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Nothing can travel at the speed of light.
I’m sorry, Rainbow Dash.

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3 drawings in one day.
Gotta go fast

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MLP belongs to Hasbro
Art by Me [Segraece]
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32 comments posted
Tetrominon's avatar
Tetrominon
Speaking Fancy - For helping with translations
Happy Derpy!
Bronze Bit

DO NOT BELIEVE HIS LIES
@VS
You mean your posting avatar? Click the drop-down menu at the very top right side of the site layout and select Account; should be clear enough what to do from there. You may want to crop this image, though, I don’t imagine the full-size version would look like much after being compressed down to avatar size.
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Cirrus Light's avatar
Cirrus Light
Artist
Thread Starter - The SJW Thread
An Artist Who Rocks - 100+ images under his artist tag
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Economist

Sciencepone of Science!
@Background Pony #336C
Lol. I love it.

Be careful, though, I may be misleading you –

τ = t * Sqrt( 1 – β 2 )

I sometimes swap t and τ. I checked here, but I’m still not totally certain I got it right.

Also, to clear up something – you always appear normal to yourself, it’s just that you move in slow motion to others, hence the slower acceleration I mentioned.

To you, length contraction would cause the universe to shrink along your direction of travel as you approach the speed of light, which is how you answer the time discrepancy.

It’s weird but it works, due to how time and space are related (and that’s why it’s called spacetime – their close relationship. There’s more to it but that’s it in a nutshell).
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Cirrus Light's avatar
Cirrus Light
Artist
Thread Starter - The SJW Thread
An Artist Who Rocks - 100+ images under his artist tag
Friendship, Art, and Magic (5 Years) - Celebrated Derpibooru's five year anniversary with friends.
Not a Llama - Happy April Fools Day!
Magical Inkwell - Wrote MLP fanfiction consisting of at least around 1.5k words, and has a verified link to the platform of their choice
Best Artist - Providing quality, Derpibooru-exclusive artwork
Birthday Cake - Celebrated MLP's 7th birthday
Helpful Owl - Drew someone's OC for the 2018 Community Collab
Friendship, Art, and Magic (6 Years) - Celebrated Derpibooru's six year anniversary with friends.
Condensed Milk - State-Approved Compensation
Economist

Sciencepone of Science!
Different authors approach the light barrier in different ways.

Relativistic kinetic energy is

E = ( γ – 1 )*m*c

where

γ = ( 1 – β 2 ) -1/2

and β = v / c

This approaches infinity as you approach the speed of light. Thus, it would take infinite energy to accelerate something to the speed of light, though with an arbitrary amount of energy, you may get arbitrary close.

Two other approaches used work in roughly the same way; relativistic mass is somewhat misleading, so has fallen out of favor to a time dilation approach.

If you take the classical F = ma => a = F/m, and realize that F = dp/dt, where p is classical momentum, and make a relativistic correction of using proper time τ in place of coordinate time t, where the two have the relation

τ = t * Sqrt( 1 – β 2 )

you find that F = dp/dt * Sqrt (1 – β 2 ), which means that as you approach the speed of light ( β → 1 ), your increase in momentum would approach infinity in order to increase your speed.



Practically, I think of it this way; time dilation means you move in "slow motion" to others. If you’re moving in slow motion, you don’t accelerate as quickly – you fire off the rocket engines, but because they fire in slow motion, it takes longer for your speed to increase by some increment dv. This has such a behavior that it would take an infinite acceleration to reach the speed of light.

In other terms, still, your momentum increases, so you have to push harder to accelerate the same bit, to where you’d have to push infinitely hard to cross the last bit of speed to reach the speed of light.



There’s a lot of ways to think of it – and all of the ways I’ve mentioned are valid, and experimentally confirmed in particle accelerators :q
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EmployeeAMillion's avatar
EmployeeAMillion
Friendship, Art, and Magic (5 Years) - Celebrated Derpibooru's five year anniversary with friends.
Birthday Cake - Celebrated MLP's 7th birthday
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Heaven knows what she’s planning on doing once she reaches the speed of light.
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Comments32 comments posted