Question

Wave-functions in strong gravitational fields?

Answer 1

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Gravitational waves are disturbances in the fabric ("curvature") of spacetime, generated by accelerated masses, that propagate as waves outward from their source at the speed of light. They were first proposed by Henri Poincaré in 1905[1] and subsequentlypredicted in 1916[2][3] by Albert Einstein on the basis of his general theory of relativity.[4][5]Gravitational waves transport energy as gravitational radiation, a form of radiant energy similar to electromagnetic radiation.[6]Newton's law of universal gravitation, part of classical mechanics, does not provide for their existence, since that law is predicated on the assumption that physical interactions propagate instantaneously (at infinite speed)—showing one of the ways the methods of classical physics are unable to explain phenomena associated with relativity.

Gravitational-wave astronomy is a branch of observational astronomy that uses gravitational waves to collect observational data about sources of detectable gravitational waves such as binary star systems composed of white dwarfs, neutron stars, and black holes; and events such as supernovae, and the formation of the early universe shortly after the Big Bang.

Answer 2

According to Frederic Schuller's lecture series on Youtube, when fitting the idea of the wave function to a manifold, it should more correctly be implemented as a section of the CC-bundle over the manifold, the main difference being that in the "classical" view (if you will excuse the label), ΨΨmaps R4R4 to the same copy of CC, whereas in the manifold implementation, each point in space-time maps into a 'private' copy of CC. In weak gravity, this doesn't give rise to measurable effects - the bundle is locally trivial, and when gravity is weak, the two methods approach each other over large volumes of space-time.