Let me try this again, as an engineer that I am, and not as a theoretical mathematician.
Often, in engineering, in complex engineering, the solution path to evaluating a question requires an analysis that removes dimensions from the question. Examples include analysis of air flow around and against an an air foil; mass transport [or heat] with some given initial conditions. Variations of those solution paths include using transforms, or dimensionless variables [for example, like the Reynolds number in wing design...]
As I see it, and perhaps this is the preliminary question...., P vs NP asks if something can be accomplished given enough time, given that there are solution 'spaces' [ie, solution paths] along which a forensic mathematician might move, one or more of which may end up with a solution.
So, in this context, I ask this, again: Why doesn't the analysis of the question, P vs NP, deserve a look which undertakes a transform that removes time as a variable. Or, alternatively or in the conjunctive, transforms the space.