Chapter 39: Blueprints and Blind Spots

5:50 a.m. The alarm did not ring. His body clock woke him first.

Outside the window, the sky was gray-white. The rain had stopped. The wind was hard. He sat up. The gauze on the sole of his foot had dried completely. The edges had gone stiff. The split no longer seeped. The pain sat deep in his ankle like a piece of cold iron. He put on his shoes slowly, shifting his weight onto the outer edge of his foot to avoid the sore spot. He pushed open the door. A thin layer of frost glazed the terrazzo floor in the corridor. Wind poured in through the north window, carrying the smell of old books and dust. He kept close to the wall and walked lightly, mapping out the route in his head.

The library was on the west side of the first floor. It opened at seven. He arrived forty minutes early and waited. Light shone through the crack under the door. The librarian, Old Zhao, was inside lighting the stove. The smell of coal smoke stung the nose. Lin Chen stood on the steps outside and waited, checking his watch. 6:35. Old Zhao pushed the door open, wrapped in a padded coat. He saw him and paused.

“So early?”

Lin Chen nodded. “Teacher. I’d like to borrow a book. Senior High School Physics Experiment Manual. Provincial edition.”

Old Zhao rubbed his hands. “That book’s old. It’s in storage. Find it yourself. Don’t damage it.”

Lin Chen thanked him and went in. The heating was weak; his breath turned white. He knew the place well and headed straight for the science supplementary section. Third row of shelves. Bottom tier. Thick with dust. He crouched down, fingers brushing across the spines. Senior High School Physics Experiment Guide. 1995 edition. The cover corners were curled. He pulled it out, dusted it off, and opened it.

Table of contents. Mechanics. Thermodynamics. Electricity. Optics.

He turned to the electrical experiments: measuring resistance by the volt-ampere method, measuring electromotive force and internal resistance of a power source, circuit diagrams, procedures, error analysis, data tables.

He read very slowly. His pen tip copied the diagrams onto scrap paper—not transcribing them, but breaking them apart.

The pages were brittle and rustled dryly as he turned them. He fixed his eyes on the section titled “Systematic Error and Random Error”: the conditions for choosing between the voltage-divider setup and the current-limiting setup with a sliding rheostat; the effect of meter internal resistance on measurement; processing data with the successive-difference method. These things had been mentioned in the textbook. But Old Li had never gone into detail. County No. 1 High School did not keep its lab open. Students memorized procedures and never touched real instruments. The winter camp would test design. It would test data processing. It would test error assessment.

A blind spot.

He closed the book, fingers tightening. A fine crack had opened in the spine. He taped it neatly, then took it to the circulation desk. Old Zhao stamped the due date: seven days.

He carried the book back to the classroom. 6:50. The room was empty except for a boy in the front row reciting English words. Lin Chen sat down, spread open the manual, and compared it against his notebook of mistakes. On a new page, he wrote:

Day 19. 06:50. Experimental module breakdown.

His pen paused. Then he made a list.

1. Principles of instrument selection (range matching, effect of internal resistance).
2. Circuit design (voltage-divider/current-limiting, internal/external connection).
3. Data processing (graphing method, successive-difference method, significant figures).
4. Error analysis (systematic/random, ways to reduce them).

No greed. Understand electricity first. It carried the greatest weight and was the most abstract.

At 7:20, morning reading period began. He lowered his voice and shadowed the tape recording. The woman’s voice was fast, the words running together. He caught the main structure and ignored the details. Once. Twice. His tongue tangled. He did not stop. Muscle memory. During the break, he did not go into the corridor. He stayed in his seat, writing out experimental procedures from memory. The volt-ampere method. Circuit diagram. He drew it three times, marking polarity, range, and the initial position of the rheostat slider.

In physics class, Old Li lectured on momentum experiments—air tracks, ticker timers. Lin Chen did not raise his head. His pen kept moving, matching Old Li’s phrases—“balance the friction,” “process the paper tape”—to the error-analysis section in the manual. Uneven spacing between the tape dots: random error. Track not level: systematic error. He wrote them down and marked them in red.

At noon it was raining again. Clouds hung low over the cafeteria. Lin Chen waited until the end, avoiding the crowd, then sat down on a long bench and opened his wax-paper parcel. The rice was hard. The soup was cold. He broke up the rice and forced it down with the soup. At least it gave his stomach something to hold. The crack in his sole rubbed inside the shoe; every step brought a dull pain. He adjusted his balance, leaning to the outside edge. The sole of the shoe was peeling up at one side. He pressed it flat with his fingernail. It would not stay. He let it be. When he finished eating, he cleaned up without leaving a trace.

Back in the classroom, half the room emptied out for the lunch break. Lin Chen did not sleep. He spread open the experiment manual and turned to past provincial competition problems.

Question one: design a circuit to measure an unknown resistor. Given equipment: power source, switch, wires, fixed resistor, sliding rheostat, ammeter, voltmeter. Required error below five percent.

He sketched a draft. Current-limiting setup, internal connection. Calculated the current. Exceeded the range. Switched to voltage-divider, external connection. Calculated the voltage. Matched. Set up equations. Solved for the error range.

His pen paused.

He was stuck.

There were no real instruments. No actual readings. Only paper deductions.

He closed his eyes and imagined the devices: the dials, the needles swinging, the graduations on the knobs. He imagined current passing through wires, resistance heating up, the rheostat slider moving, voltage changing. Then he opened his eyes and kept writing. Procedure. Data table. Error analysis. Three pages of scratch paper.

When he finished, he checked the answers. His line of thought was right, but he had kept the wrong number of significant figures. Points deducted.

He wrote down:

Rule for significant figures. Final digit is estimated.

At two in the afternoon, group calisthenics were canceled. He stayed in the classroom and moved on to question two: measuring the electromotive force and internal resistance of a power source. U-I graphing method. He drew the axes, labeled the units, marked the scale, plotted the points, drew the line, found the slope, found the intercept. His pen traced extremely fine lines across the paper, pressure even, no tremor.

He understood now: the experimental module was not testing memory. It was testing the chain of logic. From equipment constraints to circuit construction. From data collection to error correction. Every step had to have grounds.

He turned to the appendix and found the table of common instrument precision. Ammeter, 0.6A range: smallest division 0.02A, estimate to 0.01A. Voltmeter, 3V range: smallest division 0.1V, estimate to 0.01V. He copied them into his notebook of mistakes and marked them with a star.

These numbers were the floor of his score on the page. One digit wrong, and the whole question would lose points.

At evening study, 6:30, the classroom was full. The fluorescent tubes hummed overhead. The air smelled of old books and sweat. Lin Chen finished the day’s homework, closed his exercise book, and checked the time. 9:10 p.m. Twenty minutes until lights-out. He packed his schoolbag, counting everything one by one: cardboard sheet, pencil, eraser, ruler, cassette tape. Into the canvas bag. Zip closed. He was out of candles. Tonight he would use the corridor emergency light.

At 9:30, the lights-out bell rang. The corridor went dark at once. Footsteps turned chaotic. Washing noises. Talking. Lin Chen waited, counted to one hundred. The sounds gradually thinned out. He pushed open the door and walked close to the wall. At the end of the corridor, the emergency lamp glowed a dim yellow, its halo blurred at the edges. He crouched down with his back against the wall, out of the draft, and opened his English vocabulary book.

Timed. Ten minutes. Only twenty words. No greed. Aim for mastery.

His pen crossed the page as he copied them: phonetic symbols, part of speech, example sentence. Not one omitted. The light was poor. The handwriting was small. He leaned in close. His eyes ached. He blinked and kept going. He checked his watch. Nine minutes. One minute left. Review. Spelling. Correct. He closed the book. His fingers were stiff with cold, the joints rough and reluctant. He hugged the canvas bag to his chest and stood up. His knees gave a faint crack. The pain in the sole of his foot had settled into a blunt ache, like a needle forever pressed into the end of a nerve. Step by step, he made his way back to the fourth floor and pushed open the door. The dormitory was quiet. Only the even sound of breathing remained.

He sat down by his bed, took off his shoe, and unwrapped the gauze. The edges of the crack had turned white. Tissue fluid had seeped out. No pus. He picked up the red antiseptic and a cotton swab, dipped it, and applied it. Sharp pain. He held his breath and spread it evenly, then wrapped the foot again. His movements were slow, but perfectly steady.

He lay down and closed his eyes. In his head he laid out the timetable.

Tomorrow. 6:30, morning reading, speak aloud. 7:00, breakfast. 8:00, class. 12:00, lunch break. 6:30 p.m., evening study. 9:30 p.m., back to dorm. Wash up. Sleep.

One step, one imprint.

He felt for the ledger, opened it, and moved the pencil across the page.

Day 19. 22:15. Borrowed experiment manual. Electrical module breakdown completed. Progress: practiced two sets of physics experiment questions. Mistakes in significant figures and graph-slope calculations. Fifteen minutes of English listening shadowing. Vocabulary section C advanced to 30%. Time spent: full day. Status: met target. Gap: funds 1.56. Meal tickets 0.32. No access to real experiment equipment. Winter camp written exam on Tuesday. New variable: experimental module 30%. Hit a bottleneck in paper-only simulation. Lacking intuition for instrument readings. Significant-figure rules need reinforcement. Countermeasure: tomorrow morning during break, ask Old Li to lend discarded lab meters/resistors. Use multimeter to measure internal resistance. Build physical intuition. Change English listening to segmented intensive listening + shadowing. Ignore funding gap for now. Protect the written exam first.

His pen paused. He closed the ledger, fingers tightening. The edges of the pages curled. He shoved it to the bottom of the bag and pressed it flat.

Footsteps came from the corridor. Very light. Even rhythm. The teacher on night rounds. A flashlight beam swept across the crack of the door and stopped.

“Sleep early. Final exams are twenty-six days away. Don’t stay up too late.”

“Got it,” the boy in the lower bunk answered thickly.

Lin Chen said nothing. He rested his hands on his knees and moved them slowly. The pain in his sole had gone numb. His body felt hollowed out. But he still did not sleep. Outside, the clouds had scattered. The moonlight was cold. Puddles reflected it. The wind had stopped.

He slipped a hand into the inner pocket against his chest and touched the notice stamped with a red seal. The paper was warm, the edges curled. He unfolded it and read it once. Reporting. Time had passed; the rules remained. One step, one imprint. No disorder. He folded it and put it away, fingers tightening. The edge of the cloth bag bit into his palm. He closed his eyes. His breathing steadied. In his mind he laid out the timetable again.

Tomorrow. 6:30, morning reading, speak aloud. 7:00, breakfast. 8:00, class. 12:00, lunch break. 6:30 p.m., evening study. 9:30 p.m., back to dorm. Wash up. Sleep.

One step, one imprint.

The wind outside slipped through the cracks with a low whine. Far away came the faint sound of the campus broadcast from County No. 1 High School—sound check first, a hiss of electrical static, and then the voice of Old Li, head of the physics teaching group.

“Notice. According to a supplementary statement from the provincial physics society, the winter camp experimental module written exam permits rulers without storage functions, set squares, and ordinary calculators. In addition, no scratch paper will be provided in the examination room. Candidates must bring their own. All answers must be written directly in the designated areas of the test paper. Neatness of presentation will be included in the score. More than three corrections on a question, and that question will be graded zero.”

The voice spread through the night wind, cold and metallic.

Lin Chen opened his eyes. His gaze fell on the ledger by the head of the bed. The paper shone faintly white. He reached out, found the pencil, and drew a very light line on a blank page.

Day 19. End. Progress: beginner’s entry into the experimental module. Listening started. Status: survived. New variable: no scratch paper. Ruler and set square allowed. Presentation counts toward score. Calculation steps must be compressed to the extreme. Corrections limited to three. Countermeasure: tomorrow at six, library. Practice calculations without scratch paper. Also prepare a backup ruler. Funding gap needs assessment.

His pen paused. He set it down. Closed his eyes.

Tomorrow. Six o’clock. Library.

He turned over to face the wall. His breathing gradually slowed. His fingers unconsciously rubbed the zipper pull of the canvas bag. The metal was icy and rough, like an unpolished stone. He closed his eyes. There were no formulas in his head now, no English words. Only two numbers.

Tuesday. Afternoon. Thirty percent.

Two lines, crossing in the dark. Not colliding. Not tangled. Each moving forward on its own. Night dew condensed. A thin layer of frost formed on the windowpane.