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Option B. Portals already break a couple of laws of physics and can reverse entropy, but I like to think you should look at the speed of an object relative to the portal.
What if the blue portal is at the bottom of the Marianas Trench?
Speedy thing go in, speedy thing come out. Clearly explained in game.
But I'm this case the cube has no speed, the platform does, so it wouldn't just suddenly start moving.
Frame of reference. If a person is hit by a train, from their perspective, they were standing still and the train was moving. But a person in the train can stand up and walk around without difficulty, they can stand on one foot and balance, they can jump up and down and not go flying away; so they are standing still from the trains perspective, it's everyone and everything outside the train that's moving.
What happens isn't a transfer of momentum or energy or velocity; it's a change in the frame of reference. That can't happen in real life and breaks a lot of different laws of physics, so people are having trouble wrapping their brain around it.
The portals are a frame of reference. Both the IN and OUT portals have their own, separate frame of reference. The player's reference doesn't actually factor into it. When you go through a portal, you are switching from the IN frame of reference, to the OUT frame of reference. And in this situation, the IN frame of reference has you flying toward the portal at whatever speed it's approaching you.
The cube does have a non zero speed, it just depends what frame of reference you are measuring it by.
It has speed relative to the portal though. Everything has some speed because we're orbiting the sun, etc