Volume 12, Issue 1, pages 462-467
An alternative path toward resolving the challenge of quantizing gravity is explored. Instead of attempting to quantize gravity, Carlip’s suggestion [S. Carlip, \emph{Rep.\ Progr.\ Physics} \emph{64}, 885-942 (2001)] that one might change quantum theory to make it consistent with classical general relativity is here briefly explored. The discussion is based on the correspondence principle, which indicates a direction for the change, namely that the changed quantum theory should be non-linear, but does not indicate in detail how the change is to be made. Published results [e.g., A. O. Barut and J. Kraus, \emph{Found.\ Physics} \textbf{13} 189-194 (1983)] demonstrate that inserting nonlinearity into quantum electrodynamics eliminates the oddity that electromagnetism is quantized while gravity remains classical, namely they explain all second quantization effects via a nonlinear matter wave equation that leaves electromagnetism in its classical non-quantized form.
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