  The lonely runner conjecture, now over fifty years old, concerns the
following problem. On a unit length circular track, consider $m$ runners
starting at the same time and place, each runner having a different constant
speed. The conjecture asserts that each runner is lonely at some point in time,
meaning distance at least $1/m$ from the others. We formulate a function field
analogue, and give a positive answer in some cases in the new setting.
