Peter, this will be my final comment for your essay. I believe you are wrong but don't fret, everyone else who has submitted an essay is probably wrong too. I may give you a restricted vote because your essay is easy to understand and forced me to think deep about the fundamental nature of the universe.
Carlo's response to your comment agrees with me:
[The "atoms of space" and the "atoms of time" of LQG are only figures of language, to indicate that certain physical
observables aspects of the gravitational field have a discrete spectrum.]
An example of an observable is energy and he believes such observables are discrete as I do. Carlo is discussing LQG in his post; I am discussing Planck's century old observation that energy is discrete. My first comment on the uncertainty principle still holds, but it requires esoteric physics. I felt there should be a counter example that matched the elegance of Zeno's paradox.
E = 1/2mV^2 is the kinetic energy equation it is one half of the mass multiplied by the velocity squared. The mass is not changing because the relativistic effects for a classical arrow in flight are negligible. However, just in case you want to push the relativistic energy/mass issue please read this:
http://www.physorg.com/news146415074.html
As Zeno releases the bow string the kinetic energy of the arrow increases as the potential energy in the bow decreases. The increase and decrease in energy is discrete on a fundamental level. The mass in the kinetic energy equation is a constant as is the 1/2 coefficient. The only variable in the equation is the velocity. If the kinetic energy of the arrow is increasing by discrete amounts then the velocity MUST increase by whole amounts too.
I dislike using psychology in physics, but I think it is needed in this case. We have two different frames or mental pictures of how to think about the universe. Last week I came across a TED lecture that shows the different frames we are using.
http://www.ted.com/index.php/talks/lee_smolin_on_science_and_democracy.html
Your frame is four minutes into the video.
Thank you for the essay,
B^2