When exactly light started its journey away from a supernova?

[Romulo Binuya]

When media reports a supernova it sounds like it happened just a while ago despite the photon stream came from say 10 million light-years away. Is it approximately correct to tell the layman that actually that supernova happened 10 million years ago because it took that time for its light to reach us? I like to include time dilation and length contraction in the calculation of when exactly light started its journey away from a supernova. Unfortunately, I don't know yet how to calculate that :-D

 

[Nugatory]

When media reports a supernova it sounds like it happened just a while ago despite the photon stream came from say 10 million light-years away. Is it approximately correct to tell the layman that actually that supernova happened 10 million years ago because it took that time for its light to reach us?

yes.

I like to include time dilation and length contraction in the calculation of when exactly light started its journey away from a supernova. Unfortunately, I don't know yet how to calculate that.

You don't need to consider either - they aren't involved in this problem.

 

[russ_watters]

You don't need to consider either - they aren't involved in this problem.

At least for nearby ones, which aren't moving fast wrt us.

 

[Dale]

Well, presumably a reporter on Earth would report on events wrt Earth's frame, so even for a relativistically moving star you wouldn't need to worry about length contraction and time dilation. After all, reporters rarely bother to report both sides of a story.

 

[Romulo Binuya]

Someone in the web explained time dilation and length contraction, and he said "A journey to the 4.3 light-years distant Alpha Centauri C, the closest star to our Sun, would take only 7.4 months in a spaceship moving at 0.99c". Since he didn't show the calculation and I don't know yet how to do it myself, my judgement is deferred.

 

[phinds]

Someone in the web explained time dilation and length contraction, and he said "A journey to the 4.3 light-years distant Alpha Centauri C, the closest star to our Sun, would take only 7.4 months in a spaceship moving at 0.99c". Since he didn't show the calculation and I don't know yet how to do it myself, my judgement is deferred.

Your judgement about WHAT? This has nothing to do with your question, as nugatory has already stated.

 

[Romulo Binuya]

I agree with Nugatory, that's what I've been telling the kids, that if the photon stream of a supernova came from 10 million light-years away then that supernova happened 10 million years ago. But that guy who thrown in time dilation and length contraction in the equation made me worried that I might misleading the kids.

 

[ghwellsjr]

Someone in the web explained time dilation and length contraction, and he said "A journey to the 4.3 light-years distant Alpha Centauri C, the closest star to our Sun, would take only 7.4 months in a spaceship moving at 0.99c". Since he didn't show the calculation and I don't know yet how to do it myself, my judgement is deferred.

The calculations are based on the Lorentz Transformation. I have drawn a couple spacetime diagrams to show you the results. First a diagram showing Earth as the thick blue line with dots spaced one year apart, Alpha Centauri C as the thick red line 4.3 light years away from Earth and a spaceship as the thick black line traveling for one year of its own Proper Time. I have also shown a light signal as the thin blue line just below the spaceship sent to the star:

As you can see, in the earth-star rest frame, it takes just over 4.3 years for the spaceship to get to the star at 99%c.

Now if we use the Lorentz Transformation process to convert to the rest frame of the spaceship we get:

Now the distance between the Earth and the star is contracted and so the spaceship can get there in just over 7 months.

 

[Romulo Binuya]

You made it look simple ghwellsjr! I have an illusion I'm starting to understand the not intuitive warped spacetime. So in one perspective i.e. diagram no.1 I'm not misleading the kids. Btw, this article had it too in the same way, but then they have reason to emphasize it... about a supernova that happened 7 billion light-years away and the three little photons that traveled for 7 billion years...
http://www.space.com/17399-gamma-ray-photons-quantum-spacetime.html