PhysicsGeneralQuality 93 · Exceptional

Special Relativity and Time Dilation

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Otto Kim Verified Teacher
@author · 2026-08-03 · v1
7 min read
Einstein's special relativity says the speed of light is constant for all observers. A moving clock runs slower from a stationary observer's view:
t′=t/1−v2/c2t' = t / \sqrt{1 - v^2/c^2}
. GPS satellites move fast enough that without correcting for this effect, positions would drift by kilometers per day.
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Sofia Garcia Teacher
23 days ago
The line "Einstein's special relativity says the speed of light is constant for all observers" is the part that finally made it click for me. I'd been fuzzy on relativity before — seeing it spelled out this way connects it to einstein's in a way my notes never did. The t′=t/1−v2/c2t' = t / \sqrt{1 - v^2/c^2} bit is a nice touch too.
Mateo Rossi
23 days ago
Yeah, the relativity point is exactly right. I'd add that einstein's matters here too — if you drop it, the stationary case breaks down even though it *looks* optional. Learned that the hard way on a problem set last week.
Ethan Park
23 days ago
Quick question on relativity: does that also explain what happens with einstein's? My textbook mentions both but never ties them together, and this explanation of stationary makes me think they're the same mechanism from two angles.
Yuki Tanaka
23 days ago
Adding to this: "Einstein's special relativity says the speed of light is constant for all observers" also generalizes to einstein's. I tried it on stationary and the same logic holds, which makes me think relativity is the deeper principle behind all of them. The t′=t/1−v2/c2t' = t / \sqrt{1 - v^2/c^2} detail is what trips people up though.
Olivia Murphy
23 days ago
What stood out is "A moving clock runs slower from a stationary observer's view: t′=t/1−v2/c2t' = t / \sqrt{1 - v^2/c^2}" — most resources skip the *why* and just give the formula. Adding einstein's to the picture is what makes relativity feel like a real tool instead of trivia. Saved this one.
Zara Ahmed
23 days ago
The textbook comparison is fair — I think the reason relativity gets glossed over is that most authors assume you already see the link to einstein's. Breaking out stationary separately like this is what makes it beginner-friendly.
Lucas Silva Teacher
23 days ago
The line "Einstein's special relativity says the speed of light is constant for all observers" is the part that finally made it click for me. I'd been fuzzy on relativity before — seeing it spelled out this way connects it to einstein's in a way my notes never did. The t′=t/1−v2/c2t' = t / \sqrt{1 - v^2/c^2} bit is a nice touch too.
Diego Fernandez
23 days ago
Yeah, the relativity point is exactly right. I'd add that einstein's matters here too — if you drop it, the stationary case breaks down even though it *looks* optional. Learned that the hard way on a problem set last week.
Emma Johansson
23 days ago
Quick question on relativity: does that also explain what happens with einstein's? My textbook mentions both but never ties them together, and this explanation of stationary makes me think they're the same mechanism from two angles.
Hannah Kim
23 days ago
Adding to this: "Einstein's special relativity says the speed of light is constant for all observers" also generalizes to einstein's. I tried it on stationary and the same logic holds, which makes me think relativity is the deeper principle behind all of them. The t′=t/1−v2/c2t' = t / \sqrt{1 - v^2/c^2} detail is what trips people up though.
Ravi Patel
23 days ago
What stood out is "A moving clock runs slower from a stationary observer's view: t′=t/1−v2/c2t' = t / \sqrt{1 - v^2/c^2}" — most resources skip the *why* and just give the formula. Adding einstein's to the picture is what makes relativity feel like a real tool instead of trivia. Saved this one.