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in any inertial reference frame. The magnitude of the 4-momentum, in any inertial frame, equals the rest mass <math>m_0</math> of the particle (in units where <math>c=1</math>).
 
in any inertial reference frame. The magnitude of the 4-momentum, in any inertial frame, equals the rest mass <math>m_0</math> of the particle (in units where <math>c=1</math>).
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== Relativity in everyday life ==
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Due to the small speeds and gravitational fields in normal life, relativistic phenomena such as time dilation and length contraction are rarely observed. However some things in everyday life can be explained using relativity:
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*GPS, the satellites experience time dilation due to the difference in speed and the strength of gravitational field between the satellite and the ground. This is corrected by daily synchronisation between the ground and the atomic clocks in the satellites.
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*While most elemental metals such as [[silver]], [[zinc]] and [[mercury]] have a silver/grey appearance, some metals like [[gold]] and [[copper]] do not. This difference can be explained using relativistic quantum mechanics.
    
== Paradoxes ==
 
== Paradoxes ==
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