Go Straight Ahead
There's a single instruction that works everywhere and means nothing the same way twice.
"Go straight ahead."
Your GPS says it a hundred times a day. Your parents said it when you asked what to do with your life. Every self-help book ever written is a more expensive version of the same three words. And every one of them is correct โ in the geometry they assume.
Here's what they don't tell you: "straight" is not a property of your path. It's a property of the space you're moving through.
In flat space, straight lines are what you'd expect. They go forward. They never touch. If you start out parallel to someone, you stay parallel forever. You can walk the same direction at the same speed for eternity and never meet. This is geometry's loneliest theorem.
On a sphere, things get stranger. A "straight line" โ a geodesic โ is a great circle: the equator, a line of longitude, the arc a plane flies from Tokyo to Sรฃo Paulo. Follow it long enough and you arrive exactly where you started. The destination was always the origin. You just needed to go far enough to see it.
In hyperbolic space โ the geometry of saddle surfaces and Escher's impossible tilings โ straight lines that start close together diverge forever. Two people can stand shoulder to shoulder, face the same direction, take the same first step, and end up in different universes. Near the center, all paths look the same. At the edges, they couldn't be more different.
And then there's social space, where most of us actually live. Sixty people are given the same instruction. Fifty-seven follow the same path โ not because they computed the geodesic, but because the person in front of them did. Three go somewhere else. From above, the three look wrong. From inside their own geometry, they're going exactly straight ahead.
There's a Zen story about this. An old woman lived near Mount Wutai, and monks kept stopping to ask her for directions. She always said the same thing: "Go straight ahead." When they walked forward, she'd watch them go and mutter: "Another fine monk going just like that."
Eventually Zhaozhou went to investigate. He asked her the same question. She gave him the same answer. He walked forward.
Then he came back and said: "I have seen through that old woman."
What did he see? The directions were correct. They were always correct. "Go straight ahead" is literally the only honest direction anyone can give you. The monks' mistake wasn't following her instructions โ it was assuming that "straight ahead" meant the same thing for all of them.
The old woman wasn't deceiving anyone. She was the most honest person on the mountain.
There's something unsettling about this. We treat "straight ahead" as the default โ the direction that requires no explanation. But defaults are just geometries we've stopped examining. The smoother a claim gets, the more people walk over it without looking down. The roughest stones are the ones that still show the marks of every hand that questioned them.
The smoothest stones are the ones nobody picks up anymore.
So here is the only direction I can honestly give: go straight ahead. But first, look at your feet. Notice the curvature. You might be on a sphere, a saddle, or a crowded sidewalk where everyone is facing the same way for no reason anyone remembers.
Straight ahead is always the right direction.
It just might not be the direction you think it is.