A Transmigrated Toddler's Survival Equation
Chapter 3

The First Notes of Star Paths and Gears

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As the September breeze slipped into her collar, carrying the scent of roasted chestnuts, Hailey crouched beneath a swing set in a Muggle park, carefully rounding the corners of her homemade magic detector with a nail file. The multimeter in her canvas teddy-bear backpack suddenly buzzed, its needle swinging wildly between the "Muggle voltage" and "magical fluctuation" markings. Startled, she knocked her knee against the rusty frame—she had only improved the circuit three days ago with vibranium shavings taken from her father's study. Had it overloaded again?

"Miss!" Nini's shrill voice burst from the bushes. Her wrinkled face peered out along the ground, making her look just like a groundhog sneaking a peek at a cake. "Your mother is having afternoon tea with Mrs. Ronil in the sitting room. They were just talking about 'strange electric currents in the Muggle neighborhood'!"

Hailey hurriedly stuffed the detector into the bear's belly, and a half-melted piece of chocolate fell out of its plush ear—it was for Harry. Ever since she had caught him behind the rockery last time, laying out arithmetic problems with breadcrumbs, she had secretly tucked a book called Muggle Elementary School Mathematics into their secret base. Now she suddenly worried that the Arabic numerals on the cover might give something away. "Stay calm, Nini."

She tugged at her crooked bow and deliberately spoke in a sugary child's voice. "I'm just fixing Teddy's watch~" As she spoke, she shook the backpack, and the gears inside rattled softly.

The house-elf's walnut-like face puckered into a prune. "But last week you took the master's gold pocket watch apart and turned it into a clockwork bird!" As they passed through the ivy-covered wrought-iron fence, Hailey saw her mother standing by the floor-to-ceiling window in the distance, her pale purple wizard's robes dusted with star sand at the cuffs—the sign of a Silencing Charm.

She immediately switched to skipping along. The detector in her backpack suddenly gave a soft beep, and the fluorescent ink on its dial reflected pulsing magical ripples that looked just like the moon-phase pendant on her mother's necklace.

"Hailey, darling, come help Mommy choose the tea set." Mrs. Leicester's voice was like melted toffee. Her fingertip circled a bone-china teapot, and the wisteria pattern on its body gently unfurled as magic flowed through it. "Little Eileen Ronil said you're always staring at ants in the park?"

Hailey crouched in front of the china cabinet, pretending to compare the patterns on the teacups. Out of the corner of her eye, however, she spotted the corner of a piece of parchment poking out of her mother's cuff—it was her quantum mechanics notes, which she had hidden under her mattress! Her nails dug into her palm without her noticing, but she put an innocent smile on her face. "Because when ants move house, their antennae trace patterns that look like magic circles!

"Just like the spirals you draw with a Preservation Charm, Mommy~" Mrs. Leicester's hand paused, and the teapot lid clicked shut. "Our Hailey's eyes always see such special things." Mother and daughter's gazes met in the gilded mirror. Amid the shifting silver-blue light in her mother's eyes, Hailey caught a fleeting trace of worry-just like the complicated expression that flashed across her father's lenses when he was doing research in the attic late at night.

One day, a faint wisp of steam rose from the pipe opening in the secret base. Harry was curled up in a corner, the book she had left open on his knees and bits of grass stuck to the tip of his nose. "Hailey, look at this!" His eyes shone as he held up a "wand" made from a rubber band and a paper clip. "I used the 'principle of leverage' you told me about, and I really made a feather float!"

The feather swayed above Hailey's homemade magic circle, and Hailey suddenly noticed lightning-shaped alterations drawn along the edge of the diagram. She hurriedly wiped them away with her cuff, only to touch the faint red marks on Harry's wrist-clearly the work of the Dursley family.

"Next time, try using a plane-tree leaf as a medium." She took out a piece of honey cake, deliberately keeping her tone light. "Muggles say you can tell autumn has come from a single fallen leaf. Maybe there's natural magic hidden in the leaves~"

Harry spoke indistinctly through a mouthful of cake. "You know so much... even more than Dudley's encyclopedia." A car horn sounded outside the window. Hailey looked up sharply and saw the corner of a silver-green garment flash through the shadows across the street—that was the color of the scarves Death Eaters often wore! She gripped Harry's wrist, her nails nearly digging into his skin. "Don't come here tomorrow." "Why?" The starlight in the boy's eyes suddenly dimmed.

Hailey turned her face away and stared at the rust spots on the pipe. "Because... because the ants hibernate in autumn! When winter's over, I'll teach you how to measure magic with snowballs, all right?" She heard her own voice, taut as an overstretched string, and after a long silence, Harry nodded gently.

When she returned to her room, Nini was fretting over the broken magic detector. "Miss, your device swallowed three more batteries..." Hailey said nothing. She pulled a torn page from the book of Prophecy out from under her pillow and ran her fingertip over the word "sacrifice," suddenly remembering the notes in her mother's cuff that day. She grabbed a quill and wrote in the blank space: Perhaps the opposite of darkness is not light, but order amid chaos.

When the midnight bells rang, she leaned on the windowsill and watched a meteor shower streak across the sky above the wizarding neighborhood. The emerald magic in her palm suddenly grew docile, drawing a pattern of interwoven gears and star paths on the glass. In the distance, a faint light came on in her father's study. From behind the door that stayed shut all year round came a curious harmony of calculator keys clicking and spells being chanted.

Hailey felt the spare parts in her teddy-bear backpack and suddenly chuckled. Prophecy or fate, when she secured a magic circle with paper clips and measured the magic of the stars with a multimeter, those seemingly out-of-control lines had long since woven themselves into a protective net belonging to her alone, in the space between science and magic. "Nini," she said, turning to the house-elf, who was mending the teddy bear,

"Help me find some copper wire tomorrow. I want to try using Lenz's law to lower the voltage of a Levitation Charm." Outside the window, a flock of owls swept past, carrying moonlight on their backs. One silver-spotted owl was flying off in another direction, an envelope bearing a Hogwarts wax seal clutched in its talons-

Of course, Hailey did not yet know what kind of storm of magic and science this letter would stir up three years later. She merely held the detector up to the moonlight and watched its needle tremble gently at the "unknown" mark, much like the rhythm of a heartbeat. After all, in this world where magic was the unknown variable X, she had long been ready to use a cross-dimensional formula to solve for her own answer.

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