There was only one way to find out.
Link ran out of the Temple of Time, and into the streets of the town's marketplace. As he was running towards Hyrule Castle, he accidentally bumped into someone. He turned to apologize to them.
As he turned, he came face to face with himself.
The jaws of both Links dropped as they stared wide-eyed at one another.
"Who are you?!" The second Link asked. The first Link was just as puzzled as his double, but then a look of realization came over his face.
"I think I know what's going on. I'll explain everything - but it's too chaotic here. Let's go someplace more quiet."
The first Link led the second Link into the pathway that led to Hyrule Castle, which was free of women saying, "Aw, look at those cute little twins!"
The first Link began to explain. "Not too long from now, you travel into the future. Then, you travel back into the past. I'm your future self."
"What makes me travel into the future? And where is your Navi?"
"It's a long story. First, let me ask - have you met Princess Zelda yet?"
"No. I was just on my way there."
"After you meet Zelda, she tells you that you need to collect two more Spiritual Stones in order to stop a man named Ganondorf who wants to use the Triforce for evil. But when you collect all three Stones, you open a portal that lets Ganondorf get the Triforce. So then you are frozen for seven years until you're strong enough to defeat Ganondorf. After you defeat him, the future version of Zelda sends you back in time. ...And here I am."
"...Oh." The second Link said after a long silence. "...Then we should tell Zelda not to bother with the Stones, and to find some other way to stop Ganondorf."
"That would be a great idea. Let's go."