"...I never expected that we would actually obtain the core foundation needed to complete that plan."

Recalling his transaction with Ying and the dazzling gem he had obtained, he was filled with a myriad of emotions.

The seed of power obtained through the exchange between Pantalone and Luminosity was none other than this mysterious gem before them, shimmering with dazzling brilliance—or perhaps it should be called by another, more formal name:

"It's unbelievable that such a stable 'imaginary singularity' could exist, especially in the form of a stable state within the core gem. But with this, I have a better grasp of 'that' plan."

As Pantalone muttered to himself, gazing at the mysterious gem in his hand, he inadvertently uttered the gem's true name.

Yes, the power seed that Pantarone obtained through the exchange with Luminosity was none other than the mysterious gem in his hand, the 'imaginary singularity', which existed in the form of a core gem.

The so-called 'imaginary singularity' is the actual manifestation of the 'imaginary' authority within the same tree-sea structure worldview as the world he inhabits and another world.

It can also refer to an impossible structure that can trigger all sorts of incredible supernatural phenomena; this 'singularity' has the ability to distort the real world.

Based on this 'singularity' itself, many incredible phenomena can be achieved, which can also be called the manifestation of the so-called 'imaginary' power.

However, this is not the key point represented by the 'imaginary singularity' that Pantarone possesses. As for the significance of the 'imaginary singularity' itself, this power is no different from anything else to Pantarone.

What truly matters is what this power can bring him. After mastering the 'imaginary singularity', a certain idea that had once crossed his mind resurfaced.

He once thought that the plan had no basis for existence, but now, with the knowledge of the 'imaginary singularity', the possibility of the plan being achieved has become a possibility.

By analyzing and studying the power of 'imaginary singularities', he has the opportunity to grasp the authority of 'imaginary numbers' themselves.

More importantly, the 'imaginary singularity' in his hand is actually 'dead', meaning that the 'imaginary singularity' in his hand is an extremely stable form.

These imaginary singularities, which are in a 'dead' state, will not change even when stimulated by external factors, which makes it possible to study them.

If Pantalone could fully grasp the 'imaginary singularity', then he might even be able to create his own 'singularity' in some way.

This matter seemed somewhat absurd to him, but for some reason he had a vague feeling that his abilities might be able to accomplish it.

This made Pantarone ponder the origins of his abilities and the origins of the twins who descended upon the continent of Teyvat.

Pantalone even once suspected that his abilities came from the apostles of those 'gods'.

It is not the gods of Teyvat, but the god that symbolizes the will of the 'imaginary number'.

Just like those apostles of 'God', they wield the authority bestowed by 'God'.

However, he later rejected this possibility, as he could sense that the source of the 'imaginary energy' he possessed did not come from the same place as the apostles of those 'gods'.

This power of 'imaginary number' seems more like a projection from the origin of 'imaginary number', but this is merely his conjecture.

Pantalone may not be able to ascertain other matters, but as twins who have descended upon this continent.

It must have an undeniable and close connection with that world on the other side of that distant starry sea.

Looking at the 'imaginary singularity' in his hand, a strange glint flashed in Pantalone's eyes.

Chapter 162 Research Experiments on Imaginary Singularities (4k)

After obtaining the 'imaginary singularity' from the hands of the 'Princess' of the Abyss, Pantalone had already considered from the beginning whose help he would need to thoroughly study and master this power.

Although he can control the power of 'imaginary energy' at will, he cannot be considered a unique master in the research of other areas of 'imaginary energy'.

In a sense, he knew nothing about 'imaginary numbers' themselves.

Even though he could easily control the 'imaginary singularity' in his hands and use it for his own purposes, and with his mastery of 'imaginary energy', he could maximize his power.

But that wasn't his goal. It didn't align with his true intentions and thoughts, which were to maximize the use of the power he possessed.

What he needs is to grasp the fundamental principles of the power he holds, and if he can do that, he will be able to create the 'imaginary singularity' itself that meets his needs.

An 'imaginary singularity' is an impossible structure that can trigger all kinds of incredible supernatural phenomena. This special structure determines the phenomena that an 'imaginary singularity' can trigger, and different 'imaginary singularities' will naturally trigger different phenomena.

Based on this, in order to achieve the effect he desired, Pantalone needed to understand the process by which the phenomenon was caused by the 'imaginary singularity'. To do this, he needed to know exactly what the structure of the 'imaginary singularity' was.

Only by mastering this structure could he be free from the constraints of the 'imaginary singularity' he held and control the phenomena he could cause. Pantalone knew that fully understanding the power contained and represented by the 'imaginary singularity' itself was a pipe dream and an impossible thing.

Even the most talented and eccentric genius on the continent of Teyvat could never have done such a thing, but for Pantarone, he did not need to fully comprehend the power of the 'imaginary singularity'.

All he needs to know is how to achieve this incredible structure and grasp the process by which the 'imaginary singularity' triggers the phenomenon, then he can do what he needs to do.

In order to study and understand the power of the 'imaginary singularity', he needs a madman who has a sufficient understanding of 'imaginary energy' and possesses talent that is unimaginable to the world, so that he can help him study and understand the power of the 'imaginary singularity'.

There is only one such person on the entire continent of Teyvat, and that is Dr. Dottore, the second seat of the Fatui Executor and his chief collaborator, a mad scholar who has been researching the power of 'imaginary numbers' with him from the very beginning.

Döttorei possessed the deepest understanding of 'imaginary energy' on the continent of Teyvat, and was the only scholar capable of thoroughly comprehending and researching that power.

Only Daughtore could help him do this; even the god of wisdom himself could not do it better.

Because the power of 'imaginary numbers' is not within the 'world system' of Teyvat, it is an independent and transcendent power that no force can interfere with, originating from outside the world and stemming from the world's birth, representing the highest priority energy level.

Although he could study the power of 'imaginary energy' independently without Dotole's help, he did not intend to devote all his energy to it.

Compared to this, he had other more important things to do. This was not a problem that could be solved simply by discussing 'imaginary singularities', but a difficult problem that required much more preparation and work.

If 'that' cannot be solved, then even if we have more 'imaginary singularities' as usable material, it will be useless.

In the face of the final outcome, it's nothing more than a death struggle for a little longer.

As long as Dottore does not give up his pursuit of the mad truth, in his quest to find out what is truly ultimate.

Then he would never give up his attempt to climb the path of 'imaginary number' and try to master the power of the real 'imaginary number'. Knowing that madman and genius so well, he knew that as soon as he saw the 'imaginary singularity', he would definitely be trapped by this power.

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