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Why can’t I go faster than the speed of light?

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Re: Why can’t I go faster than the speed of light?

#171
post #114

Earlier quoted context omitted.

Also, it doesn’t take too much acceleration to make that trip. Comfortable earthlike 1g (~ 10m/s/s) is enough to build up a decent speed in a very reasonable time. Energy is the issue though.

You need to spend equal amounts of energy and time on both acceleration and deceleration. It doesn’t help to go fast if you can’t stop at where you are going.

Depends what the cargo is.

Re: Why can’t I go faster than the speed of light?

#172
post #114

Earlier quoted context omitted.

Also, it doesn’t take too much acceleration to make that trip. Comfortable earthlike 1g (~ 10m/s/s) is enough to build up a decent speed in a very reasonable time. Energy is the issue though.

It's a fantasy as long as you are still living under the tyranny of the rocket equation.

I don't think anybody thinks such a ship is possible with chemical rockets.

Re: Why can’t I go faster than the speed of light?

#173

Earlier quoted context omitted.

You need to spend equal amounts of energy and time on both acceleration and deceleration. It doesn’t help to go fast if you can’t stop at where you are going.

Depends what the cargo is.

True - if it's a warhead, the acceleration is a bonus.

Re: Why can’t I go faster than the speed of light?

#174
post #23

I think a lot of people assume that this means you couldn't go more than a few (~100) light-years in your lifetime... But this is not actually correct. Counter-intuitively you can theorically go any number of light-years (essentially) in your lifetime, as long as you are able to approach the speed of light because when you do so the distance is dilated and hence you're covering far more ground within your reference f…

You can even do so without going near the speed of light if you build a very massive ship and utilize time dilation of gravity. Arvin Ash has a cool video on this that is probably too complicated to describe in a HN comment: https://www.youtube.com/watch?v=PA66ah9b0U4

As long as we are talking about how far you can go in one lifetime, how would human body react in a spaceship with that much mass? Wouldn't the gravity crush any humans to death. 10% of the sun's mass is more than 30,000 times earth's mass. Add to that the fact that the diameter is only 620 m, and the gravity becomes 1.4e13 g.

Re: Why can’t I go faster than the speed of light?

#175

Earlier quoted context omitted.

If distances are dilating, why isn't that /less/ ground?

The distance doesn't dilate; time does. The distance contracts . E.g., to a photon moving at 1c, the whole universe has a contracted length of 0 meters, and it crosses the whole universe instantly. To us, observers at and the photon takes to cross the whole universe. By the time the photon's 0-second journey across the entire universe has finished (whatever that means), we're all extremely old. :D This is the time di…

> E.g., to a photon moving at 1c, the whole universe has a contracted length of 0 meters, and it crosses the whole universe instantly.

Since the universe expands with >1c, I wonder if the photon actually crosses the whole universe. And if not, how it would look like from the prespective of the photon?

Re: Why can’t I go faster than the speed of light?

#176
post #114

Earlier quoted context omitted.

Also, it doesn’t take too much acceleration to make that trip. Comfortable earthlike 1g (~ 10m/s/s) is enough to build up a decent speed in a very reasonable time. Energy is the issue though.

Yep. At 1g you could literally go to the edge of the visible universe in less than 50 years (assuming you are targeting the edge as defined at time of departure).

[deleted]

Re: Why can’t I go faster than the speed of light?

#177
post #3

The simplest way I could ever wrap my head around this, is to understand that everything travels through spacetime at the same speed. There is no travelling faster or slower, just crossing the graph at a different angle.

Yes, the magnitude of something's 4-velocity vector is always c^2 (set it to 1 in your unit system) by definition. It's not as simple as a R^n vector because you have a time coordinate of opposite sign and you switch coordinate systems by Lorentz transformation, but it's the right intuition. (It's complicated further in the presence of gravity, where you need an enriched differential geometry notion of a velocity vector since the spacetime is curved.)

Re: Why can’t I go faster than the speed of light?

#178

Can a thing with no mass ever go less than the speed of light? Does it have a concept of time?

Sure, light is slowed down when it travels through different substances. That's why we have refraction.

Is it really slowed down? I always assumed that it just need to take a longer way through matter than through vacuum.

Re: Why can’t I go faster than the speed of light?

#179
post #23

I think a lot of people assume that this means you couldn't go more than a few (~100) light-years in your lifetime... But this is not actually correct. Counter-intuitively you can theorically go any number of light-years (essentially) in your lifetime, as long as you are able to approach the speed of light because when you do so the distance is dilated and hence you're covering far more ground within your reference f…

Yup. If Musk builds a continuously accelerating rocket, he could die at the end of the universe instead of on Mars.

Re: Why can’t I go faster than the speed of light?

#180
post #97

My favorite general relativity paradox: A runner is running with a 20m pole at a sufficient velocity so that a stationary observer sees the pole having length 10m. The runner runs through a barn which is 10m long. And two people outside shut the doors simultaneously so that the runner is completely enclosed in the barn for a moment. But from the runner's perspective, the barn has length 5m long. What does she see hap…

This is a special relativity paradox.
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