THE ACTION UNCERTAINTY PRINCIPLE AND QUANTUM-GRAVITY

Results of the path-integral approach to the quantum theory of continuous measurements have been formulated in a preceding paper in the form of an inequality of the type of the uncertainty principle. The new inequality was called the action uncertainty principle, AUP. It was shown that the AUP allows one to find in a simple way what outputs of the continuous measurement will occur with high probability. Here a more simple form of the AUP will be formulated, delta-S greater-than-or-similar-to hBAR. When applied to quantum gravity, it leads in a very simple way to the Rosenfeld inequality for measurability of the average curvature.