https://phys.org/news/2019-09-quantum-entitled-facts.html This work just barely touches the tip of the iceberg, but it can theoretically reconcile the Quantum Observer Effect with the Simultaneity Paradox of Relativity, and be used to prove they are both metaphysical extremes that are excluded in a singularity. Although we are separate and distinct from the world around us, it can be considered a sort of illusion of scale and magnitudes that falls apart in extreme situations, such as a black hole. That's not exactly what they are looking for, but they are probably using classical mathematics and have to resort to metaphysical crutches. For example, in the four way conversation they propose, you can introduce data randomly, with none of the observers being able to determine definitively what is random and what is not. By knocking that one metaphysical crutch out from under them, leaving all four observers unable to determine exactly what is genuine information and what is random, both energy and information become conflated making it easier to occupy the lowest possible energy state. It would mean they have to collectively decide what is information and what is noise and, for all practical purposes, noise can be defined as energy, because you have to pay to distinguish it from information. The observers could use four overlapping types of fuzzy logic, with different modifications to the principle of identity, to clean up the noise the most efficiently, and occupy the lowest possible energy state, which can leap into any higher energy state the fastest. The ability to leap into a higher energy state the fastest means they can correct their own errors faster, while their overlapping fuzzy logics allow them to also return to the lowest possible energy with the least amount of energy expended.