Overviewing the Ripples of Unknowable Domain

The information here comes from a post made by the official account on Hoyolab on 01 November 2024.

“If the truth of the universe is cruel and stale, would you still yearn for the answer to the ultimate question?”
There were scholars who spent their entire lives searching for answers, only for a genius to transcend time and provide the solution.
For that genius — #83 Herta — being a “genius” was merely the starting point. She sought to reach higher dimensions, higher worlds, to surpass omniscience and overlook the Unknowable Domain that even Nous had never fathomed.

Should one compare one's own knowledge to a circle, the greater your knowledge, the larger your circle, and the more unknowns lay outside your circle.
Leaving the Circle of Knowledge and creating new insights from the realm of the unknown is to stride upon the Path of Erudition.^[1]

A concept proposed by a Genius Society member, describing it as a cognitive tipping point that can permanently alter the definition of knowledge.
From the initial discovery of fire, the early questionings of gravity… Each instance where a scholar has stepped beyond the boundaries of the Circle of Knowledge led to a significant impact on the world. In the world of geniuses, these impacts are exceptionally evident.

The domain of knowledge itself is a boundary set by Nous. When scholars expand their knowledge to a certain extent, approaching the edge of the known circle, they may encounter obstacles, as if an invisible hand is preventing them from stepping into the unknown, forming a continuous Unknowable Domain.

Meanwhile, the Knowable Domain is an experimental field created by #4 Polka, where probability and coincidence hold no meaning. Polka believes that chaos and the unknown will lead the universe toward Finality prematurely. To preserve the perfect future model declared by Nous using “Moments,” she relentlessly hunts down geniuses, attempting to limit the growth of universal knowledge and extinguish the possibility of chaos.

At the Futurological Congress for the division of Scepters, 95% of the computation power was monopolized by the leading schools, leaving all other scholars to scavenge the remaining scraps. Patavia, a scholar unaffiliated with any school, was allocated only one ten-thousandth of a Scepter's computational power, which she planned to use to study a strange signal that had been troubling her — a signal whose strength and frequency remained constant, regardless of time or location.

However, the Emperor's death caused all Scepters to shut down, ceasing their frightening real-time decision-making. The School of Pure Creation decided to physically link dozens of Scepters to achieve multiplicative extrapolation effects. Scholars' allocations were revoked, and their laboratories seized. No one could go against this forced migration. Patavia's years of hard work were lost, buried in the frenzy of rapidly fluctuating data.

Yet even the connections of dozens of Scepters could not awaken the inorganic intelligence created by the Emperor. The genius who had passed away mocked the incompetence of mediocrity in its silence.

The signal discovered by Patavia was a ripple with Imaginary backgrounds infused, a solitary wave undisrupted by anything. She posits that the source of the wave can be used to build a model that describes the universe's movement trajectory, and in so, solve the fourth Cosmic Conundrum at the Futurological Congress — Is the future of the universe predetermined, or is it chaotic?

She relentlessly sought answers and finally reached the source, gaining the opportunity to expand her mind through the Scepter, just like the Emperor, even to the point of self-coronation. Yet, plagued by self-doubt, she abandoned the idea of coronation and chose instead to receive a moment of contemplation from the Erudition. She was fortunate enough to glimpse the mindscape of the Erudition, but could not comprehend the knowledge that lay beyond her understanding, managing only to desperately inscribe the fleeting formulas that flashed through her mind.

Years have gone by, and Patavia has attained a doctoral degree.^[2] The formula she left behind became the famed solitary waves theory. People both praised her for being the one to have posed the question and pitied her for being unable to solve it.
She had asked herself this question over and over already: Would things have ended differently if she had chosen to crown herself? Is the distance between mundanity and genius really insurmountable?

Member #83 of the Genius Society. The real master of the space station who has always hoped to advance the universe's overall knowledge.

The solitary wave theory that was left behind by Patavia has confounded the Cosmos for almost a hundred Amber Eras and almost shut the entire universe within the Circle of Knowledge. That is, until the day that Herta solved it, elevating herself to the rank of genius.

As the starting point of Herta's academic achievements, solving the solitary waves theory is her proudest accomplishment.
When searching for the solution, she encountered a constant. When the universe's unstable index exceeds it, the future will veer towards the chaotic unknown. When the unstable index is less than it, the future will fall into an ascertained trajectory, and free will ceases to exist. Yet in this universe, the forces of various Paths constantly press against each other, causing constants to collapse and shift. Whether the future is destined or chaotic remains an unanswered question.

In her later years, Patavia lay bedridden when a girl, traversing time and space, arrived to show her the now-proven solution to the solitary wave theory. “I just wanted you to see this.”

“Are you a scholar? Or… Have THEY looked upon you as a genius?” Please be a scholar… Patavia prays over and over.
“…” The girl remains silent for a moment. “A scholar. Like you, I am a scholar that poses and answers questions.”

“Putting aside the changing constant… Youngster, in your opinion, is the future of the universe predetermined, or chaotic?”
“Who knows?” The young woman's reply is unexpected. “Perhaps even Nous THEMSELF would like to know the answer to that question.”
“I see…” responds the frail old lady, her voice growing quieter.

As one star extinguishes, another ignites. The Monarch of Myriad Machines silently watches over all, silently extrapolating day after day, without ever uttering a word.