The Youtube link keeps breaking, so here is a search on Youtube for Brian Cox' A Night with the Stars lecture. Pause the video on 40.32minutes.
What you see he said is called Feynman's Path Integral.
$K(q",q',T)=\sum_{paths}Ae^{iS(q",q',T)/h}$
Am I right in thinking this adding all the different paths a particle can take predicting the probability of it landing in a certain position?
Once that question is answered how in the world did he simplify it to:
$t > \dfrac{x \Delta{x} m}{ h} $--- (42.39minutes)
This second equation he got from simplifying was what is used to "predict how long it would take" for his "diamond to jump out of the box", how fascinating.
So: what is all this in Feynman's Path Integral? and how did he simplify it to get the other equation? and if you know, what is this second equation called?