Coronatus
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| Joined: 27 Dec 2010 |
| Total Posts: 25180 |
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| 14 Apr 2016 08:21 PM |
It can be proved in five easy steps:
1.Using the postulates of special relativity, determine how space and time coordinates transform under changes of reference frame (i.e. derive the Lorentz transformations).
2. Using 1., determine how the temporal frequency \nu (and wave number k) of photons transform under changes of reference frame (i.e. derive the formulae for relativistic Doppler shift).
3. Using Planck’s law E = h\nu (and de Broglie’s law p = \hbar k) and 2., determine how the energy E (and momentum p) of photons transform under changes of reference frame.
4. Using the law of conservation of energy (and momentum) and 3., determine how the energy (and momentum) of bodies transform under changes of reference frame.
5. Comparing the results of 4. with the classical Newtonian approximations KE \approx \frac{1}{2} m|v|^2 (and p \approx mv), deduce the relativistic relationship between mass and energy for bodies at rest (and more generally between mass, velocity, energy, and momentum for moving bodies). |
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Roberate
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| Joined: 03 Aug 2015 |
| Total Posts: 7504 |
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| 14 Apr 2016 08:22 PM |
i can confirm this as true as i am currently revolving around him.
r+://398673418 |
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Coronatus
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| Joined: 27 Dec 2010 |
| Total Posts: 25180 |
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| 14 Apr 2016 08:23 PM |
| Tl;dr im more important than the rest of you |
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| 14 Apr 2016 08:26 PM |
| instructions unclear i thought the earth was flat |
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