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True Bearing

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7 December 1973

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Lucille had been at the South Pole long enough to learn that a person could become irritated by the phrase “technically speaking” even when every person using it was technically correct. Glenda’s question had arrived in the previous family packet in her compact, increasingly adult handwriting, squeezed beneath two paragraphs about school and a complaint that Phoebe had once again bought the wrong kind of peanut butter: If you’re standing on the South Pole and every way away from it is north, what does a compass do? Does it point north in every direction or does it just give up? Lucille had read it twice, smiled, and then made the mistake of asking a physicist over breakfast. The answer had been accurate and almost useless to an eleven-year-old. A second scientist had corrected the first scientist’s terminology without substantially disagreeing with him. The third had begun drawing field lines on the back of a supply form, said that “north” needed to be defined before the question could be answered, and left Lucille with two new diagrams and less confidence than she had possessed at the beginning.

By mid-afternoon she had occupied one end of a worktable with the evidence. A globe borrowed from somewhere in the station sat between a mug and a stack of papers. Beside it lay a hand-drawn circle representing the Earth, another circle representing the Earth but apparently sliced through the middle, a sketch of magnetic field lines, and a page on which Lucille had written GEOGRAPHIC NORTH and MAGNETIC NORTH in block capitals, underlined both, then added THEY ARE NOT THE SAME THING as though Glenda were likely to accuse her of hiding that fact. A pencil balanced against the bottom of the globe to mark the Pole. Lucille turned it, frowned, and wrote another sentence. She crossed it out immediately. “Every direction is north” was true in the particular sense Glenda meant, but it sounded like the sort of adult answer that collapsed the instant a child asked why a compass needle did not spin in a circle. “A compass still points north” was worse, because the word north had already become the problem.

Mags Avery stopped in the doorway with a folder under one arm and watched Lucille rotate the globe a quarter turn, stare at it as though it had personally complicated matters, and rotate it back. “What are you doing?” she asked. Lucille looked up, glanced at the diagrams, and said, “Losing an argument with my daughter in advance.” Mags came farther into the room. She recognised one of the field-line drawings immediately and the expression on Lucille’s face almost as quickly. “What did she ask?” Lucille handed over the note rather than paraphrase it. Mags read the question, breathed once through her nose, and said, “That’s a good question.” Lucille replied that three scientists had said exactly the same thing before giving three answers which were, on examination, one answer wearing different coats. Mags lowered herself into the chair opposite and began sorting the pages. “Who did you ask?” Lucille named them. Mags nodded at each name and, when she reached the third, said, “There’s your mistake. He’d define the chair before he sat in it.”

Lucille’s mouth shifted, but she kept her attention on the paper. “She’ll notice if I cheat.” Mags asked what cheating meant. “Giving her the children’s-book answer because she’s eleven. She doesn’t mind simple language. She minds when simple language is covering a hole.” That, Mags understood immediately. She drew the globe closer and touched the pencil marking the bottom point. “Then don’t start with the compass. Start with the map.” She told Lucille to imagine Glenda looking at a globe rather than a flat page. At the exact geographic South Pole, if she stood with one boot on the marker and took a step in any horizontal direction, she would be moving away from the South Pole and therefore north. There was no east or west in the ordinary sense at the precise point itself because all the lines of longitude met there. Lucille began writing, then stopped when Mags reached for the pencil. “Not yet. Because now she asks why the compass doesn’t point everywhere at once.”

“That is precisely what she’ll ask.” Lucille folded her arms. Mags set the pencil lengthwise across her palm. “Because the compass isn’t reading the lines people drew on the globe. It’s responding to the Earth’s magnetic field. Those are two different systems that happen to be useful together in most places.” Lucille looked at the field-line sketch again. Mags continued before the wording could get lost in precision. The geographic poles were defined by the axis around which the Earth turned. The magnetic poles came from the planet’s magnetic field and were not sitting neatly on top of the geographic ones. A compass needle therefore did not know or care that Lucille was standing at the point mapmakers called ninety degrees south. It tried to line itself up with the magnetic field, and near the polar regions ordinary compasses became troublesome because the field was steep and the horizontal part of the pull was less useful. “So,” Mags said, tapping the globe, “every direction you walk away from this exact point can be geographic north, while the compass still has one magnetic alignment it’s trying to follow. The contradiction is in the word, not in the Earth.”

Lucille read back what she had written and changed “troublesome” to “less reliable for ordinary navigation,” then changed it back because Glenda would know immediately that those phrases did not mean exactly the same thing and would ask which one Mags had meant. Mags watched the revision with growing amusement. “You do realise she’s going to be delighted by the contradiction.” Lucille said that Glenda was delighted by anything that proved adults had named two different things with the same word and then expected children not to notice. Together they reduced the explanation until it could fit comfortably into a reply without becoming thin. Lucille drew a small globe and marked a stick figure at the bottom. Around the figure she added arrows radiating outward, every one labelled NORTH. Beside it she drew a compass and wrote: This is listening to the Earth’s magnetism, not the labels on the globe. She added that if Glenda stood exactly on the Pole and turned around in place, she could face along any longitude she liked; once she stepped away, the usual directions began becoming useful again. Mags corrected one sentence, Lucille restored half of it, and after another minute they arrived at language both could tolerate.

The transmission went out with the next personal traffic, addressed to Glenda with a short line for Phoebe underneath asking her not to improve the explanation unless specifically invited. Mags saw that and asked whether the warning was necessary. Lucille gave her a look. “You’ve met Phoebe.” Mags conceded the point. The rest of the afternoon filled itself with work, and the compass question disappeared beneath schedules, measurements, station notes and a discussion in which Miriam Rosen dismantled an equipment-placement proposal so politely that the man who had suggested it thanked her afterward. Lucille did not mention Glenda again. She did not need to. Mags had children of her own and recognised the way family could remain physically absent while occupying an exact, continuous space in the mind. She noticed Lucille glance once toward the communications room when someone entered carrying traffic, then return immediately to the report in front of her.

The reply came the following day. Lucille was halfway through reading a maintenance summary when somebody handed her the printed message, and Mags watched her attention leave the room before her eyes had reached the second line. Glenda had begun with Got it, which Lucille regarded with suspicion because it was the child’s preferred introduction when she had understood an explanation well enough to attack its edges. The next sentence proved her right. If two people stand back to back on the South Pole and walk straight north in opposite directions, they are both going north but they are getting farther apart. If neither turns around, do they eventually start getting closer again, and if they do, when did “away from each other” become “toward each other”? There was a postscript asking whether the compass would make the problem better or worse. Lucille read the whole thing twice, then handed it silently across the table.

Mags got as far as the second sentence before she laughed, not loudly enough to interrupt anyone working nearby but with the helpless recognition of a scientist who had just watched a neatly closed box acquire another lid. “She’s got you there.” Lucille said nothing. Mags looked up, expecting the answering smile, and found it, but only faintly. Lucille’s thumb was resting against the edge of the paper. For a moment she was not studying the question at all. The expression was small enough that someone who knew her only publicly might have missed it: not misery, not loneliness made theatrical by distance, simply the sudden ache of being able to hear Glenda’s voice inside the wording and not being able to answer by walking into the next room. Mags had felt versions of it herself when a letter from home reproduced one of her children so accurately that the paper became almost cruel. She did not tell Lucille she understood. She reached across instead, turned the globe so the South Pole faced them again, and asked, “Want to work out the second half before she decides to ask what happens at the equator?”

Lucille’s hand settled on the globe opposite hers. “At the equator she’ll only find another problem.” Mags said that this seemed to be Glenda’s method. They began with two pencil marks leaving the South Pole on opposite meridians, and Lucille’s attention returned gradually to the geometry. They would move farther apart until the structure of the globe changed what farther apart meant; if each kept following the meridian northward, their paths would eventually converge again toward the North Pole without either walker ever turning around. Mags had just begun explaining why the maximum separation required more care than Glenda’s wording suggested when she caught herself smiling and asked, “Is she always like this?” Lucille looked down at her daughter’s message once more, the homesickness still there but no longer solitary, and answered, “This was one of the easier questions.”