Rectangle Theory

## Once upon the time - Second introduction to Mythoversum

In the dark inside the Great Archive was one of the trillions of books written by Phonn himself, made to endlessly inform gods, and deliver knowledge of an existant law within Mythoversum in on itself, the Rectangle Theory. It was an existant and canonical law that was an unstoppable form of dimension's existance, and all of it described down in the book made out of Phonn's own skin, to make it truely indesctructable, a book made by an Omniscient God for the good of the people.

"In my name, keep this book close to the newer beings and travellers to understand true beauty and importance of life. Every structure by itself as a masterpiece created by one and only, my name resides there, I shall continue to share the truth to newer generations, the most important lesson to understand, is that no matter the world you reside in, or on what plane, everywhere is just something so beautiful." - This citation was written on the beginning of each book like this found in every Great Archive around all Constellations, including prime reality.

## Rectangle Theory

Rectangle Theory is a law that exists for spatial dimensions to form into rectangles once they reach infinity, and the more rectangle formations exist in a structure; it means the higher exponential infinite amounts of dimensions exists in a structure. These very Rectangles created various bigger formations such as Prime Rectangles, Quadraplex Lumina, and Preso Lumina. To explain the quantities of spatial dimensions there are inside of them - a known mathematic theory will be used - widely known as the famous 'Set Theory' that is known for it's sets (collections of elements), infinite cardinal numbers (cardinal is the number of elements of a set - in this case the set is infinite) and theory's creations of axiomatic systems (One of the more widely known is ZFC - Zermel-Fraenkel set theory that remains the most popular) - in this case Set Theory will be used for large cardinal property along with smaller infinite/transfinite cardinal numbers in order to describe said quantities best - of course in exclusion of The Enlightment.

It is important to know that Junctures remain as the last 'structures' that will be described using Set Theory.

Rectangle Theory is also known to be not only used to describe quantities of dimensions - but also to describe quantities of anything else - for example superiority - known by Rule of Concepts, or amounts of structures, realities and more.

**Rule of Superiority** - One of the most important laws of Rectangle Theory is that of spatial dimension's superiority to one another and how they view its less powerful counterparts. It is said that every amount of dimensions view smaller than them amounts of dimensions as a mere fiction, and completely dwarf over them (Ex. 5D>4D, 5D dwarfs over 4D, and views it as nothing more than a mere idea and fiction.), it also means that lower dimensional structures cannot affect higher ones than themselves. Rule of Superiority is often times called: relations between 'reality and fiction'.

**Rule of Consistency** - Second important law of Rectangle Theory is the one that explains work of spatial dimension's structures. Each with more dimensions structure is superior over the lower (ex. NL (cardinal quantity is Strongly Mahlo) > QL (cardinal quantity is inaccessible for PR), thus, NL is superior to PR).

**1 Rectangle** - Rectangle is the definition of infinite amounts of mirrors existing in a structure. This dimension's structure by itself is as said before, in abstract and illogical 'appearance' of a rectangle, thus all said rectangles or any other superstructure in appearance (along with Mirrors themselves) are an abstract 'apperance' that is not related to the dimensionality itself but rather a basic hallucination of what ones sees upon seeing them, thus, all structures' 'shapes' and 'looks' described by the Rectangle Theory are a mere simplistic lie of an illusion of how they would really look like.

(With all this out of the way - R - Infinite amounts of dimensions.)

**2 Rectangles** - 2 rectangles mean the superimposion of one another, creating two exponential size of quantity of dimensions which increases in amount of rectangles, as such creating a far gap between rectangles below them, many rectangles (from 20 to more) create megastructures that then orbitate around Prime Rectangle. (R^R)

More examples:

4 Rectangles = (R^R^R^R =

ℵ
2

{\displaystyle \alef\_2}

)

[ . . . ]

**Prime Rectangle** - Prime Rectangle formation creates infinite amounts of rectangles, thus infinite amounts of superimposion between R, creating a first prime set of rectangles that contains all other arthmetic operations that could be done to R. ( R^R^R^R . . . =

ℵ
ω

{\displaystyle \alef\_\omega}

)

**Quadraplex Lumina** - Above all possibilities that could be done to R in superimposion value or even higher in ordinal sets, exists a structure that is formed only if the amounts of dimensions cross the value so high, that it is truely inaccessible to obtain by amounts used by Prime Rectangle structures. It is in fact so inaccessible that the comparison gap between the cardinals is like between all finite numbers and infinity. Quadraplex Luminas look from the view of them like stars made by indescribable amount of mirrors that create it, shinning bright, yet invisible and immaterial light throughout the structures, they can however; become material at times creating a cycle of day and night within Mythoversum where dimensions exist. These very structures can grow flora so strong it might be visible by gods that are not capable of interacting with dimensions themselves, however, such flora as before, would remain immaterial, but would surround the 'star' appearance of the structure. In this case amount of dimensions would be ( f.e 3 Quadraplex Luminas = κ^κ^κ, where κ cardinal is an inaccessible cardinal for Prime Rectangle. )

**Nirvana Lumina** - Nirvana Lumina has the same relation between Quadraplex Lumina, as the gap between Prime Rectangle and QL, it is thus for it; strongly inaccessible and cannot be obtained by it then again. Nirvana Lumina is a bright purple conglomeration of a value that creates a structure that simingly resembles a black hole from the look of it; by itself Nirvana Lumina however is not all black-colored, and it is surrounded by the color purple by its grant horizon, a beam coming out of it, possibly due to power it wields, that falls back into Nirvana, creating a sort-of fountain, it also seems to bring around it less strong structures such as Quadraplex Luminas that orbitate around its might and strength that makes fabric of dimensions bend over its large cardinal of mirrors. There can be many amounts of Nirvana Luminas existing in one structure, just like with other ones above, and each amount would be in similiar superimposion as with the original rectangle structures, in this case amount of dimensions would be (2 Nirvana Luminas = κ^κ, where κ cardinal is strongly Mahlo, and strongly inaccessible.)

**Preso Lumina** - Preso Lumina is a huge structure that is conglomeration of mirrors so big, that the cardinal κ that is used to represent Nirvana Lumina and Quadraplex Lumina, in this case is weakly compact by the definition. The entire structure by the looks is a mythical mirror room structure that creates bigger and bigger image while remaining in shape that no longer would be rectangle, but with more and more Preso Luminas existing, the more the overall image of dimensions resemble a sphere. (ex. 3 Preso Luminas = κ^κ^κ, where κ cardinal is weakly compact.)

**Ring Lumina** - Ring Lumina is the final effect of what amounts of Preso Luminas would be close to reach; it now resembles a sphere, a sphere that could be by itself called a ring that surrounds the entirety of the structure as if it was a planet that asteroids orbit on. It doesn't mean much from material view however; Ring Lumina has inside its rings Preso Luminas that create the ultra-minimalistic inside of the Rings themselves, which, when entered would spaghettify a being into another, smaller existance in which they can see Preso Lumina. Ring Lumina is so bigger than Preso Lumina in quantities of dimensions that the κ cardinal described in amounts of dimensions fits into the definition of totally indescribable. (ex. 4 Ring Luminas = κ^κ^κ^κ, where κ cardinal is totally indescribable, which means κ is

∏

∏

m
n

{\displaystyle \sideset{}{\_m^n}\prod}

-indescribable for all positive integers n and m.)

**Prime Lumina** - As rings would surround the structures; there would come another one, bigger than any of these, and uncomparable nor uncountable for both, it is what surrounds the rings themselves with strong trans-dimensional portals that would all create a huge conglomeration that could be compared to how Universes are being created and exist. Prime Lumina is by its quantity of dimensions again represented as a κ cardinal, this time however, the κ cardinal has a sharp increase to it. (Ex. 2 PL = κ^κ, where κ cardinal is called Ramsey, and 0# exists.)

**Trival Provincia** - Trival Provincia is what strengthens surroundings of PL, it is known as the natural existance of abstract matter of dimensions, creating illogical existance on invisible plane of existance, making different events around other structures as it introduces all other structures to a dimension's plane of existance, creating new rules that are abided and exist only inside the dimensions' structures themselves. Trival Provincia however is far stronger than PL to a level in which TP sees PL as simply apart of fiction. Here, the κ cardinal quantity of dimensions here is called Woodin, as by itself it fits the amounts of mirrors that create TP. (Ex. 3 TP = λ^λ^λ, where λ cardinal is Woodin by definition.)

**Trival Thorneum** - Trivial Thorneum is a new 'reality' of which all of the rest of lower Rectangle structures are forced to exist in once the amount of dimensions are met. This new reality becomes the conceptual plane of mythology of which all are symbolic by the dimensional planes. It is widely known by many deities from its iconic 'Gharm', which is a uncountably infinite sized pyramid that exists on plane of Trivial Thorneum and is an untouchable part of it. TT is thus, and by many other reasons of it exceeding over the concepts of lower structures times that one would say is 'uncountable', the κ cardinal that is used to describe the quantity of dimensions existant in structure, is here called supercompact. (Ex. 2 TT = κ^κ, where κ cardinal is supercompact (λ-supercompact).)

**Pangea** - Pangea is what one would call the further dimensionality that exists within mythoversum. It is viewed by many as different structures and objects, however all of them are described as 'pale and endless', to those that can even access and see it. Some view it as a wide space of empty fields of bright blue grass and floating structures of lower to it mirror quantities. However, what is known from PsiSpheres' usage is that one Pangea contains κ cardinal amounts of dimensions, in which κ is a Berkeley cardinal. (Ex. 1 P = κ, where κ cardinal is called Berkeley by definition.)

(There are further superstructures from then now on which are futile to describe and point out in a list but they are following all infinitely large cardinal hierarchies possible until reaching The Enlightment - These are often called **'Junctures'**)

Junctures themselves have an ever-increasing gap of superiority between them - as each Juncture as said before are infinite hierarchies of further superior large cardinals, this gap between each increases as much as there is gap between natural numbers and large cardinals themselves.

**The Enlightment** - Enlightment is the end of journey of dimensions; where all mirrors bend into one, it is by itself both dimension's structure but also genuine Mythoversum structure that exists and has a purpose of taking full control over all dimensions, as known from Cosmology, The Enlightment has inside itself entire Set Theory along with everything that includes it - while being inaccessible to it completely - being in a plane beyond mathematical or logical solutions of everything below it including said theory or any other amounts of Mirrors. Enlightment does not have its counter-parts or quantifiables of it, there is only one Enlightment in one Constellation, and Enlightment itself exists inside the Enormity.