A Transmigrated Toddler's Survival Equation
Chapter 24

A Vibranium Nib Punctures Pure-blood Superiority

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I. Headache and vigilance

Ever since Quirrell had probed Hailey with that barely perceptible Memory Charm in the corridor, her temples had felt as though they were bound in fine spider silk for three days. The emerald-colored potion Madam Pomfrey had given her tasted strongly of ginger and made her throat feel as though it were being roasted over a low flame, but the headache always returned when she woke from her dreams at midnight. Only after the porcelain jar her mother sent by owl was placed on her bedside table and she took some of its contents did she improve. The handwriting in the parchment letter was mixed with powdered stardust: "Brew Rosier family vanilla pods with Egyptian potion stardust and three drops of agave nectar. Take five drops before bed to clear magic clogged like clumps of icing."

Wrapped in a cashmere blanket, Hailey rubbed the silver bracelet around her wrist. The Leicester family crest on its metal surface glowed a faint blue. The Vibranium bracelet rarely vibrated without cause. Her father had drawn a diagram in his letter: the magic sensor built into its gear mechanism would trigger a resonance only when it detected "dark magic fluctuations exceeding 200 hertz," like a fuse in the Muggle world that melted only when the current overloaded. As her fingertips traced the links, she recalled how, on the day Quirrell had tested her, the bracelet had given just one slight tremor when the Memory Charm touched its starburst iron lining, like the second hand of a pocket watch brushing through dust.

"Hailey! If you don't get up now, Ravenclaw will have covered the kitchen's turmeric roast chicken in black pepper!" Eileen's shout came through the door, accompanied by the dull thud of a schoolbag strap hitting the oak. "The Prefect said this morning that when he went to return a book to the library, he saw Slytherin cast a Sticky Phlegm Charm on the table we usually sit at!"

II. Undercurrents in the library

The library smelled of old parchment and beeswax in the early morning. Stained glass filtered the late-autumn sunlight into patches of color that fell across Hailey's open Illustrated Principles of Muggle Mechanics. She was sketching gear patterns in her notebook with a vibranium nib when she suddenly heard a snicker from across the oak table. Amelia Bulstrode was tapping Hailey's pencil case with fingernails set with snake-eye gems, and the Muggle protractor protruding from the opening gleamed silver in the sunlight.

"The Leicester family's little tricks have improved again?" Amelia raised her chin, and the cuff of her velvet wizard's robe, fashionable in 1990, slipped down to reveal a snake-shaped family crest. "Now you even have to cast Lumos on a Muggle 'angle-measuring device'? My father says that thing is worth only two Knuts at a secondhand stall in Diagon Alley."

The Slytherin boy beside her waved a sheet of draft paper Hailey had left behind. On it, she had used a Muggle function graph to derive a magic resonance curve. "'The coefficient of friction of a vibranium nib is positively correlated with its rate of magic conductivity'? Hailey Leicester, have you been reading the Muggle Introduction to Physics as a spellbook?" He then crumpled the paper into a ball and threw it at the neighboring bookshelf.

Hailey put down her vibranium pen and noticed the ring on Amelia's finger. It was a "bloodline certification ring," popular among Pure-blood families in 1990, engraved with Runes forbidding marriage to Muggles. She was just about to speak when the silver bracelet on her wrist gave a very slight tremor. It was the "low-risk warning" her father had set, like shortwave static on a Muggle radio in 1990.

III. Conflict and cross-dimensional rebuttal

"Miss Bulstrode," Hailey said, her voice like lukewarm ginger tea, as her gaze passed over a 1990 Quidditch yearbook on the shelf, "wasn't the 'optimal wand-waving angle' your father mentioned in his 'wand dynamics' column serialized in the Daily Prophet measured with a Muggle protractor?"

Amelia's cheeks flushed. Although Pure-blood circles in 1990 rejected Muggle objects, they relied on their precision in private. "Nonsense!" She grabbed Hailey's protractor and threw it out the window. Its plastic edge scraped the stained glass and struck the stone wall, leaving fine cracks. "Magical angles are sensed through wand intuition and experience. Who needs a Muggle's piece of junk plastic?"

The bracelet suddenly vibrated twice in quick succession, its metal gears clicking inside her sleeve. It was the "medium-risk warning," like a modem suddenly stalling during a dial-up connection in 1990. Hailey opened her notebook with its vibranium inserts, her fingertip tracing a star chart annotated by Dumbledore. "Last week, my father used Muggle graph paper to plot magic fluctuations and found that your mother's 'Pure-blood magic travels in straight lines' theory had an error rate of 17 percent. Take this case: using a Muggle function to calculate the pressure of a vibranium nib can improve the precision of spell lines by 47 percent."

Eileen suddenly raised the vibranium ruler in her hand. Its body was engraved with a "spice scale" made according to the Rosier family's secret method in 1990. "My father uses this ruler to calibrate the balance of his Potions scale, adjusting the weights according to the Muggle 'principle of leverage.' Now its weighing precision is 0.5 grams better than Ollivander's wand scales! Isn't Slytherin supposed to value 'precision' above all?"

At that moment, Cedric Diggory, the Hufflepuff Prefect, turned around from the other side of the bookshelf, where he had been consulting Herbology books. He had been watching from a corner of the library for some time, and the badger-shaped Hufflepuff badge on his chest gleamed copper in the sunlight.

"Miss Bulstrode," Cedric said, his voice gentle but firm as he approached with a stack of copies of Illustrated Guide to Magical Plants, "under the Student Code of Conduct issued by the Ministry of Magic in 1990, 'deliberately damaging another person's study supplies' is grounds for detention." He set the books gently on the table, his gaze passing over the function graph in Hailey's notebook. "And Miss Leicester's reasoning is very similar to my grandfather's approach when he was studying 'flying broom aerodynamics.'"

Amelia frowned at Cedric. He wore no magical accessories; only the Quidditch captain's badge pinned to his collar indicated his identity. "Diggory, this is Slytherin business," she said with a cold snort. "Wasn't your grandfather warned by his family's council of elders for 'excessively studying Muggle airflow'?"

"My grandfather used a Muggle wind tunnel to test broom fins, helping our British team win the Quidditch World Cup in 1880," Cedric said, crouching to pick up Hailey's protractor and brushing his fingertips over its scratches. "The Ministry of Magic awarded him the Cross-Dimensional Innovation Award for it. Miss Leicester's research follows essentially the same logic."

V. Resonance and lingering echoes

Cedric's intervention immediately eased the tension. He took a graphite magic eraser incorporating Muggle rubber from his pocket and offered it to Hailey. "Magic erasers are very good at cleaning up ink marks. Want to try it?" The gesture was as natural as handing over a textbook, as though he were merely an older student passing by and lending a hand, rather than a character who had suddenly barged in.

As Hailey accepted the eraser, she noticed the watch face peeking out from Cedric's cuff. Its hands pointed to ten in the morning, synchronized with the magical clock at Hogwarts. The detail suggested that he had long been accustomed to incorporating Muggle tools, rather than suddenly possessing an accessory combining Muggle and magical elements. "Thank you," she said softly. "I read about your grandfather's research in A Century of Quidditch History."

"He always said a Hufflepuff's hoe could till the soil and pry open the door to the unknown." When Cedric smiled, the wrinkles at the corners of his eyes resembled a badger's claw marks. "For example, using Muggle charts to record magic data is more reliable than relying solely on memory." He pointed to the coordinate graph in Hailey's notebook. "The way you've labeled the x-axis 'magic intensity' is the same method I use to record Quidditch training data."

Just then, an angry roar came from a distance. It was the librarian, Madam Pince, who had just returned from the gatehouse. "Bulstrode! What are you doing?!" Amelia turned as pale as paper. Looking at Hailey's calm gaze and Eileen's raised vibranium ruler, she suddenly realized she had exposed her family's hypocrisy in front of everyone. She screamed and stamped her foot, waving her wand wildly and sweeping the burning parchment on the floor into a black whirlwind. Fragments struck the surrounding students in the face and head.

"Let's go!" Amelia grabbed her companion's sleeve and ran, her snake-shaped crest brushing the edge of a bookshelf in her panic and pulling down a string of dusty cobwebs. Her high heel landed on a copy of On the Boundary Between Magic and Muggles that had rolled onto the floor, and she stumbled into the stained glass with a dull thud. The boy with her tripped over the collapsing bookshelf, scattering the parchment in his arms along the way.

As they left, Amelia's wand accidentally scraped the wall, triggering a backlash from the library's Silencing Charm. The previously quiet reading room suddenly erupted in a piercing buzz, like an old-fashioned telephone ringing in the Muggle world of 1990. She screamed and covered her ears, her pearl hairnet coming loose and several strands of blond hair sticking to her sweaty cheeks. She looked as bedraggled as a toad that had just crawled out of a cauldron. Even after they disappeared around the corner of the stairs, the thuds of Madam Pince's broom handle striking the floor still echoed through the corridor.

That evening, the notice board displayed Hailey's research paper alongside the punishment for Amelia and the others. Beside the magic fluctuation curve drawn on Muggle graph paper was written: "Certified by the Ministry of Magic in 1989: Muggle mathematical tools can improve spell precision by 23 percent." The next morning, Hailey found a new line in neat handwriting in the corner of the report: "P.S. Verified by Cedric Diggory: this model is applicable to Quidditch broom angle calculations."

Hailey touched the bracelet on her wrist. It had remained quiet throughout Cedric's approach because he had shown no aggressive magical response, only pure curiosity about cross-dimensional wisdom. It reminded her of something her father had said: "A true connection has never been about sharing magical tools. It is like the soil of your Hufflepuff house, welcoming the growth of different seeds."

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