... Probably the first time a thread has drifted back...
This observation allows us to make some statements about the
"dimensionality" of silk thread-drift space, under the assumption it
can be modeled by brownian motion.
We know the dimensionality is strictly greater than 0 (in trivial
spaces, no one can drift your thread)
If the dimension is 1 or 2, a thread will return to its origin*
infinitely often as time goes to infinity.
If the dimension is greater than or equal to 3, the distance of a
thread from its origin tends to infinity as time goes to infinity.
Having observed a single return, we can guess that either:
D_delta_thread is high for silk, and we have witnessed an extreme
outlier, or
D_delta_thread is small but positive, but most threads have thus far
not lasted sufficiently long to witness a return.
In order to resolve this issue, I suggest we start an infinite
thread; upon its conclusion we'll have more information to
discriminate between the two cases.
-Dave
* "If I wanted to gamble, I would buy a casino" - JP Getty
