Problems with Einstein's general theory of relativity

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The Reutersvärd-Penrose triangle is an example of an "impossible object" – a structure that is locally consistent, but globally pathological. Each corner-piece, and each individual connection between two corner-pieces, is free from errors. However, the overall structure is still contradictory.
Analogous structures can be constructed from mathematics.
Mathematics lets us construct "impossible objects" by combining and interconnecting definitions that are mutually exclusive. In this example, each statement appears compatible with its neighbours, but any pair of statements contradicts the third.
If either Møller's [1] or Schild's [2] arguments are correct, then Einstein's 1916 general theory is an impossible object.
Einstein's "reduction to SR" argument says that zooming in on a region makes the amount of curvature in view decrease and eventually disappear:[3] a relativistic description of the flat region then gives special relativity. But if the region contains a compact gravitational field-source (a massed particle), "zooming" makes the average curvature gets stronger rather than weaker.
Einstein's argument works for regions between massed particles, but fails for regions containing massed particles."Geometrical reduction to SR" fails in the presence of matter.

Although Albert Einstein's general theory of relativity (equations presented in 1915 [4] and published in 1916 [5] ), contains some of the most powerful arguments and concepts ever presented in the history of gravitational theory, some aspects of Einstein's attempted implementation of a general theory have been found to be problematic, with some of the major criticisms coming from Einstein himself.

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  2. ^ Cite error: The named reference Schild1960 was invoked but never defined (see the help page).
  3. ^ Cite error: The named reference :10 was invoked but never defined (see the help page).
  4. ^ Cite error: The named reference :41 was invoked but never defined (see the help page).
  5. ^ Einstein, Albert (11 May 1916). "The Foundation of the General Theory of Relativity". Annalen der Physik. 49: 769–822. doi:10.1002/andp.19163540702.