Lol, I don't believe the Earth was waiting for us at all. I think it's here, and we're here, and that's about it.
Besides, what's time?
Scientific studies show that different beings may experience time differently. Let me tell you about this experiment. They wired up a whole bunch of different animals, including insects and people, to machines to study their brains. Then they started a strobe light. Brain lights up every time it perceives a flash. So they increase the rate. They want to know, at what point do creatures stop seeing a flashing light and just see once continuous beam. They find a direct correlation to metabolism. The higher the metabolism, the higher rate they can perceive. Highest was a housefly. Lowest among those they measured was an old tortoise. Humans were towards the lower end.
I expect, from my own experience, that the younger the human (and therefore the higher the metabolism), the fast the light can be.
They theorize that maybe creatures with a higher metabolism may experience time more slowly.
This would have an evolutionary advantage in the case of, say, a child vs an adult. The child experiences things moving more slowly, and so while they can't actually force their body to move faster, they have more time to react.
This might be why our ability to catch a ball, or drive a car decreases with age, why now that I'm old, everything seems to move so quickly ... but I feel so slow. This may be why the years pass so fast now compared with when I was a kid.
But imagine for a second how the extremes might experience time.
Imagine a housefly, that only lives for about a month, maybe. So what if it doesn't FEEL like the way a month feels to me. What if a month, for a housefly, feels like 70-80 years. So let's round off and say they experience 75 years in 25 days. What if one day feels like 3 years? An hour of our time would feel like 45 days. A minute would feel like 18 hours. Each second of our time would feel like 18 minutes for them. A housefly might not think it's buzzing around all crazy-like. It might think it's soaring majestically like an eagle while all life around it moves so slowly they almost can't see us moving.
A turtle would be the opposite. Maybe turtles don't realize they're slow. Maybe they think they're just trucking along at normal speed while all us monkeys are blurring around them at high speed.
But what about the Earth? What if the Earth were conscious? The whole history of human existence would last about as long as a sneeze.