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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.

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See en.wikipedia.org/wiki/PSPACE – TonyK Aug 18 2010 at 12:37
Deolalikar's paper attempted to use the characterization P = FO(LFP), and FO(LFP) is defined without the concept of time. – Ricky Demer Aug 18 2010 at 12:53
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You should edit your previous question mathoverflow.net/questions/35810/… and flag for reopening instead of starting a new question. – Rasmus Aug 18 2010 at 13:10
I distinguish, in my mind, between, solving without using the concept of time, to undertaking an actual transform. – John Ruskin Aug 18 2010 at 13:17

closed as not a real question by Robin Chapman, Felipe Voloch, Gjergji Zaimi, Andy Putman, Victor Protsak Aug 18 2010 at 15:07

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