T>xΔxm/h

The equation i'm going to discuss is: T > xΔxm / h


It may seem a bit large, or scary but trust me it isn't.


It is a equation, derived from Feynman's path integral equation and tells us the minimum amount of time it'd take for something to basically 'jump' out of a box. This being quantum mechanics, its a bit stranger that what we expect. Since electrons can be in two places at once, or an infinite amount. We could technically move out of a sealed box.


T = time it will take.
x = Size of box.
Δx = Amount it will move (like 5m)
m = Mass of object
h = Plancks constant.


So...


T > (10metres x 11 metres x 50 kg (you!)) / 6.626x10^-34 =....


8.3*10^36seconds!


This is around 2.623*10^29 years!


Thats way older than our universe!


But this is a giant thing, well relatively (us).


Lets try an electron.


T > (1x10*-15m x 1.1*10*-15m x 9.12*10^31kg) / 6.626*10^-34 =....


This is quite a jumble, but the answer is... 117seconds!


Thats all it takes for an electron to jump out of a tiny, tiny box. Pretty amazing right, about at least 2 minutes!


This equation like said was derived from a Feynman equations. You now know how to calculate pretty crazy sums!


Thanks for reading, Ben.