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Gravitational Potential Energy

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Posted by Joseph Roser on March 31, 2001 11:55:34 UTC

The paragraph given herein is derived from Max Born, "Einstein's Theory of Relativity'" Dover Publications, 1962,1965, Chapter VII: Einstein's General Theory of Relativity, sub heading; optical deductions and confirmations. I would add this between paragraphs one and two of my opening statement on violation of energy conservation below if it makes things more clear and if it is indeed valid. Please consider this alone however and any comment you may post will be most welcome. Thank you.

Consider that a nucleus on the surface of a gravitating body holds a fixed position relative to that body. Similarly, over a short distance traveled a nucleus in an accretion disk around a spinning black hole can be considered to be underrgoing centrifugal acceleration about equal to and counter to its free fall geodesic path toward the singularity. For all practical purposes each holds a fixed position nearby and relative to its gravitating mass. In either case a freely falling particle, such as a neutrino, will appear to this nucleus observer as gravitationally blueshifted in energy by the factor (1 + gl/c^2).

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