If the planet is 20 light years away, you're saying we
could reach it in less than a year if we attain a velocity
of 0.9999c?
Yes. In the reference frame of the traveler, very little time passes. However, when he returns, people on earth will have aged more than 40 years.This is also why particles traveling at c cannot possibly decay: no time passes for them. A photon is everywhere at once, from its own point if view.
I also hope to have an understanding of what it means for a photon to be everywhere at once, from its own point of view.
In the end, I guess I just want to understand the universe just a bit more than I do.
This is also why particles traveling at c cannot possibly
decay: no time passes for them. A photon is everywhere at
once, from its own point if view.
That's a really great explanation. For the first time, I've been able to visualize how light can be both a particle and a wave. Thank you.Furthermore, all particles (electrons, protons, quarks, etc.) have wave-particle duality just as much as photons do.
And rounding it out, different observers disagree on which events are simultaneous. In particular until the traveler turns around, the traveler thinks that the Earth was left recently. After the traveler turns around, in the new reference frame the traveler left the Earth close to 40 years prior.
Sci-fi dealing with this topic: Forever War, Ender's series, a few stories from Niven's Known Space universe.
Here's a really mind-blowing thing: If you were able to accelerate at a fairly reasonable rate indefinitely - say - using an interstellar ramjet, you could conceivably circumnavigate the entire universe within a human lifetime (in your own frame of reference, of course)
Of course, interstellar ramjets might not actually work in practice... but still, the concept of time/space dilation holds.
If the child were moving at 0.9999c (which is less than 1.0000c) and the planet is 20 light-years away, then how could it take less than 20 years for the child to reach it? Let alone ~0.5 years?
EDIT: Here's an explanation from a friend:
That's... awesome.