Probability cannot be conserved over time, because there is no translation-invariant probability measure on the space of times.
Yes, but conditioning everything on what time it is strikes me as an odd thing to be happening in fundamental physics.
-
-
It hardly seems like an odd thing for the "time evolution" operator to be doing, though...
-
That is, it's precisely what it means to be the "time evolution" operator, to be the operator which evolves the probability distribution P_t into the probability distribution P_{t'}.
-
If there is an ontologically real probability measure on configurations of the universe, one might expect it not to only be defined conditioned on time. And if so, how total probability changes over time is something one could reasonably ask of a time evolution operator.
End of conversation
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.