Dear Andrej,
I read your essay, filled with the spirit of Cartesian doubt, the spirit of "clarity and distinctness" with great interest. Key concepts in your essay "arrow" - "vector". The vector according to Latin - "carrying". It "exists" and "carrying".
Physics is now in a "crisis of representation and interpretation" (T.Romanovskaya) "crisis understanding", deep methodological crisis that was well said Carlo Rovelli article
SCIENCE IS NOT ABOUT CERTAINTY: A PHILOSOPHY OF PHYSICS:
«This is a standard idea of how science works, which implies that science is about empirical content, the true interesting relevant content of science is its empirical content. Since theories change, the empirical content is the solid part of what science is. Now, there's something disturbing, for me as a theoretical scientist, in all this. I feel that something is missing. Something of the story is missing. I've been asking to myself what is this thing missing? I'm not sure I have the answer, but I want to present some ideas on something else which science is.
This is particularly relevant today in science, and particularly in physics, because if I'm allowed to be polemical, in my field, in fundamental theoretical physics, it is 30 years that we fail. There hasn't been a major success in theoretical physics in the last few decades, after the standard model, somehow. Of course there are ideas. These ideas might turn out to be right. Loop quantum gravity might turn out to be right, or not. String theory might turn out to be right, or not. But we don't know, and for the moment, nature has not said yes in any sense.
I suspect that this might be in part because of the wrong ideas we have about science, and because methodologically we are doing something wrong, at least in theoretical physics, and perhaps also in other sciences. »
The mystery of time (" time's arrow ") can " grab " if uncover the ontological structure of space. "Structure" - a key concept. About understanding well said Gregory Gutner "Event held in grasping structure means understanding" (G.Gutner Ontology mathematical discourse).
Way the captain of the ship one, at Polaris: "grab" structure of "mathematical point" on the basis of ontological unification of matter. Here we can recall the line Henry David Thoreau:
It is by a mathematical point only that we are wise,
as the sailor or the fugitive slave keeps the polestar in his eye;
but that is sufficient guidance for all our life.
We may not arrive at our port within a calculable period,
but we would preserve the true course.
Physics went to a phenomenological way. But when she delved into the matter, where empiricism has stopped working , you need to include a new compass - ontology. That's right, here is necessary to comprehend the eternal eidoses universe , as did Plato , and give them a new interpretation and representation . Expanding the primordial structure of the universe , based on the Logos and its invariants , you can " grab " the nature and essence of the " arrow of time " to answer the question : Who steers Earth's future?
I think you will agree with Alexander Zenkin : «The truth should be drawn and should be presented to" an unlimited circle "of spectators.» (Science counterrevolution in mathematics - Quote from his article in Russian ) .
I invite you to my forum and my essay FQXi Essay 2012-2013.
I wish you good luck!
All the Best,
Vladimir