The concept that space-time may emerge from a more fundamental framework is an active area of research in theoretical physics. While there is ongoing theoretical work and speculation on this topic, it's important to note that definitive experimental proof regarding the emergence of space-time is still an open question. At present, there is no direct experimental evidence that conclusively demonstrates the emergence of space-time from a more fundamental structure in quantum physics.
That being said, there are some theoretical ideas and experiments related to quantum gravity and holography that provide intriguing hints or indirect indications of the emergent nature of space-time. These ideas are still being explored and refined, and their experimental verification remains a challenge.
One prominent theoretical framework is the AdS/CFT correspondence or gauge/gravity duality, which relates certain theories of gravity in a higher-dimensional anti-de Sitter (AdS) space to lower-dimensional conformal field theories (CFT) without gravity. This duality suggests that gravity in the higher-dimensional space can emerge from the non-gravitational description of the lower-dimensional system.
Experimental verification of these ideas is challenging because they involve extremely high energy scales and the study of quantum gravity, which is currently beyond the reach of our experimental capabilities. Furthermore, the experimental verification of the emergence of space-time would likely require probing the Planck scale, which is far beyond the energies achievable in current experiments.
It's worth emphasizing that the nature of space-time and its emergence from more fundamental principles is an active area of research and remains a subject of ongoing investigation and theoretical speculation. While there are intriguing ideas and some experimental approaches related to this topic, further progress and breakthroughs are needed to provide conclusive experimental evidence.