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Milne's interests were in applied mathematics, in particular he studied astrophysics and the structure of stellar atmospheres. He developed a new form of relativity called kinematic relativity, an alternative to Einstein's general theory of relativity, which met with condiderable opposition.
His books include Thermodynamics of the Stars (1930), Relativity, Gravitation and World-Structure (1935), and Kinematic Relativity (1948).
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