what I mean by infinite void of nothingness okay nothing is repeatable Nothing nothing is measurable nothing can be made sense of MH by definition chaos it's chaos and endless okay I want to ask what does it take

to go from that nothingness to something to have something that persists anything the minimal possible thing what's the smallest step from this nothing chaos infiniteness to a Universe of structured order it turns out mathematicians have already found the answer to this okay I was you know trained classically through physics and we were not trained anything at least not to my training anything about knot Theory okay but it turns out that there are a whole class of knots there the simplest one all the way to more more infinite complexity make combining more and more features of

the knots right but the simplest possible knot it's called The hyperbolic figure knot okay and it's the simplest possible hyperbolic knot there's one simpler one that's only three instead of four it's called The troil Knot but it's not hyperbolic what's cool about hyperbolic is all hyperbolic knots admit rigid structures if you formed a hyperbolic knot then the complement of that forming of that not being formed the the wave motion of everything else in reaction to the formation of the knot emits a rigid Structure a a grid a parameter a grid that repeats the whole thing

over and over and over okay each knot gives you different rigid structure but each knot emits a rigid structure if it's hyperbolic okay there's the simplest possible manifold so yeah what does hyperbolic mean what you just said is that the definition of hyper great question what does hyperbolic mean I'm going try to answer that like five ways okay um first of all the classic Hyperbolic structure in mathematics was Co is shown like this with this conic Center to it a cone on Cone right this is a back there yeah like a Taurus yeah well it's

a cone that goes through the center and there a inverse cone out there and we mean it keeps going we just looking at a portion of it okay but why is this called hyperbolic what does it have to do with hyperbolic at all well it's the exact same cone that we talk About when we're talk about the light cone in four-dimensional SpaceTime any point the speed of light restricts where you have access to it basically divides the world in half half of the world is now accessible to you and half of it is inaccessible to

you forever because of the speed of light okay but it does this exact division it makes this half inaccessible and this half accessible okay all right hyperbolic also means that we've Got circles right if I slice this cone this way but exactly this way perpendicular to to the plane of it right then it'll be a circle my slice cuts a circle MH okay if I do it higher it's just a bigger Circle it keeps going bigger biger all circles are captured by this cone all right and we an inversion and then all circles captured by

the cone but also if you slice this way I'm still perpendicular the board but I tilted it Okay so not flat this way anymore and now we got a ellipse right we we have a a Cuts like that and we form an ellipse we have all ellipses until we end up with a hyperbola a parabola so we get parabas we get hyperbolas we get circles we get cones all built from the same structure they're just different parts of the same structure that are all balanced together you can't remove any of those from the system okay

all right that's part of what we mean and we mean Hyperbolic another thing we mean is algebraically the same properties here this is a graph of these same set of properties if we do x^ 2 + y^ 2 + z^2 = 1 let's do it on wolf from alpha okay X2 + Y 2 + z^ 2 equals 1 we get the unit sphere okay this is the equation for the unit sphere know it has three parameters X Y and Z is three dimensional MH okay Now what we're doing when we're talking about hyperbolic space is

we're talking about this this is part of hyperbolic space this is spherical it's threedimensional threedimensional but we also talking about x^2 + y^2 minus z^2 = one let's try that I'm just going to change that plus to a minus oh the one sheeted hyperboloid that's around this one like That okay part of the same structure I didn't draw it until now but there it is and now oh let's add that one to our list we also want to do X2 + y^ 2- z^2 again = Z these are all hyperbolic surfaces here the cone that's

the one I started with okay and then we'll add the last one minus one and we get the two sheeted hyperboloid that One okay so this is X2 + y^ 2 minus z^ 2 equal -1 these four different sheets different surfaces different relationships that are or boundaries are all what we mean when we say we have a hyperbolic structure okay okay these are the unit surfaces of hyperbolic space but every hyperbolic or yes any hyperbolic figure is going to have yes all of that structure in it all that structure okay yep yep okay well when

we talk About a structured surface or a manifold the the simplest possible manifold has a symbol called GG this is the Gein constant and if you multiply it by two you get the hyperbolic figure8 Knot's volume a volume complement of the hyperbolic figure8 knot okay it's a certain number it's exactly equal to twice the geskin constant so this is the simplest three manifold there is and you Double cover it so you use the simplest thing that you can twist together to be its own roote to to make the boundary that closes itself the wall that

it pushes against right you just use it twice and you get the hyperbolic Figure 8 knot now I'm saying then that the simplest possible structure you can make that is structured that would will persist with its own structure is this one it's the root of the simplest Possible Universe if you try to imagine starting from a a random void to begin with and you want to intentionally put together waves the simplest construction of waves they put together to make a closed Perpetual system would be this set okay all right well this equation or this set

we can look into it turns out so this is equal to I let me Define I I'm sure you've been introduced to I but it's called the square Ro T of1 right and this we visualize Graphically on the XY plane um x i plane we can have one here and maybe put the unit circle in there if this is one on one for X then this is I in the other direction so it's just a different direction another dimension with a value or a magnitude of one right it's radius is the same as one but

it's a completely different direction from one so the square root of negative 1 negative 1 is a flip halfway around the circle right it's this point right here It takes you halfway around the circle negative 1 square root of negative 1 means half of that flip this power half here means literally just half halfway so you end up just right there okay now there's another number since we're here let's put this one's called the imaginary golden ratio beautiful name it deserves that name by the way a lot of names people try to give because they're

trying to mark it this one deserves its name it's directly related in many Beautiful ways to the imaginary unit I and to the golden ratio but we'll get into some of that later if you want to this one's equal to -1 to the 13 almost the same it's like a a brother to this one right it's just goes oneir of a flip if this is half of a flip then a third of a flip is something like right here so imaginary golden ratio is right there okay obviously it still has the same magnitude one its

radius is one his Position is different on the circle okay we're using that in and I know you probably don't know what a DI logorithm is that's okay I'm going to explain it minus a dial logorithm of di imaginary golden ratio a DI logarithm or or it's also got the name polylog poly logarithm of order two which means a two-dimensional logarithm you probably Ed log in the calculator once or twice in classes so Logarithm is that but if you have a system that's two-dimensional and has a logarithmic relation this way and a logarithmic relation that

way then you can use a DI logarithm to represent it okay so in here we have dialog rhythms the difference between two of them who have different arguments but their arguments are very related one's the imaginary golden ratio the other one's one over the imaginary golden ratio opposites of each other would be inverse Or they're multiplicative inverses yeah beautiful start we have a two-dimensional logic structure using the most beautiful possible operators in rotations why because these are the ones that give you the the grids right you can get a square Grid or a triangle grid

right you can you can tile a plane with squares or triangles and these are the two operators that do that beauti beautiful start okay well let's tease apart actually before I going into Details let me run through a fast version of where this is going to take us I'm saying we have a minimal route here for a structured Universe okay and that universe that's root here is going to has a a compliment it's you look like you tied a knot in in the wave the wave has to go around this closed path but as it's

going around it drags stuff with it and ends up doing all the Transformations okay it's creating a structure on the outside in response to That over and over the same structure that's why it's gold to us because it's making something that is persistent right same thing over and over a Perpetual structure okay well the outside to find what it looks like we just do this we get drop the I we want the real version instead of the imaginary version take the dial logarithm one over the imaginary golden ratio plus the DI logarithm of the imaginary

golden ratio all I did was Change the sign from minus to plus and drop the I so it becomes the real conjugate of the hyperbolic figure a not and what is it equal to it's equal to 4 pi^ 2 over 288 it's actually something that brings us directly to Kepler and the most beautiful limits in hyperbolic spaces and sphere packings but we're not going to do all those details right now I'm just pointing out that it has this projection this guy makes this so these Two come together now this is a double covered sphere it's

a sphere sphere that you make a unit sphere whose boundary is made twice so it's like a a double layer almost double layered sphere good yeah okay Divi and that double layered sphere is divided up by 288 ways exactly now this is exciting because 288 is exactly the number of Transformations that the tetrahedron that we're talking about structure that this is based on um Can Undergo and still look the same so this hyperbolic figurate not has this many possible ways of being Twisted into something else okay and 200 188 happens to be the exact number

of constants in nature Okay now what's the picture we form the hyperbolic figure8 knot we've twisted up some domain out of this infinite void we took some finite spot and twisted up some domain into the hyperbolic figure8 knot now we have this Repeated structure and it's complement the thing that it makes when we do that is this some sphere that's got a double shell in there but they're the same radius okay so this is a essentially um a container for the chaos yes yes good container for the chaos once it's once it's created the container

continues containing itself no matter what chaos is passing through it the container continues to contain itself in that structure all right so let me make this Smaller because there's one more layer inside here there's a double layer here right but inside there we have our little our figure8 knot that's making it right or it's not really inside there it's the the whole way the thing divides is the boundary of the hyperbolic figure right now but I want to represent it in in your mind as existing so it's let hold it in the middle of this

guy okay once we've created this oh that's a great idea this is kind of what we're Talking about here this shape okay this shape wraps around a waveform if you followed the boundary of this you can go all the way around around around around forever forever if you start it out inside you're trapped inside if you start it out outside you're trapped outside that's what I mean by this this whole double covered sphere is also internally divided by the boundary of the hyperbolic figurate knot but also since the hyperbolic figurate knot is Double covered there's

one more layer you can surround a sphere by exactly 12 spheres if you stack spheres around spher you can touch exactly 12 that are all touching the middle one right okay that's SEC geometry so yes so that this picture here we created this first three-dimensional sphere but it's double covered the middle one and out outside it there's 12 other spheres touching it that are undoing exactly opposite what we did inside so that the whole thing Ends then now we're done we've Twisted but untwisted the system right we're balanced the whole system and what are we

saying now I'm saying this is a simple outside this is still chaos and Noise Okay but here we have a structured system that continues to siphon all waves in the way that its structure takes them all all the way and and continues using its structure to process all waves you know in this way all right follow me so far yeah I think so let me So it so within this container this hyperbolic um container the hyperbolic figure8 knot it has created um let's say it's created Perpetual persistent direction or yeah partitioning structure exactly pathway Direction

the waves are breaking up into certain dynamics that always go over and over and over the same thing yeah yeah so it's almost like it's almost Like the rivered that guides the the water yeah of the direction of the water it's the structure of order there yeah yeah okay great and I'm we're done now the good news so the simplest possible model of a persistent structure I'm saying is just this okay in fact 12 spheres around a double covered sphere let's talk about the 12 spheres real quick I can do one sphere and divide it

by five factorial this is five dimensions factorized in All the possible ways they can be okay I'm starting with five Dimensions because in physics we have five Dimensions measurements of measurement yeah time space charge temperature and mass okay every other kind of thing you can make a measurement of literally this is a very strong thing to be aware of if you're not aware of it's very important to be aware of it every other kind of thing you can measure is just broken down into those five things it's a Combination it's just more com combinatorial complex

but made up of those five things only yeah there's only those kind of things we can measure that's a big thing to be aware of reality only shows itself in five faces right five things can be measured of reality different magnitudes of those five things but there's five things of essence that can be measured essential Elemental like Plato yeah like wasn't Plato thing Five the five five platonic solids solids yeah yeah and also five is important to the primes why it's the only double twin Prime the only double twin Prime so we're keeping five Dimensions

is important here because we have five yeah dimensions of measure now I don't need to add of measure if you were a physicist because you knew I meant that but that's what Dimensions are for physicists right the things we can measure and then we give numbers to the greater measures of those things or or measures and so on they are just measures of time measures of space or length measures of charge temperature and mass good all right so I'm taking our first sphere of our 12 spheres and just imagining what if it's divided by all

of the factored ways that five things can Factor all the ways five things can Factor okay our five Dimensions completely divide this thing and then let's take another one that does instead the derangements of five things this is all the ways you can start with five things and change the arrangement of them change the order of them with the Restriction that everybody has to move nobody gets to stay still during a swap okay with that restriction this goes to this okay still for five things it's a Rule for things but it's a rule that everything

deranges nobody gets to hold still when you're dancing all right and then now I want to four more kinds of spheres let say kind like musical chair yeah yeah another kind of four more kinds of spheres and I'm going to divide each of these spheres by let's say this one's 35 things I'm going to tell you a while later in a second actually the next one by 18 things the next one By 32 things and the next one by eight things okay these special numbers so that's six spheres out of 12 that's good yes so

let's fix that now I'm going to say we want one of those two of those three of those and four of those now how many do we have um 3 6 10 12 good 10 we have 12 total spheres that's our outer 12 spheres we're talking about here all of them together now but they're divided up differently in the denominator right one Of them gets divided by all of the factors of five things the other gets divided by all the derangements of five things and then which is 44 by the way so this one's 44

and this one's 120 okay here's the cool thing in mathematics this is well known this all collapses to Pi to 12 to the 12 over 12 factorial very famous in mathematics for two reasons which is why makes it even more famous okay it's The exact volume of the 24 dimensional unit hypersphere with radius one okay this is the volume of the 24 dimensional hypersphere it's also equal to the exact density of the leech lattice so this is a a place in Geometry where if you're talking about let's stack spheres and then you look at the

gaps left in between and we talk about the density of the Spheres compared to the gaps okay you with me well if you go up in Dimensions you get some surprises some Places happen where the gaps do weird things at this place the structure and the system are identical okay really beautiful in math all right so I'm saying this is the picture of our 12 spheres out here the outer parts of our simplest Universe it turns out that when we look at the plank time it has in seconds which is the base the natural base

of logic for it has a power of 44 and space has a power of 35 charge has a power of 18 temperature has a power of 32 Mass has a power of 8 the same exact division parameters for this structure structure same exact division parameters so we are just going to take hyperbolic rules that allow us to fit together all of these at the same time we want to take this structure so there must be some set of boundaries that allow us to compatibly be dividing one sphere 120 Ways another sphere 44 WS another sphere

35 two more spheres 18 three more spheres 32 and eight four more spheres by 8 okay another thing to note here there's a Ascension in power this one's the controller of the system in the sense that there's more of it than anything else okay okay 4 pi over 8 which is reduced to pi over 2 same thing okay but here we're writing them all in terms of how we're dividing spheres this is the outside structure we're going to Pick five rules five hyperbolic boundaries that connect this division structure and with those hyperbolic rules will then

have exact definitions meaning as many digits as you want I can't give you an infinite number of digits but I could give you a million or it could give you 10 million just not infinite of for what that actual boundary is what that number is which is a big Advantage right now we have an actual sense for a boundary of time from The measurements we have a sense for a boundary of of space and charge and temperature and mass we call them plank time plank length plank charge plank temperature and plank Mass okay um but

we don't know them very well because the way we know know them is only from knowing the constants of nature right they're entirely got from the constants of nature when we get the constants of nature many of them have the similar Dimensions so you can take them and say This is a constant of nature it got to be important here's a constant of nature they have similar Dimensions let me divide them out so they only end up with say one leftover Dimension right that seems simpler somehow well you can do that in many ways from

many starting different constants in nature and when you do it over and over and over you end up pulling out the plank time the plank length the plank charge the plank temperature and the plank Mass over and Over and over but from the many different starting points the number changes around the seven significant digit every time so there's like this vague everybody agrees up here then everybody disagrees at past that point okay and it really depends on which one you started with at that point so there's like the sense that there's something being put together

by these five things but somewhere after seven significant digits there's something Going on becomes s sort of subjective and or there's something other factor involved okay yeah yep yep yep yeah okay but here we've now got a picture let me show you real quick on the screen here I'm going to just give you five hyperbolic boundaries we searched and searched and searched and found so here's our minimal ARA structure from the outside our 12 Spheres okay and here's the way we're going to connect the eight and the 32 and the 18 and the 35 and

the 44 they're all going to connect this is the full set and then we're going to actually I need to say something about that there's a a rule to go from here to here and I bet you that rule is the way they're connecting to begin with since both of these are showing up okay but um this is just going to be how these division structures are all fit together At the same time and they have to only use things that the hyperbolic figure8 not makes hyperbolic boundaries okay cosiness hyperbolic signs the we strice constant

this is igk the units of of negative 1es okay that's all we have there that's it very simple structure and we're claiming it's the structure that divides these things compatibly and what does it do it comes with a rotation that each division has in the balance it's a way of dividing and rotating to Fit okay each one has a hyperbolic e is the base so it's hyperbolic rotation this zero this zeroth rotation ends up being the value this number for the digit of the plank time and the 44 is the power and the same thing

with each of these they become modular representations of these boundaries fitting together quite simple to understand but more importantly they're exact numbers all these green Digits here are digits we didn't have before okay and you can we can get more I just cut it off there because we don't have um measurements to explain it beyond that Precision okay so these five rules now to explain why these 12 exterior spheres are dividing in unison they can do it all at the same time without breaking the other rules for the other guy that's what these boundaries do

give us the five plank consonants to any Precision We want now we just need two rules this one and this one this is for how they're partitioning how they hyperbolically partition all of those boundaries and how they are fit together on the outside that's it just two rules for the structure so that everything stays balanced and with those five boundaries and these two rules we have actually found and note this comes from the structure of the hyperbolic figure a not Right the way it's partitioning we found that the simplest possible system of persistence has these

properties this is a a grid of 288 transforms Allowed by th those five boundaries those five hyperbolic rules the plank constants and the two rules for how they hyperbolically divide and how they're put back together okay this 288 Expressions nail all the constants of nature a are a result of the function of of these two rules I'm I'm going to go over the rules a little bit this is just broken into the exterior part and the interior part okay exterior interior the 12 spheres or the double covered interior sphere okay the exterior part is made

up of some boundary but it has to be only expressions of plank constants or things you can build from plank constants that's it and the action a here is the action is just the geometric way you're fitting together those PL constants so If it's a 2 pi then it means you're you using a circle to fit together those PL constants okay okay um so that's it two- part Outside Inside exterior Interior right and we have an action on both but the interior one only has one possible set boundaries it's always the same one because it's

the same structure on the inside it's not many options outside we have 12 different possible ways different structures of division but on the inside it's the exact same thing Every time so it's this plank length times the plank Mass over the plank charge squared and we take the magnitude of that because we're not taking the dimensions of it because it's the inside the outside has the expressions of the dimensions the inside is responsible for making the gap for that walled structure right every Gap has two sides and it's the size of that gap on the

inside that we're making here so the size we care about all Right this one is just a simple rule for how we're hyperbolic of dividing and the rule itself comes from the hyperbolic Figure 8 knot okay so let's do that now in more detail it's a super short story if you're following we have a description of a simple system you think you're seeing just right here of course we want to actually model it in a 3D animation it's very very beautiful right but it's just this this many pieces to it and the outside has this

rule right And since it's dividing these many different ways there must be five boundaries that fit together those ways making them compatible so we have five hyperbolic rules defining those boundaries which match the plank constants according to our knowledge so far and extend the claim for what those plank constants are but then when we use that we can take this structure here for the hyperbolic Figure 8 knot to find the rules that connect all of the actual Measured constant nature find the pattern in the constant of nature this has never been done right in any

other way in any way at all for a constant or a list of constants this is all of them the same time okay I need to erase let's see so it's basically explaining the relationship between all the constants of nature yes yes yes and if you know why they're holding and doing what they're doing you can start using them On purpose you do the right timing do the right placement do the right you know you can start manipulating charge temperature Mass all of the ingredients just the right way to make the transforms that nature can

already do instead of statistically trying to blow things up hard enough to make some certain thing happen we can finesse it just right save ourself a lot of energy and get something fantastic all right the Rule if I take uh the dialog Rhythm remember this was dividing the circle the measuring golden ratio it divided the circle to in six pieces one two three four five and this and this right so a third of a flip means divide the whole circle into six pieces right so let's take the DI logarithm of the full cycle one the

difference between that and the DI logarithm of the half cycle minus one well this Ends up being equal to 4 pi 8 squar okay put it right here 4 over 8 s is the square root of our root of our controlling equation here for our out outside structure we really like that number and here it's directly in the same Str information as the hyperbolic figure rate not in fact it comes from two limits in its structure and those limits suggest right away that we're Making some Mobius connection you know what I mean by that no

a mobus strip is like a strip of paper you glued it back together or tap back together but put a half twist in it okay so that it only technically has one side now here we're talking about a system that's is two- dimensionally splitting but we're going to take one that goes half of a cycle and one that goes a full cycle and a um mobia strip is exactly the thing that if you go around it one Time uh you've only gone Halfway Around in another way you have to go around two times to be

all the way to be around once in the other in in the second way right so it's a two-part cycle in one way and a one part cycle in another and this or a one part and a half cycle same thing okay so a Mobius connection is directly PL implied here which is a beautiful thing but it also is characterizing the square root right Square this it becomes to the fourth Power it's the same thing as our controller here cool okay well I want to start with our external way of dividing and we're just going

to pick a simple equation for Hy hyperbola because we need it to be hyperbolic and that's it 1X Plus X Plus X cubed if you set this equal to zero you can check its roots and they are equal to the imaginary golden ratio one over the imaginary golden ratio the imaginary golden ratio squared and one over the Imaginary golden ratio squared has four roots four roots okay and all of them are just imaginary golden ratio but this one uses it twice and this one uses it twice okay so you can tell that the structure the

hyperbolic structure we're picking here is is married to the structure we started with but this is our external way or our way of thinking how we're hyperbolically cutting things up okay H hyperbolically dividing things up or Partitioning so we call this the hyperbolic partition equation but we're one step away here from what we really want we want this hyperbolic structure as it's hyperbolically tied together it needs to turn itself inside out otherwise it's just going to go to Infinity right it's hyperbolic to infinity and never going to close so it needs to turn itself change

it by or modify it by putting one Loop one closed loop in its Structure so as it goes out it turns something around and now it's inverted like a mobus strip and it has to do it again and again and again over and over and over okay but if we change this side of the equation we need to change this side of the equation I'll put a star over our zero we need to complexify our zero but we can't change it in any way that's not compatible with the structure we started with so what are

we Going to do well if we're sneaky we can look at this structure and find out real asking wolf from alpha what happens if I start with this there's a one here and a one here in power what if I put a two here instead in there then what happens and then what if I put threes and fours and fives and six and keep going up well you find out real quick that there's a six cycle you get six different answers actually it's three answers and then Mirrored with a minus sign the same three answers

and then it repeats over and over and over no matter what number you put in there you could put 12 million in seven okay but it would still be one of those six answers okay so there's a six cycle in here if you put that one in here instead you would have a four ccle ccle the point is the six cycle has two zeros in it right there are two answers you can put in threes or sixes so if I put in I Times by dilogarithm of one over the imaginary golden ratio cubed minus the

dilogarithm of the imaginary golden ratio cubed now it equals zero if I put six here and six here also I would get zero so there's two zeros in our cycle from this structure all right so since I'm going to complexify this zero I need to do something to these zeros there's another One0 equals I'll just write it out make it really obvious di logarithm of one over the imaginary golden ratio to the 6th minus dial logorithm of imaginary golden ratio to the 6th so here's our two zeros so this is what we're going to do

we're going to have to change our zero because we've changed our system here we made it invertible we're going to just take the components that made our zero to begin with and swap them what happens when we Swap them is it becomes this di logarithmic difference I was talking about to begin with this one cubed is Nega 1 and six is one right so it becomes this one right here 4 pi/ 8 squ H yeah okay so what we need to do is we need to rotate our system to make our complexified zero let's move

this over a little bit 1/x + x + x cubed over 2 Pi equals now e to the 4 pi/ 8^ 2ar minus some Gap some Mass Gap because we introduced a hyperbolic structure now that's you got a separation in these surfaces it's it's a nonzero they're not touching right some surface some separation there we call it the mass gap of hyperbolic structure and the only thing that changes if you pick a different hyperbolic space is it has a different Mass Gap right you can model An infinite range of hyperbolic spaces they're scaled differently but

they're all hyperbolic spaces they just differ by their size of the mascap so here now we've got our our equation our rule for how we're dividing things up according to the external reach of this guy okay hyperbolically um I should note for those who have been watching for a while this can be written as I to the I to Pi 2 which is how I usually write it okay but today I'm writing it like this for Us um where am I going oh so this is our own this is our one rule now we have

this Rule and it has new Roots Our Roots before were the imaginary golden ratio Powers right and now the roots those things themselves got slightly morphed and changed because we Twisted the system once right and we gave it a non-zero Mass Gap by the way I'm going to put in here inspired from physics there's one Limit in mass in physics and it's the the biggest there's a limit at the bottom and limit at the top the biggest possible Mass you can have in in physics is the plank Mass so we put in here the famous

limit in physics called the plank Mass okay and when we do that we now solve for our equation and we get four Solutions what we call Z1 J2 j3 and j4 all right so these are our partition Solutions for our hyperbolic structure that's all that's what they represent they're geometric numbers like Pi like the golden ratio but they specifically represent this arrangement in hyperbolic structure okay that rule now I just need one more rule so these are all um symbols representations that like have already been they're already used and discovered by the not at all

the are entirely new that's something that you Everything else up until there is welln yes interesting yes so the jiz are new numbers and they have fantastic properties we'll run through them I'm trying to do it a little fast I want to show you the second rule this is just one rule now and you can see where the rule comes from the structure we started with right just mirroring it on the outside so we have to stay compatible with that structure and it has the same root okay good start um but now we need Uh

the rule for how we're fitting these things together out here all right so that rule is going to be some geometric action for putting the together the boundaries on the external part and then it's going to be fit together um with an action on the internal and a fixed set of boundaries it's the same inverted inversion boundaries over and over there's only once you fix the gap size then the cone is fixed the size of the cone and Everything and the way it relates to everybody else is fixed right so this is representing that's why

it has a symbol the scale of where the cone of the inversion happens in the hyperbolic structure okay that's what that one means and it literally is just composed of the plank length the plank Mass plank charge Squared we take the magnitude of that so the size of that tells you the size of our Gap structure okay and we're going to have some you for each different way we're fitting together these things together we're making a different con of nature each way we fit these different partition structures together makes a different constant nature and it

has to match inside structure and outside structure the 12 outside and the double Covered inside okay well that's pretty simple we have fixed here so there's only three things to check in this rule right and this by the way is going to give you Conant of nature the output here for every time we fit together things into this rule gives a constant nature in the structured Universe we're building right so this universe has so many constants nature 288 because it's tetrahedral right the miracle is that once we know That we can take the constants of

nature that actually exist put them here solve for the boundaries with the dimensions of the constant solve for the primary action from the first bit of the number you get the first sevenish digits right and then you there's going to be because this this has a number that's basically 1 * 107 real close to that okay so it's it only comes into play at the seventh digit that's why everything was going off there and it happens to be made just From those three things primarily in our structure to begin with all right that's it that's

our rule for fitting things together and this our rule for how we break them apart and they're both entirely simple structurally wise right I mean I think you can see this one comes from the inspiration of the structure here nature picked a size so said well let's let's just force the right size of mass in here to see what happens in our structure start learning The rules and so we maybe find out why nature picked that size yeahh we're basically done we've we've taken an understanding of the simplest universe that can be built the simplest

structure that you can form that then continues to perpetuate itself and it division structure in that perpetuation is folding all of its boundaries and its parts inside out over and over and over along exact Division uh specifications right those very specific things happening 288 of them and we then took all the constants of nature the 28 immediate concept of Nature and started investigating to see if we could find a pattern using just these two rules and the five rules we have to specify more precisely the hyperbolic boundaries we're calling the plain constants okay the ones

fitting together all these external divisions at the same time great so it's extremely Simple and it starts from the simplest geometry that can exist as far as we know this point in history okay it starts from the simplest structure that's possible logically and it's division structure apparently is entirely compatible and therefore perhaps responsible for the actual parameters of reality there are repeatable features built into reality and this is a story for a reality a structured form that Keeps itself that partitions to those features I'm I'm extremely excited by this as you can tell because this

this doesn't mean we've now made a replicator this means this gives us a framework by which it becomes possible to imagine how to build a frame to build a replicator right what kind of geared structure what kind of components what kind of materials what sort of ways of we're trying to make these materials be manipulated inside the machine and so on This allows a whole slew of different ways of doing those things using the actual constants of nature to do the transforms that they're already doing on the boundaries that they're working on right so we're

not working on level of reality at that point right now because we've been missing the picture for what's going on onone at that level of reality but here I'm saying we have a picture for a description for what the simplest possible structured Universe Could be or Perpetual system A system that actually has measurable properties in it and that system has mapped incredibly well to all the measured properties we've wanted to explain so now the goal is to look into these fantastic Mysteries this column there's we have 8 * 36 um8 columns and 36 rows or

equations per column and that's 288 this one is composed of plank constants in the Boundaries 's a helping too much helping keep okay PL constants in the boundaries right every time here four Pi 2 pi j1^ S one of our hyperbolic partition parameters the jewel the unit Jewel there's a one there okay and the gig the gig electron volt there's one there all right but on the right hand side it's just half of the real part of the eye of the eye of the eye of the eye of the eye the eye the eye Power

Tower the infinite eye of the eye Power Tower which you Might not have any picture in your head what that is right here's our eye of the eye of the eye Power Tower it spirals in with each eye you add it gets closer and closer and closer and closer and closer to this point and if you notice there's actually a a three-fold symmetry here there's a spiral going here and there's a spiral going here and a spiral going there's three arms and they're perfectly spaced the cool thing about it is is it was picked Out

by this entire swath of the constants of nature right you see a big pattern here right these are all exactly the same we have 28 of these down here and they all have imaginary power imaginary part of the Power Tower and then we have four half imaginary Parts and four half real parts and then real quick I'll add six more and six more real so that's a to toal of 12 real plus 1 2 3 or half and half that's one And half and half so 14 12 and 14 wait we had 12 spheres and

two on the inside o this is this pcture is getting rich okay and the imaginary Power Tower somehow has something to do with that H I want to look into this eye of the eye of the eye Power Tower a little bit just for fun I to the I to the I to the I it's a fixed point of a fixed Point equation you can write equation down for which it's the solution of it okay and it's just this x is extremely Simple equals I to the x o that's a short and beautiful equation okay

but why is it true because if I put the answer here for x and here for X well since if this is already infinite I to the infinite I is equal to I to the infinite I it's the same thing okay so we can also rewrite this equation as well I've already I've already written it up over now I stands for I is the square root of negative 1 okay yeah The same I we started out with over there you can also rewrite this equation I have it over here there we go fix Point equation

for I to the I to the is this or you could rewrite it like this or like this and you will notice striking in that equation there's a number 4 Pi 4 pi over 8 which reduces yes to to pi over 2 I'm leaving it into 4 Pi representation because of our sphere story right e to the 4 pi over 8 it's a hyperbolic Rotation in fact it's half e this is e to 4 pi over 8 s right it's half of that guy beautiful beautifully centrally right part of both parts of our picture there

the whole thing's coming down to just the binomial Constructor Rule and the hyperbolic partition equation which are both understood as being the way we make sense of how the world gets put together once we form the hyperbolic figure8 knot okay and this partition set has been Able to match within the measurement satisfication within within the error bars that we're happy with right all the constants in nature and then that's how we found it we use them to search for the pattern that would be compatible with all this and it's really really really symmetric I mean

let me let me remind you real quick we have five boundaries that divide five ways 44 35 18 32 and 8 right well this whole structure is two- part for remember There's the left side the outside and there's the right side the inside turns out there's exactly if you count the number of constants of geometric constants on the right hand side the unique ones and list them all up you get 44 if you count all the constants on the left side you get 35 and magically there's exactly 18 overlap between them oh also there's a

lot of cool things going on with that 288 is our division structure our maximum Tetrahedral division number it happens to have 18 factors mean meaning there's 18 different ways you can break up 288 1 288 2 144 and you know so I have a list over there but 18 different ways or you can also get an 18 intering from digit sum 2 plus 8 + 8 = 18 there's a lot of symmetry happening in this structure this is a a language buil into reality for the transforms that are allowed for the structural components that can

be in Things that persist atoms building block so this is literally the blueprint of a language the language of physics right and it all comes down to five plank boundaries five boundaries for the five different dimensions under the projective balance under the simplest possible projective balance or hyperbolic system MH so the hyperbolic Figure 8 KN basically explains why all of these exist yeah these things are the reason all the things in physics are Allowed M anything that can happen in physics simple things or weird things so they're also they're not just the structural equations for

the structure of the of the world that they're framing they're the structural equations for the transforms that a world allows it's mind-blowingly simple so we just barely uncovered a pattern to the constant of nature right and it's a pattern that you can interpret in a simple way meaning through the lens of the simplest Structure OFA to Geometry so that means now we got to use that understanding to start getting our training our minds to think in this language okay it's the first step right see what the element how do we apply this yeah and then

how do how do we apply it how do we make it do these things now that we know that this is the structure but and that structure is already now in the stuff we're already looking at right it's not like this is a structure we could apply To something else this is already applying to the structure of everything we've ever touched or seen some of these math concepts were relatively new to physicists right I mean projective geometry isn't something that's mainstream taught even though physics is mainstream in bed with the dra equation which came from

projective geometry but that's not the way we talk at this equation uh the dra equation the foundation for all quantum mechanics Okay yeah Quantum field Theory it characterizes the square root of that double shell yeah just characterizing the structure of hyperbolic space in a different way okay and it gives you the the rules the basic rule set in quantum mechanics but we had to put in the constants of nature to make it right okay so the basic rule set has uh unitary operations is all acting on ones and ones and ones and then you have

to scale things by something to make it True and we look in the real world and find what we have to scale it by and turns out these constants nature like plank constant and electrons mass and so on are the things that scale its hyperbolic structure in order to give us the right rules for Quantum field Theory let's look at C remember eal mc2 your equation there well here's the speed of light it's the plank length over the plank time which gives you the right dimensions for Speed That's cool so this characterizes the boundary of

speed because we use the boundary of length and the boundary of time to form it and the inside structure maintaining the gap for that boundary is the square root of the Gein constant the smallest possible manifold and this is the partition pieces is using Z1 minus J2 for the partition to do it so it's actually happening by having something on the inside fall apart okay the things Falling apart along the square root of the boundary of the smallest thing that if you fall apart on you're still being balanced the smallest thing the fastest velocity is

having that exact perfect relationship I love it to understand how to do the transforms between mass and energy I mean we have one inside now there's this Tower of out of the eye involved in all the transforms so we got to figure out how do you make one step up because it looks from the eye to the Eye to the eye to the Eye Tower symmetry when you figure out how to make one step along that Tower every other step is exactly symmetric you can just do it again right beautiful Insight when you figure out

the machine that steps between the eye of the eye of the eye Towers in your structure you've figured out how to connect and transform between 36 of the 288 constant of nature how to use them just from that one Insight because we now have this pattern that Tells us they all connect like that so it's it's a huge step we're at and we're just starting now to see what to do with it like that but that that's that's the story we have a story now that does connect all the constants of nature to a simple

geometry the simplest by definition geometry that can be persistent and its partition structure that's it we can now visualize a universe that contains this partition structure and has all those features or Qualities that we call constants of nature so this is the alphabet of invertible transforms or this is the allowed operations on things that persist so if you want to be made of atoms before and after then this is the way this is the rules for all the steps all the paths between uhhuh so now it's just putting the alphabet together to make to make

some how they yeah so there there's a a lot we can do now it looks like the entire Structure of physics can be completely Whitted down or fit into partition Theory fantastic [Music] [Music]