In the circular hall of the String Light Research Institute's theoretical physics center, the air seemed to have solidified into a kind of transparent crystal; only the faint sound of chalk sliding across blackboards echoed in the silence. Yue'er stood alone before a blackboard spanning the entire wall, her deep‑blue lab coat speckled with multicolored chalk dust like pigments of an abstract painting. Her eyes were bloodshot, yet her gaze remained hawk‑sharp, fixed tightly on those winding mathematical symbols. Over four hundred seventy‑three days and nights, she had virtually imprisoned herself within this cage of thought, working over twenty hours each day, all to conquer the most legendary problem straddling theoretical physics and computer science—definitively resolving, within the framework of quantum gravity, the relationship between P and NP.
At this moment, the final step of the proof was about to be completed. Yet during this long, lonely exploration, she had accidentally touched a truth far more profound, and far more dangerous, than the P versus NP problem itself. The quantum‑computing array on the console was verifying each deduction step at tens of quadrillions of operations per second, and every result pointed toward a stunning conclusion that might forever change humanity's understanding of the universe's nature.
The proof's core architecture was built on establishing a rigorous mathematical link between the AdS/CFT correspondence and the complexity‑action conjecture. The AdS/CFT correspondence—short for anti‑de Sitter space/conformal field theory duality—is one of the most profound discoveries in string theory, indicating that physics in an anti‑de Sitter spacetime containing gravity can be completely equivalent to a conformal field theory without gravity on its boundary. The complexity‑action conjecture proposes that the wormhole volume inside a black hole is proportional to the quantum‑computational complexity of the quantum state on the boundary.
By introducing novel differential‑geometry tools and topological quantum field‑theory methods, Yue'er had for the first time rigorously demonstrated the deep intrinsic connection between these two seemingly disparate concepts. In the center of the blackboard, she wrote a key equation with white chalk; the sound of chalk against board cut distinctly through the silent hall:
$$
\mathcal{C} = \frac{\mathcal{A}}{\pi\hbar}
$$
Here $\mathcal{C}$ represents quantum complexity, $\mathcal{A}$ is the black‑hole action. This deceptively simple formula actually conceals the universe's deepest mysteries—it inextricably links quantum information with spacetime geometry, hinting that spacetime itself might be a manifestation of quantum information.
As the proof progressed, an even more astonishing discovery gradually surfaced. While analyzing the black‑hole firewall paradox, Yue'er discovered an exact mathematical equivalence between the firewall problem and quantum error‑correcting codes. The black‑hole firewall paradox posits that at the black‑hole horizon there may exist a high‑energy "firewall" that utterly destroys any object falling in; quantum error correction is the crucial technique in quantum computing to protect information from environmental interference and decoherence.
Through complex group‑theory analysis and topological‑invariant calculations, Yue'er proved that these two seemingly completely different concepts actually describe different aspects of the same mathematical structure. On the right side of the blackboard, she derived a pivotal isomorphism with red chalk:
$$
\mathcal{H}_{firewall} \cong \mathcal{H}_{QEC}
$$
This isomorphism shows that the physical processes at the black‑hole horizon are completely equivalent to the mathematical structure of quantum error‑correcting codes. This means black holes might be the universe's most perfect quantum computers, and the firewall phenomenon is an expression of their error‑correction mechanism.
The hardest part of the proof was linking these deep physical concepts to the P versus NP problem. By introducing the concept of a quantum Turing machine and using AdS/CFT duality to map the computational process onto the evolution of spacetime geometry, Yue'er finally proved that, within the quantum‑gravity framework, P does indeed not equal NP.
The proof's core idea was revolutionary: if P equaled NP, then the growth of quantum complexity would be fundamentally constrained, irreconcilably contradicting the complexity‑action conjecture. Specifically, she proved that any algorithm capable of quickly solving NP problems would violate the basic laws of black‑hole thermodynamics and the consistency requirements of quantum gravity.
This proof not only resolved that famous problem left hanging for decades in computer science; more importantly, it revealed the profound intrinsic connection between computational complexity and the fundamental structure of spacetime, providing a wholly new perspective for understanding the universe's nature.
When the final logical step of the proof was completed, the quantum‑computing array output the ultimate verification result: proof correct, confidence reaching 99.999%. This meant Yue'er had not only resolved the P versus NP problem but, more significantly, she had discovered a unified mathematical framework in which quantum gravity, quantum information, and computational‑complexity theory were perfectly integrated.
This framework strongly suggests that our universe is essentially a gigantic quantum computer; physical laws are its operating program, and elementary particles are the basic information units in its computational process.
Yet, as research deepened, Yue'er began to realize the extreme danger of this discovery. During the proof process, she unexpectedly found a "backdoor" that could access the universe's underlying code. Through specific quantum‑gravity configurations and precise spacetime‑metric manipulations, one could theoretically rewrite physical laws, alter fundamental constants, even create or destroy regions of spacetime.
The significance of this discovery went far beyond mere academic breakthrough—it meant any civilization sufficiently mastering this knowledge would possess near‑godlike power, capable of reshaping the universe's basic rules.
Even more disquieting: while analyzing the mathematical structure of this "cosmic backdoor," Yue'er discovered some anomalous patterns that strongly hinted this backdoor might not be naturally formed. Certain exquisite symmetries and anomalously optimized parameters in the mathematical structure suggested our universe might be an intricately designed complex system, and some unknown "entity" might already possess this ultimate code.
She wrote in her research notes: "We always thought we were exploring natural laws, but we might just be reading the code annotations left by some super‑intelligence. Every physical constant, each fundamental law, could be a deliberate design choice."
On the seventh day after completing the proof, Yue'er made a decision that shocked the entire scientific community. She gathered the String Light Research Institute's core team—including Mozi, Xiuxiu, and over twenty other top scientists—for a highly confidential emergency meeting.
At the meeting, she presented the complete proof process and all key discoveries, explaining in detail the mathematical principles and physical meanings therein. Then, before everyone's eyes, she fed all research manuscripts, data records, derivation notes—even electronic backups—into a specially designed quantum incinerator.
As blue flames consumed those documents embodying years of her effort, she said softly, her voice tinged with complex emotions: "The weight of truth can crush civilizations." Those words echoed in the silent conference room, each syllable heavy as lead.
This decision immediately sparked intense discussion within the team. Mozi supported Yue'er's decision from the perspective of civilizational security and long‑term development, arguing that knowledge capable of rewriting physical laws was indeed too dangerous; once leaked, it might cause irreversible consequences. Xiuxiu raised questions from the standpoint of scientific progress and intellectual freedom, contending that humanity had the right to pursue any knowledge—the key lay in how to use that knowledge responsibly.
Other scientists split into clearly defined camps: one faction believed these dangerous findings should be completely destroyed; another argued they should be carefully preserved and studied, but under strict security mechanisms.
In subsequent deep discussions, Yue'er detailed her concerns and thought process: "This discovery not only gives us the ability to alter physical laws; more importantly, it might be a cosmic‑level test. If a civilization acquires such power before its morality and wisdom have matured, it could easily self‑destruct through arrogance or ignorance. Moreover, if other civilizations that already possess this code exist in the universe, prematurely exposing our discovery might bring unpredictable existential risks."
To assess the actual danger of this discovery, the team conducted a series of extremely cautious verification experiments. In a multiply‑shielded quantum‑isolation lab, they attempted a tiny‑scale physical‑constant‑modification experiment. The results confirmed Yue'er's theory—they could indeed, through specific quantum‑gravity operations, change the value of the fine‑structure constant, albeit with the variation strictly limited to one part in ten million.
Though small in scale, this experiment was sufficient to prove the theory's correctness while clearly demonstrating its enormous potential risk. Any minute change in a constant could trigger chain reactions, affecting atomic‑structure stability, even altering the universe's fundamental appearance.
At an emergency meeting of the ethics committee, experts from various fields conducted a comprehensive assessment of this discovery. The risk‑assessment report noted that if misused or accidentally leaked, such technology could lead to catastrophic consequences: from inadvertently altering key physical constants causing local cosmic instability, to deliberately restructuring spacetime inducing regional annihilation, possibly even triggering some cosmic‑level security mechanism leading to the wholesale extinction of human civilization.
Even more worrisome, such knowledge might be impossible to completely lock away—once any organization or nation mastered it, a dangerous arms race could ensue, ultimately risking the planet's destruction.
Based on these grave considerations, the String Light Research Institute made a historic decision: to label this discovery "forbidden knowledge." All related research materials were permanently sealed in quantum‑encrypted isolation databases; participating scientists signed lifelong confidentiality agreements and underwent rigorous psychological monitoring and background checks.
Concurrently, the institute established a dedicated oversight committee, chaired by Mozi, responsible for ensuring this knowledge would not be rediscovered or misused. Yue'er personally designed a multi‑layer security system, including neuro‑linguistic‑programming‑based psychological monitoring, research‑direction review mechanisms, and emergency response protocols.
In the months following the decision, Yue'er continued to ponder the discovery's deeper significance. She wrote in her private notes: "The boundaries of knowledge are determined not only by our capacity to understand but also by our capacity to bear responsibility. Some truths are like black‑hole event horizons—we can know they exist, we can study their properties, but crossing them may bring irreparable consequences."
She began systematically researching other possible "forbidden knowledges," attempting to establish a complete knowledge‑ethics framework to guide human civilization's future development.
This incident also spurred the global scientific community to rethink the ethical boundaries of scientific research. UNESCO convened a special session to discuss establishing an international forbidden‑knowledge management framework. National academies of sciences worldwide began reviewing their research‑review mechanisms to ensure similar discoveries could be handled responsibly.
A new consensus on scientific ethics was forming: the pursuit of knowledge must walk hand‑in‑hand with responsibility; the discovery of certain truths must be matched by corresponding wisdom to be safely held.
On a personal level, this experience gave Yue'er a wholly new understanding of knowledge and wisdom. She realized that true wisdom lies not merely in being able to discover truth, but also in knowing which truths should be handled with care, when to actively limit one's own curiosity. In this sense, burning the manuscripts was not a betrayal of science but a sign of science's maturity—recognizing knowledge's power and assuming the responsibility that comes with it.
She began shifting her research direction toward knowledge ethics and safe‑innovation methodology, striving to advance scientific progress while ensuring human‑civilizational security.
When the dust settled, Yue'er stood at the institute's highest observatory platform, gazing up at the vast starry sky. Those twinkling stars now held new meaning in her eyes—they might be beacons of civilizations cautiously advancing through the cosmos, each civilization seeking a delicate balance between its wisdom and responsibility, each facing similar choices and challenges.
"The weight of truth indeed can crush civilizations," she murmured to herself as the night breeze brushed her hair, "but perhaps it is precisely this weight that allows civilizations to truly grow, to learn humility, to understand boundaries."
In this silent night, human civilization quietly crossed an invisible threshold—from a youth merely pursuing knowledge into an adulthood that knows how to choose and bear responsibility, beginning to confront the universe's profound mysteries with a more mature, more accountable attitude.