The plot of an anime called Steins;Gate is that they were able to invent a time machine, not for physical time travel, but instead was able to send text messages to the past.

Imagine you built a drill, and you were able to scale it down more and more, down so small that you could 'drill' into an 'atom.' But once down at that scale, you scale it down a bit further until at some point, you run into another 'drill' that looks oddly similar to your own 'drill.'

You stop drilling to reveal a hole, you pass a small folded up note through the hole, and almost simultaneously, another little folded up note is passed back to you like a mirrored image, but the information contained in the note is different; you find out that you can process information through this exchange.

What would you do?

This speculation gets weird: from the other side's temporal perspective, you sending your first communication packet to them was not prior to them sending their first communication packet to you, which from your temporal perspective, it was perceived as being sent back to you. Said another way: your initial submission was the answer to their initial submission and vice versa, all of which occurred cross-temporally. Temporal cause and effect are blurred due to the incredibly tight spacial proximity.

What would be the implications of communicating/processing information across a boundary which hardly anyone (publicly) understands completely?

I’m not saying that they’re not using crazy ass computers to crunch immense amounts of data and arrive at possible outcomes to the point of being able to estimate the future. I am saying that the people making Q drops are human.