Virtual laboratory/Physics/Relativity/The Michelson–Morley experiment — the end of the ether

The Michelson–Morley experiment — the end of the ether

An extension of the topic of the constancy of the speed of light and the theory of relativity. The Michelson interferometer was meant to detect the Earth's motion relative to the "ether", but it found no difference in the speed of light in different directions. The null result overturned the ether hypothesis and became the foundation of the theory of relativity (Michelson, Nobel 1907).

The Michelson–Morley experiment — the end of the ether
Physics · Theory of relativity · The Michelson–Morley experiment (FIZ.STW.PP.01)
Hypothetical "ether wind" speed vv30 km/s
The speed of light measured in different directions is…
ether wind v
30 km/s
predicted Δ
0.010
measured Δ
0.000
speed of light c
299 792 km/s
🎯 Challenge: ether or SR?
streak: 0

I will give you a statement about measuring the speed of light — classify it: is it an "ether wind" prediction or the null result (SR, c = const)?

What just happened?

The Michelson interferometer splits the beam into two perpendicular arms and recombines them on the screen, where interference fringes appear. We increased the hypothetical "ether wind" vv — and the fringes did not shift. The measurement gave zero.

What the ether predicted:

Δ  ∝  (vc)2\Delta \;\propto\; \left(\dfrac{v}{c}\right)^{2}

If light travelled through a stationary medium (the ether), its speed relative to the Earth would depend on direction, and the time difference between the two arms would give a fringe shift Δ\Delta growing with the speed vv of the "ether wind".

What was actually measured:

Δmeasured=0regardless of v and orientation\Delta_{\text{measured}} = 0 \qquad \text{regardless of } v \text{ and orientation}

The result was zero at every orientation of the instrument. Conclusion: there is no "ether wind", and the speed of light is the same in all directions.

Invariant — the second postulate of SR:

c=constc = \text{const}

The speed of light in a vacuum is constant for every observer, regardless of their motion and the direction of measurement. This is the foundation on which Einstein built special relativity.

Why this matters for your exam:

The Michelson–Morley experiment is the classic "null result" that overturned the ether hypothesis and justified the constancy of the speed of light. Trick: remember the chain — no fringe shift → no ether → c = const → theory of relativity.

Remember: the fringes did not budge despite the "ether wind" — the speed of light is always the same. There is no ether, and c=constc = \text{const} is the starting point of SR.

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Theory & formulas

Aim of the experiment

The Michelson interferometer was meant to detect the Earth's motion relative to a hypothetical "ether" — the medium through which light was supposed to propagate. A difference in the speed of light in different directions (an "ether wind") was expected.

Null result

Despite rotating the apparatus and taking measurements at different times of year, the interference fringes did not shift — no difference in the speed of light was detected. The key relationship is qualitative: the speed of light is the same in all directions, regardless of the observer's motion.

Significance

The result overturned the ether hypothesis and became the basis of the second postulate of special relativity — the constancy of the speed of light cc (Michelson, Nobel 1907).

Frequently asked questions

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What did the Michelson–Morley experiment show?

That the speed of light is the same in all directions — the ether does not exist.

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Why was it a breakthrough?

The null result became the basis of the second postulate of special relativity (the constancy of c).

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What was the ether?

A hypothetical medium through which light was supposed to propagate — refuted by this experiment.

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