Problem 2: Topics
- Simultaneity: The perception of simultaneous events is relative to one’s frame of reference
- Twin Paradox: A twin that leaves on a space journey at speeds near the speed of light will return home significantly younger than his brother
- Train Paradox: If a train were to enter a tunnel smaller than the width of the train, but length contraction would allow it to fit in the tunnel, would it fit in the tunnel if both doors were to be simultaneously shut once it enters the tunnel?
- Law of propagation of light vs. theorem of adding velocities: The speed of light is constant in all frames of reference, while any other object shot in one frame of reference can have a different measured velocity within another frame of reference
- Length Dilation: As an object moves faster through space, its length will contract
- Time as a fourth dimension: Interpreting time as a physical dimension
- Universe as finite and infinite: Addresses the universe as a 4 dimensional sphere in which it has finite volume but is without bounds.
- E=mc2: A large amount of energy is held within a relatively small mass
- Applications
- Concept
- Space curvature due to gravity
- Rotating disk paradox: does time dilation exist within different points of a rotating disk?
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