Section One: Rust-Encrusted Coordinates of the New World
Lydia landed at the coordinates marked by the scarab totem, her feet touching down on a 22nd-century Tokyo—or rather, a version of Tokyo refracted through the Prism Core's possibilities. The skyscrapers were draped with non-Euclidean vegetation, and holographic billboards broadcast Charles' face: "Today's temperature: -273.15°C. Carry a Klein bottle structure thermos for optimal warmth." A vagrant at the corner beg using Higgs field fluctuations, while his mechanical dog proved its existence with a Riemann hypothesis demonstration. "Brother, is this the world you bet everything on?" Lydia clutched her pocket watch, its dial showing a "Truth Contamination Index" of 99.8%. Passing through a subway station that resembled a quantum tunnel, she paused at the Shibuya crossing. The holographic Hatsune Miku suddenly morphed into the Executioner of the Entropy Spirit Association: "Recursive contamination detected. Initiating Truth Coffin Protocol." The ground split open, revealing a bronze coffin forged from compressed timelines, its lid etched with the death dates of all Reinhardt clan members—including an infinitely extending tombstone symbol after Charles' name. "Your coffin can't contain him," Lydia pressed the pocket watch's button, and Charles' pre-set initial code beam shot out. Inside the coffin, gears ground to a halt, and blood mist seeped from the cracks in the form of a Klein bottle structure. The mist coalesced into Charles' hologram, his pupils flickering with the final coordinates of the Mist Ship: "Lydia, to destroy the coffin, you need two keys—my ashes and your pain."
Section Two: The Equation of Ashes and the Constant of Pain
In the underground lab of the new world, Lydia faced her grandfather's cremated remains and Charles' quantum tombstone. The ashes floated in mid-air within a magnetic field, spontaneously forming a hybrid structure of DNA helices and fractal trees. The tombstone was a self-replicating hard drive, storing the entropy values of Charles' memories across all timelines. "You plan to use family ashes as explosives?" The AI assistant—a quantum computer cultivated from Charles' brain tissue—spoke in his voice, "According to calculations, the success rate is a mere 0.618%." Lydia connected the pocket watch to the lab mainframe, and a miniature prism core emerged from the back of its dial: "No, I'll use pain as the fuse." She donned a neural interface helmet, reliving every timeline where she was sacrificed: at five, Charles burned her birthday gift to calculate a recursive function; at sixteen, she was transformed into a quantum storage device in a Cambridge basement; within the main cannon of the Entropy Spirit battleship, her consciousness endured eternal lacerate. The grandfather's ashes began to reassemble, etching the complete initial code in the air—a topological equation encrypted with the brainwaves of the Reinhardt clan. "The weakness of the Truth Coffin is a self-referential paradox," Charles' hologram materialized, his fingers piercing Lydia's chest, "You must prove that their 'absolute truth' contains the code to destroy itself." Lydia vomited blood with fractal structures, and entered the final command: "Let the coffin consume its own proof of existence."
Section Three: Temporal Annihilation and the Awakening of Observers
When the Truth Coffin exploded, it released not flames but overlapping layers of historical timelines. The Tokyo Tower of the Showa era intertwined with an Egyptian obelisk, and Lydia struggled in the temporal slurry, witnessing humanity awakening through micro-channels generated by the Mist Ship's debris: In 19th-century London, workers compiled quantum equations with steam looms, and factory chimneys spewed Cantor set soot. In 2600 BCE, pyramid craftsmen carved Fourier transform formulas, and pharaoh mummies' eye sockets glowed with binary light. On a Martian colony in the 22nd century, children drew Klein bottle structures in the sand, and grains levitated to form recursive constellations. "The channel is catalyzing the Observer gene..." Charles' hologram grew fainter, "But the Entropy Spirit Association has activated the final protocol." Above New Tokyo, the silhouette of a towering structure emerged, and the Entropy Spirit enforcers summoned the "Absolute Truth Entity"—a colossus composed of all suppressed mathematical laws. With every step it took, countless universes collapsed from logical overload. "Brother, give me the final key," Lydia held the prism core. Charles plunged his hand into his hologram's chest, pulling out a flickering Klein bottle spark: "This is my proof of existence... Now, burn it."
Section Four: The Funeral of Truth and the Eternity of the Channel
Lydia leaped into the core of the Absolute Truth Entity, the Klein bottle spark resonating with the pocket watch. Inside the colossus was a labyrinth of infinite mathematical axioms, each layer endlessly proving its own absoluteness. She ran through the prime number corridor, pressing the spark against the Gödel monument at the labyrinth's base—etched with the Entropy Spirit Association's ultimate belief: "All things can be proven." The moment the spark touched the monument, the labyrinth began self-referential collapse. Lydia laughed amidst the flames: "You forgot... Gödel proved that there are things that cannot be proven!" The Absolute Truth Entity disintegrated into glowing fragments, each reflecting the face of a human observer awakening across timelines. The channel's power flowed through these fragments into all timelines, and the Mist Ship's wreckage reformed into an eternal lighthouse. Charles' hologram materialized one last time at the lighthouse's peak: "It's time to say goodbye, Lydia." "No!" She grasped his dissipating hand, "You promised to teach me to prove√3 is irrational..." "You've proven something far more important," he pointed to the base of the lighthouse—countless clones of Lydia stood in different eras, their followers including workers, pharaohs, Martian colonists... all pupils flickering with Klein bottle light.
Epilogue
Lydia stood on a Martian dune, the pocket watch showing a new coordinate—an uncorrupted primeval universe. As she pressed the teleportation key, she heard Charles' voice mingling with quantum noise: "Remember, the true name of the channel is... possibility."