So this doesn't sound like we would be able to send people through. But information could potentially be sent back in time.
And that is a huge can of worms. We'd potentially get an actual answer on how time paradoxes get resolved.
Load up the machine with the latest lottery numbers, send the info as far back as the machine can do, and see what happens.
I'm guessing the current amount of negative timeisn't enough. But I'm sure with enough experiments & understanding it could be pushed out a bit. Worst case it'd have to be an automated process with a computer doing the gambling.