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In the 20th century, special relativity was created by Albert Einstein to solve the apparent conflict between electrodynamics and the principle of relativity.
The theory's geometrical simplicity was persuasive, and the majority of scientists accepted relativity by 1911.
However, a few scientists rejected the second basic postulate of relativity: the constancy of the speed of light in all inertial frames.
So different types of emission theories were proposed where the speed of light depends on the velocity of the source, and the Galilean transformation is used instead of the Lorentz transformation.
All of them can explain the negative outcome of the Michelson-Morley experiment, since the speed of light is constant with respect to the interferometer in all frames of reference.
Some of those theories were:

1.833 seconds.