Assuming those extra dimensions really exist (it is unproven), I think we are centuries or even millennia away from being able to make technological use of them-if we ever will be at all

Expand into the time dimension, evaluate infinite execution paths by reversing the pipeline, rerunning, and storing the results in a future accumulator.

You give a whole new meaning to branch prediction. I knew you were going there, and I still did not avoid the brain twang.