[betty boop]

Some of the most fundamental principles of quantum mechanics - e.g. the Heisenberg principle, the Schrödinger equation - explicitly include first derivatives with respect to time.

Quantum events are perfectly indifferent to time, and they do not depend on the future in the sense I describe: They depend on the observer. It is the observer -- Heisenberg, Schroedinger, the experimental scientist -- who "interjects" any kind of time sense into such events. And generally, this is limited to noting the time duration of the observed quantum event.

But the concept of future I am trying to describe to you involves a teleological consideration -- a purpose, a goal. Do you suppose that quantum particles exchanging energy among themselves or a vacuum field have such any goal or purpose in view?

[Doctor Stochastic]

In the sense you describe, classical mechanics doesn't depend on the future, either. Neither do chemical or biological or geological or astronomical systems.

[Right Wing Professor]

Quantum events are perfectly indifferent to time, and they do not depend on the future in the sense I describe: They depend on the observer. It is the observer -- Heisenberg, Schroedinger, the experimental scientist -- who "interjects" any kind of time sense into such events. And generally, this is limited to noting the time duration of the observed quantum event.

Quantum mechanics determines the behavior of all matter, whether or not anyone observes it. Any chemical reaction is a time-dependent process that is governed by quantum mechanics.

Do you suppose that quantum particles exchanging energy among themselves or a vacuum field have such any goal or purpose in view

No. But nor do I think that a dividing amoeba has one either.