Experiments directed towards discreteness/continuity

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Kidphysics
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Can be thought or actual experiments in which discreteness or continuity of space is thought to be concluded from the results. I know there is a recent experiment in which people in LQG tried to observe dispersion of gamma rays over large spatial scales, and I am also aware of a proposed idea to hit a crystal at its center of mass and look for "missing energy" something along those lines..
If you know about a paper discussing theoretical or actual experiments directed towards this ambitious endeavor please share as I'd like to start an online collection and post it on my website.
 
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One example of an experiment that has been conducted to observe discreteness or continuity of space is the Cosmic Background Imager (CBI) experiment, which was used to measure the temperature fluctuations of the cosmic microwave background radiation on different angular scales. By doing so, it was possible to detect if there was a preferred scale of discreteness in the structure of the universe, which could indicate a discreteness of space at some level. Another example is the Large Quark-Gluon Collider (LQC) experiment, which was designed to study the properties of quarks and gluons in high energy collisions. By studying the behavior of these particles as they interact and break apart, researchers were able to gain insight into the nature of the space-time continuum and determine whether it exhibits any kind of underlying discreteness. Finally, the Bose-Einstein Condensate (BEC) experiment was a laboratory experiment conducted to observe the behavior of a cloud of extremely cold atoms in a vacuum. By studying the behavior of the atoms, researchers were able to determine whether there was a preferred length scale, which could indicate a discreteness of space.