Samuel stood unfazed—unmoved by anything, he stay froze while gazing into the abyss.
Mercurius body lay on the ground seems dead, his chest pierced by a sword called [Al-Kaddith]—a sword that contains countless of immeasurable power, a non-existent sword that are unbound by the fundamental concept of space and time.
Mercurius dead body slowly began to faded away into nothing—eventually perish into the abyss where life met death and fate met end.
Our protagonist, Samuel thought deeply to himself.
"How weird, although I've avenge for the death of my family. This feeling, imprisoned me."
"As if I'm a prisoner of boredom, or perhaps I'm not bored. I'm just couldn't accept to win with an ease like this—what I should do next? Just remain as a cold entity that knows no mercy or should I change."
Personally, Samuel wished that he wasn't born for this destiny—ever since he was little, he tried countless way to end his life. But the warmth smile of his mother, the happiness of lives he had was the only thing make him want to continue living.
Samuel trying to shake the thought off from his head, right at that moment—countless army in gold, all of them were holding a sword that capable of erasing the concept of death & life.
Although he was outnumbered, Samuel remain calm—he shrug his head as he speak.
"How unfair, one against trillions of army an incarnation of The Eternal Endless, Mercurius."
Samuel smirk as he took his sword that were used earlier to kill Mercurius—without any sign of fear, Samuel told to all of the army in gold.
"Let's end this war between The Divine Gods and The Human Race."
With that final word, he launch an attack and all of the army in gold as well—the battle cause a distortion to the space and time causing the meaning of causality meaningless.
Each dimensions stacked layer to layer transcending one another, were transcended and erased by Samuel—each strikes he launch is precise and bold. [The 0th Realm of Al-Monad] contains infinite dimensions, each dimensions structure were using the principle of N-dimension concepts.
The N-dimension concepts quite easy to understand—if n=1 is equal to 1-dimensional [spatial], then n=2 and n=3 are also the same number of dimensions of it's front number. It was like explained in "Orthogonal Projections" & "Stereographic Projection" to easily define the abstract meaning.
It's also Euclidean geometry which contains the axioms of euclidean geometry—of course the formulas for this theorem is none other than Pythagorean theorem which use the simple math formula of (a²+b²=c²), Distance formula for (x₁, y₁) and (x₂, y₂) in a 2D plane is: √((x₂ - x₁)² + (y₂ - y₁)²), Area formulas which is for lots of shapes like circle, triangle...etc and use this Area = 1/2 × base × height (A = 1/2 × b × h)+Area = π × radius² (A = πr²)...etc (for other shapes).
Of course, Euclid also defined a set of axioms (fundamental truths) and postulates (assumptions) that form the basis of Euclidean geometry—this dimensions also use the manifolds theorem. A topological space is second countable if it has a countable basis. A neighborhood of a point p in a topological space M is any open set containing p. An open cover of M is a collection {Uα}α∈Aof open sets in M whose union Uα∈AUα is M— Suppose the cross is locally Euclidean of dimension n at the point p. Then p has a neighborhood U homeomorphic to an open ball B := B(0,ε) ⊂ Rnwith p mapping to 0. The homeomorphism U → B restricts to a homeomorphism U −{p} → B − {0}. Now B − {0} is either connected if n ≥ 2 or has two connected components if n = 1. Since U − {p} has four connected components, there can be no homeomorphism from U − {p} to B − {0}. This contradiction proves that the
cross is not locally Euclidean at p.
φ◦ψ −1:ψ(U ∩V) →φ(U ∩V),ψ◦φ–1
:φ(U ∩V) →ψ(U ∩V) (Manifolds) are C∞— the transition functions between
the charts. If U ∩V is empty, then the two charts are automatically C∞ compatible. To simplify the notation, we will sometimes write Uαβfor Uα∩Uβand Uαβγfor
Uα∩Uβ∩Uγ. What about Smooth Manifolds? Well it's an atlas M on a locally Euclidean space is said to be maximal if it is not contained
in a larger atlas; in other words, if U is any other atlas containing M, then U = M—A smooth or C∞manifold is a topological manifold M together
with a maximal atlas. The maximal atlas is also called a differentiable structure on M. A manifold is said to have dimension n if all of its connected components have dimension n. A 1-dimensional manifold is also called a curve, a 2-dimensional manifold a surface, and an n-dimensional manifold an n-manifold.
This is only one of a infinite stacked of dimensions hierarchy chart—there's infinite hierarchy where there's infinite dimensions contained inside it. It's just like an infinite box, inside the box contained infinite boxes—and inside of all the boxes contained another of infinite boxes. This goes on infinitely, and the stacked dimensions are just like the description.
And [The 0th Realm of Al-Monad] were completely destroyed, no speck of sub-atomic level particle remains attached—but what's more surprisingly is that, the realm not only destroyed but also perish into nothing. All of the army in gold were erased from existence although their existence was a paradoxical existence of non-existent which meaning they're aren't exist yet they aren't non-existent, they're are non-existent yet they are existence.
Samuel use his powers to re-create the realm once again in it's original state—he returns to [The Sea of Naraka] where the duality of evil and good exist in this realm with morality—where there's actions, there's consequences just like human world principle.
Samuel sat on the throne inside of his palace, pondering deeply into himself while staring towards nothing and reflect nothingness on his eyes.
"By the next moment, the holy knight chosen by the divine spirit would arrive here to taking my life away with any necessary means."
He crossed his legs, the left leg lifted and put on the top of his right leg—this indicating that he was confident and aware of what may come even if it was unreadable scenario to imagine with.