Abstract
We discuss the meaning and prove the accordance of general relativity, wave mechanics, and the quantization of Einstein's gravitation equations themselves. Firstly, we have the problem of the influence of gravitational fields on the de Broglie waves, which influence is in accordance with Eeinstein's weak principle of equivalence and the limitation of measurements given by Heisenberg's uncertainty relations. Secondly, the quantization of the gravitational fields is a “quantization of geometry.” However, classical and quantum gravitation have the same physical meaning according to limitations of measurements given by Einstein's strong principle of equivalence and the Heisenberg uncertainties for the mechanics of test bodies.
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v. Borzeszkowski, H.H., Treder, H.J. Quantum theory and Einstein's general relativity. Found Phys 12, 1113–1129 (1982). https://doi.org/10.1007/BF01300549
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DOI: https://doi.org/10.1007/BF01300549