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Champions of Equestria

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Description

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

3 drawings in one day.
Gotta go fast

MLP belongs to Hasbro
Art by Me [Segraece]

safe2267938 artist:segraece169 part of a set26717 rainbow dash290825 pegasus536803 pony1700558 g42127020 colored pupils14348 cute280089 featured image1282 female1909536 floppy ears77761 grin67076 mare806409 meteor208 nebula338 planet1750 pony bigger than a planet621 prone38196 riding9795 smiling431833 solo1505838 space6908 spread wings105693 surreal1167 tangible heavenly object1678 windswept mane3913

Comments

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Cirrus Light
Economist -
Condensed Milk - State-Approved Compensation
Friendship, Art, and Magic (2018) - Celebrated Derpibooru's six year anniversary with friends.
Helpful Owl - Drew someone's OC for the 2018 Community Collab
Birthday Cake - Celebrated MLP's 7th birthday
Best Artist - Providing quality, Derpibooru-exclusive artwork
Magical Inkwell - Wrote MLP fanfiction consisting of at least around 1.5k words, and has a verified link to the platform of their choice
Not a Llama - Happy April Fools Day!
Friendship, Art, and Magic (2017) - Celebrated Derpibooru's five year anniversary with friends.
An Artist Who Rocks - 100+ images under his artist tag

Sciencepone of Science!
@Detsella Morningdew  
You’re welcome! Nice to see something good come of my physics-posting, heh.
 
I want to addendum that two big reasons relativistic mass has fallen out of favor are:  
  1. If you use relativistic mass, then you must ignore time dilation’s effect on the acceleration or you’ll “double-dip”, so it’s a less consistent way of viewing it.  
  2. Also that implies an intrinsic property of the matter, mass, changes in the other frame - but that is untrue. In the object’s own frame, its mass never changes, and its gravity doesn’t get stronger or anything, either.
Tetrominon
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).
Non-Fungible Trixie -
Bronze Bit -
Speaking Fancy - For helping with translations
Happy Derpy! -

Undesirable
@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.
Cirrus Light
Economist -
Condensed Milk - State-Approved Compensation
Friendship, Art, and Magic (2018) - Celebrated Derpibooru's six year anniversary with friends.
Helpful Owl - Drew someone's OC for the 2018 Community Collab
Birthday Cake - Celebrated MLP's 7th birthday
Best Artist - Providing quality, Derpibooru-exclusive artwork
Magical Inkwell - Wrote MLP fanfiction consisting of at least around 1.5k words, and has a verified link to the platform of their choice
Not a Llama - Happy April Fools Day!
Friendship, Art, and Magic (2017) - Celebrated Derpibooru's five year anniversary with friends.
An Artist Who Rocks - 100+ images under his artist tag

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).
Cirrus Light
Economist -
Condensed Milk - State-Approved Compensation
Friendship, Art, and Magic (2018) - Celebrated Derpibooru's six year anniversary with friends.
Helpful Owl - Drew someone's OC for the 2018 Community Collab
Birthday Cake - Celebrated MLP's 7th birthday
Best Artist - Providing quality, Derpibooru-exclusive artwork
Magical Inkwell - Wrote MLP fanfiction consisting of at least around 1.5k words, and has a verified link to the platform of their choice
Not a Llama - Happy April Fools Day!
Friendship, Art, and Magic (2017) - Celebrated Derpibooru's five year anniversary with friends.
An Artist Who Rocks - 100+ images under his artist tag

Sciencepone of Science!
Different authors approach the light barrier in different ways.
 
Relativistic kinetic energy is
 
E = ( γ - 1 )mc
 
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