This time the GS ball does not seem to be involved at all which means you do not need to talk to Kurt and wait a day; instead of fighting the Celebi after going to the Ilex Shrine and pressing A your friendly rival (Kotone (jp)/ or Hibiki (jp) will appear but Celebi will come out and start glowing and take you and your rival back in time. Here you will be taken to Route 22 and see a conversation between Giovanni and Silver who refuses to join Team Rocket so Giovanni decides to split up with his son and heads West while Silver heads south and bumps into you.
This time instead of transporting Silver back in time Celebi seems to make a mistake and takes you into Giovanni's lair where you will fight Giovanni, after beating him he will tell you he reminds you of someone 3 years ago (red?) and takes you back to the present.
The only reason I included (kind of) in the title is because this event hasn't happened yet so isn't known to all of Nintendo but the ingame text seems to prove that Silver and Giovanni are related.
Sources : http://www.serebii.net/heartgoldsoulsilver/celebi.shtml