But the problem runs deeper than that. If we draw an arrow in the direction of the deterministic function, we will be drawing an arrow of time from the more refined version of the structure to the coarser version of that structure, which is in the opposite direction of all of our examples.
As I currently understand this after thinking about it for a bit, we are talking about the coarseness of the model from the perspective of the model in the timeframe that it is in and not the time frame that we are in. It would make sense for our predictions of the model to become more coarse with each step forward in time if we are predicting it from a certain time into the future time-space. I don’t know if this makes sense but I would be grateful for a clarification!
As I currently understand this after thinking about it for a bit, we are talking about the coarseness of the model from the perspective of the model in the timeframe that it is in and not the time frame that we are in. It would make sense for our predictions of the model to become more coarse with each step forward in time if we are predicting it from a certain time into the future time-space. I don’t know if this makes sense but I would be grateful for a clarification!