The mathematical development of non-Euclidean geometry required for Einstein's general relativity took place over the previous century and really changed people

The mathematical development of non-Euclidean geometry required for Einstein's general relativity took place over the previous century and really changed people's thinking. From Poincare 1905, chapter on non-Eucliden space, the conclusion was then: > "In other words, the axioms of geometry (I do not speak of those of arithmetic) are only definitions in disguise. What, then, are we to think of the question: Is Euclidean geometry true? It has no meaning. We might as well ask if the metric system is true, and if the old weights and measures are false; if Cartesian co-ordinates are true and polar co-ordinates false. One geometry cannot be more true than another; it can only be more convenient." https://www.gutenberg.org/files/37157/37157-pdf.pdf https://www.gutenberg.org/files/37157/37157-pdf.pdf Prior to those developments by Riemann etc., people like Kant claimed space was flat, as there was no other possible mathematically consistent geometrical option: https://www.ln.edu.hk/philoso/staff/sesardic/Kant.html https://www.ln.edu.hk/philoso/staff/sesardic/Kant.html This is all comparable to a quote in the posted article: > "But. There are many different ways to resolve an inconsistency because there are many different assumptions you can throw out. And this means there are many possible solutions to the problem which are mathematically correct. But only one of them will be correct in the sense of describing what indeed happens in nature. Physics isn’t math. Mathematics is a great tool, but in the end you have to make an actual measurement to see what happens in reality." It would seem, then, that the study of black hole information loss is more in the area of mathematics at present then it is in physics, much as is the case with string theory (for which Fields Medals have been awarded, but not Nobel Prizes in Physics). It might however go the way of non-Euclidean geometry and Einstein's general relativity at some point in the future.