Isn't the Second Law basically statistical? And wasn't it spelled out before anybody mentioned "spacetime"? There's this line about all the water molecules in

Isn't the Second Law basically statistical? And wasn't it spelled out before anybody mentioned "spacetime"? There's this line about all the water molecules in a glass "randomly" jumping upward at the same time, leaving the glass empty. As far as I'm aware, this is completely possible; it's just so incredibly unlikely that it's never been observed. If the Arrow Of Time is a result of the Second Law, maybe a similar ultra-unlikely circumstance could result in time going backwards. At any rate, I'm not aware of anything that derives the Arrow Of Time from any fundamental property of spacetime.