Abstract

The history of the idea of variation of frequency with velocity is followed through Voigt, Larmor, Lorentz, and Einstein. The Michelson-Morley experiment is explainable by any contraction of dimensions in the ratio ${(1-{\upsilon }^2/c^2)}^{\frac{1}{2}}:1$ along and transverse to the direction of motion. To each contraction corresponds a different value of frequency change. The theoretical speculations pointing to the relation ${\nu }_m={\nu }_0{(1-{\upsilon }^2/c^2)}^{\frac{1}{2}}$ are discussed, together with the significance of the experimental test by means of canal rays.

© 1947 Optical Society of America

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