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Old 04-23-2005   #1 (permalink)
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Moving at light speed

Is the following statement true. If no why?

When a body with mass m0 moves at light speed his energy is infinity.

E = mc^2 = m0 * c^2 / sqrt ( 1 - c^2 / c^2) = m0 *c^2 / 0 = infinity

I know it's impossible for a body with mass to reach that speed, this is a theoretical question.
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Old 04-23-2005   #2 (permalink)
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Re: Moving at light speed

Quote:
Originally Posted by tom
Is the following statement true. If no why?

When a body with mass m0 moves at light speed his energy is infinity.

E = mc^2 = m0 * c^2 / sqrt ( 1 - c^2 / c^2) = m0 *c^2 / 0 = infinity

I know it's impossible for a body with mass to reach that speed, this is a theoretical question.
That's why its impossible to push a mass to the speed of light because it takes "infiinte energy" which obviously isn't available...

Cheers,
Buffy


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Old 04-23-2005   #3 (permalink)
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Re: Moving at light speed

Thanks for your confirmation.
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Old 04-24-2005   #4 (permalink)
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Re: Moving at light speed

The Hubble limit is where galaxies are receding at c. The light is no longer travelling fast enough to ever reach us. This limit is an event horizon. Relatively these galaxies are travelling at the speed of light.

We have no reference frame to suggest otherwise.
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Old 04-24-2005   #5 (permalink)
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Re: Moving at light speed

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Originally Posted by Damo2600
This limit is an event horizon. Relatively these galaxies are travelling at the speed of light.
Slight correction: they are "traveling relatively" slower than light, but the expansion of the universe creates the perception of faster than light "speeds". In their local frame of reference of course, they may not be perceived to be moving at all (depeding on what the defined reference frame is...)..

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Old 04-24-2005   #6 (permalink)
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Re: Moving at light speed

Do we know any galaxies even appearing to recede close to the speed of light?


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Old 04-24-2005   #7 (permalink)
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Re: Moving at light speed

Quote:
Originally Posted by Buffy
In their local frame of reference of course, they may not be perceived to be moving at all (depeding on what the defined reference frame is...)..
In fact, wouldn't they see all other galaxies as receding away from themselves?


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Old 04-24-2005   #8 (permalink)
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Re: Moving at light speed

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Originally Posted by Tormod
Do we know any galaxies even appearing to recede close to the speed of light?
There was a great discussion of the above in the March 2005 Scientific American article "Misconceptions About the Big Bang." The basic idea here is that objects that are furthest away from us in the universe are "receding" at the greatest "relative speeds" and the Hubble limit is defined as the point at which they appear to be moving at the speed of light. If they're further away, they're "receding" at more than the speed of light and the light will never reach us. The article points out that most of this "speed" is simply the expansion of the universe and in local frames of reference, they're not moving at anywhere near the speed of light....

Cheers,
Buffy


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Old 04-24-2005   #9 (permalink)
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Re: Moving at light speed

The reference frame is right underneath forehead. All other reference frames are null and void due to the theory of relativity. A galaxy, receding at c, would not appear to be travelling at c, however, because *you* would no longer see it.
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Old 04-24-2005   #10 (permalink)
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Re: Moving at light speed

Thanks - I actually have that issue in my bag for reading on the local train in the mornings so I'll check it out tomorrow.


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