Jason Mark Wolfe replied on Jul. 15, 2014 @ 08:12 GMT "it sounds like it's saying there is a field source that can transition a quantum system from a set of states |A> to another set of states |B>. But you want to interpret gravity as a quantum action? Is that correct?"
Okay, first of all, do you understand action? Then do you understand the difference between gravity action and quantum action? The universe is full of strange and mystical things and the mathematics of the universe is the most mystical of all mysticisms.
Action is a term that describes how objects move around in space over time, but action can equivalently describe how objects change their matter over time as well. Since a change in velocity is equivalent to a change in mass, changes in object masses also describe their motions in space.
Currently science uses two somewhat inconsistent actions to predict the futures of objects in time, gravity and quantum, but the eventual goal of science is to describe all action as quantum. Quantum action is largely about the behavior of microscopic matter and is much less intuitive than gravity action at all scales.
Quantum action depends on matter or mass as well as on something called phase and coherence. The interference effects of light are due to light's phase as well as light's amplitude and so light gives us polarization and partial reflection. Yet these coherent effects occur to some extent for all objects of matter, not just for light.
Quantum action is often called odd although its application has been extraordinarily successful for all predictions of action. However, quantum predictions are always probabilistic and uncertain and sometimes matter waves show correlated or coherent effects that even entangle different locations in space. Even for a highly local matter wave there is still some quantum uncertainty, which bothers many people, and so when that quantum uncertainty involves locations across the universe, people get even more uncomfortable.
The basic equation of quantum action is the Schrödinger equation, but it is not clear that you are ready for differential equations. You are more into intuition and reasoning. Suffice it to say that quantum action always has finite steps or states in all motion and all bonding. Currently, the gravity action of general relativity is continuous and that simply is incompatible with quantum action.
Science knows that this is a problem but has been unable to come up with a unified theory. This is very disappointing to me and science should have solved this many years ago.