There's a clean piece of math hiding underneath the word "lucky"
When you're stationary, your probability of a lucky event is bounded by your existing surface area.
The people you already know. The places you already go. The ideas you've already been exposed to. A fixed window.
When you move, that window expands nonlinearly. If you know N people and each of them knows N people, your second-degree network is up to N² — before overlap. Double your direct connections and your second-degree reach quadruples — because each new node connects you to their entire network, not just to them. This is Metcalfe's Law applied to opportunity. Not a metaphor. Combinatorics.
The popular version of this idea gets dressed up in physics language and misattributed to a physicist. The physics isn't needed. The arithmetic does the work.
The data
Richard Wiseman ran a 10-year study at Hertfordshire. He tracked self-described lucky and unlucky people — what they did, where they went, who they talked to.
The differentiator wasn't IQ, education, or money. Lucky people scored higher on one trait: openness to experience. They talked to strangers more. Varied their routines more. Said yes to invitations at nearly twice the rate.
The unlucky group followed the same routes, ate at the same restaurants, talked to the same five people. Closed loops. No new inputs, no new collisions.
Same calendar time. Wildly different outcome distributions.
Wiseman's unlucky people weren't cursed. They were optimizing for comfort — at the cost of N.
The cost
The lobster is doing more work than the analogy suggests.
Lobsters grow by shedding their shell when it gets too tight. The growth requires total vulnerability — no protection, no armor, soft body exposed to the ocean. The new shell only hardens after you've already moved.
That's the cost of movement nobody posts about.
The story always starts after the shell hardens. "I took a leap and it paid off." But the softness is the mechanism — the period where you've shed the old structure and the new one hasn't formed yet. You can't increase N without first letting go of the closed loop.
The practice
The question isn't how often you move — it's whether the movement adds new nodes to the graph.
Saying yes to more of the same context moves N linearly at best. The nonlinear effect kicks in when you cross into an adjacent domain — where your pattern library isn't priced yet, where the locals don't have your background.
Three moves that actually shift the distribution.
Go to rooms where you're the odd one out. A developer at a design conference. An engineer at a policy event. The friction of context mismatch is the mechanism. Your knowledge carries different value where nobody else has it yet.
Ask questions publicly instead of performing expertise. Questions attract people who know things. Performance attracts people who want to borrow. One expands the graph. The other circulates inside it.
Maintain the weak ties. A brief message to someone you haven't talked to in a year costs almost nothing.
None of this is a system. It won't feel like progress. The compounding happens sideways — peripheral, accidental, unmeasured.
That's not a bug.
Luck isn't random. Luck is surface area. And surface area is a function of movement.
The math explains the mechanism. The lobster explains the price. The practice is just movement with intention.
The question isn't whether luck is real. It's whether you're willing to be soft for a while.