maybe it is important to consider this general principle about the motions, positionsand time.
Heisenberg would tell us that indeterminacies and uncertainties are like limitations due to our lack of fundamental knowledge on several scales involving non-computability, undecidability and unpredictability, Hilbert would agree on the subject of quantum movements and their positions. Although Borh and Einstein discussed it with a deep philosophical analysis, it is obvious that these limitations are to be taken into account in general.
The most important thing is to see why there is no operator commutativity, the geometric Lie algebras are relevant like the exceptional group E8 but the problem is that many consider the tensors and operators purely linked with a field or string origin or geometrodynamics with points, the coded particles seem the solution and the particle wave duality is also respected, the fundamental problem is really philosophical about mainly the origin of this universe creating topologies, geometries, materials and fields and fundamental objects.
Observations, operators, commutativity and time, energy, matter? the goal is to find the real harmonic universal partition, and the logical redundancies.
Regards