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One must first ask the right questions?..can a three-dimensional particle, transmute to a two-dimensional space, still exist as an observable? Just as an observable god A,within a Universe, cannot be sure of an un-observable god B external to the observable Universe A?
2-Dimensional Quantum Mechanics, exist, (unobservable), within 3-dimensional Relative space-times. XYZ becomes XY-YZ-XZ..ETC..ETC, QM loses a factor of observation..or information loss?
You cannot expect to make a measuring device, if the devise itself loses an observational contributing factor?
Can you really infer 3-D bits, can exist within 2-D waves?