Testing Two-Dimensional Time by Michael Alekseevich Popov

It seems to me that yours is one of the "local hidden variables" variations. In your case, strategies are the local hidden variables. As said in Wikipedia

"One apparent way to explain found correlations in line with the predictions of quantum entanglement is an approach known as "local hidden variable theory", in which unknown, shared, local parameters would cause the correlations. However, in 1964 John Stewart Bell derived an upper limit, known as Bell's inequality, on the strength of correlations for any theory obeying "local realism." Quantum entanglement can lead to stronger correlations that violate this limit, so that quantum entanglement is experimentally distinguishable from a broad class of local hidden-variable theories."

Hello Dr Popov

i may be mistaken, but what you are looking at here appears similar in some respects to Gilles Brassard's (http://www.iro.umontreal.ca/~brassard/) 'Quantum Pseudo-Telepathy' game. ( http://www.springerlink.com/content/7w061h21v1326u8r/fulltext.pdf )

which yields a winning strategy for two quantum entangled players with no data communication resulting in a 59% overall 'hit' rate in 1,000 trials, in classical terms, expecting a 50% 'hit' rate, that's odds against chance of 225 million to one. (this project remains conceptual at this time)

an example of quantum entanglement leading to stronger correlations in violation of Bell's limit as mentioned above by Mr. Venerando.

it may be of interest you.

thank you for your paper,

matt kolasinski

Dear Dr. Popov,

Very interesting essay, bringing the Pauli effect into discussion, under a new perspective on time.

Best wishes,

Cristi Stoica

"Flowing with a Frozen River",

http://fqxi.org/community/forum/topic/322

In accordance with commentaries I'd like to make some refinements.

1.Speaking generally, Oxford game is based on two empirical rules: every Friday and Sat the presence of player A at the area of "Top Shelf" and around (so-called "Red Square") produced always(!)at least, during 2007-2008 similar very positive trend of sales at this area;and, correspondingly, every Fri and Sat the absence of player A at the area of Top Shelf and around profuced negative trend of sales in the Square of supermarket. Because any counter-example was not found during 2007-2008, Oxford game became real mystery for Tesco stuff and customers.

2. Online sales are connected statistically with the sales at area of Top Shelf, however, technically it is not always possible to realize and to prove such sort of quantum-like correlation .

3. Thus, in the case of statistics of the sales from area of Top Shelf we have indeed quantum-like winning strategy (100%),but not in online sales. This fact can be used to deny all Oxford game, all statistics, an existence of Top Shelf and "Red Square".

4, Magic perfect correlation between location of player A and synchronous trend of sales was an object re-examination of Human rights activists, shoppers and probably some goverment organizations. They tried to abolish experiment, but his profitability was serious counter-argument.

5. Presently,I made decision to stop experiment becuase I faced with strong pressure of public opinion in Oxford.

6. My general lesson is: we can play macroscopic quantum-like games, but such technology of power is very advanced for public opinion and popular culture. Quantum games today can produce unexpected psychological consequances of the global character, indeed. Hence, I suppose we can play quantum macroscopic games only in reduced or soft version in laboratory only.

Presently, I try to find a way to reproduce Oxford game in laboratory.