Practice question · Put in order
Order the logical chain of special relativity.
- Accept that measurements of time and length must depend on the observer's motion
- Derive time dilation and length contraction as the consequences
- Notice this is impossible if time and length are the same for everyone
- Take it as given that every observer measures light at the same speed
- Deduce that mass is itself a form of energy, E = mc squared
Hints
- The chain starts from an experimental fact and ends at a formula, not the other way round.
- The contradiction has to be noticed before anything can be given up to resolve it.
Show the answer
- Take it as given that every observer measures light at the same speed
- Notice this is impossible if time and length are the same for everyone
- Accept that measurements of time and length must depend on the observer's motion
- Derive time dilation and length contraction as the consequences
- Deduce that mass is itself a form of energy, E = mc squared
Why
Everything follows from one postulate plus a refusal to tolerate contradiction. The famous mass-energy relation is a late consequence, not a starting point, which is why relativity is a good example of physics being deductive rather than a collection of separate discoveries.
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