Einstein's hypothesis that the speed of light c depends upon the gravitational potential1 leads to considerable difficulties for the principle of relativity, as the discussion between Einstein and Abraham shows us.2 Hence, one is led to ask if it would not be possible to replace Einstein's hypothesis with a different one, which leaves c constant and still adapts the theory of gravitation to the principle of relativity in such a way that gravitational and inertial mass are equal.3 I believe that I have found such a hypothesis, and I will present it in the following.
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Nordström, G. (2007). The Principle of Relativity and Gravitation. In: Janssen, M., Norton, J.D., Renn, J., Sauer, T., Stachel, J. (eds) The Genesis of General Relativity. Boston Studies in the Philosophy of Science, vol 250. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-4000-9_28
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DOI: https://doi.org/10.1007/978-1-4020-4000-9_28
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