The double-slit experiment is a classic experiment in quantum physics that demonstrates the wave-particle duality of particles, such as electrons or photons. It does not directly expose the wave nature of spacetime.
In the double-slit experiment, particles are directed towards a barrier with two slits. When the particles pass through the slits and hit a screen behind the barrier, an interference pattern emerges, similar to the pattern created by overlapping waves. This interference pattern suggests that the particles exhibit wave-like behavior.
The key point here is that the experiment demonstrates the wave-like behavior of particles, not the wave nature of spacetime itself. The wave-particle duality refers to the fact that particles can exhibit both particle-like and wave-like properties depending on how they are observed or measured.
The concept of spacetime in physics is related to the framework of general relativity, which describes gravity as the curvature of spacetime. While quantum mechanics and general relativity are both fundamental theories of physics, they are currently not fully reconciled into a single theory. The wave nature of spacetime, if it exists, would likely be explored within a theory that unifies quantum mechanics and general relativity, such as a theory of quantum gravity. However, a complete theory of quantum gravity is still an active area of research and remains to be fully developed and experimentally tested.