Preliminary analysis of a recent experiment by F. A. Bovino(7)

2021-04-06 06:50

An analysis is made of the results of a recent polarization correlation experiment by Bovino (unpublished) where about 60,000 data have been obtained. I assume that the state of the photon pairs produced in the source (a non-linear crystal) are in a (sligh

forwhichquantummechanicspredictsasimpleexpression,namelyVcos(2φ),onlyintheidealcase.

Agood tofthedataintoeqs.(10)and(11),withR0andVasfreeparameters,seemstobeanecessaryconditionforthecompatibilityoftheexperimentwithquantummechanics.However,evenifagood tisnotpossi-ble,stilltheexperimentmaybecompatiblewithquantummechanicsbecausethestateproducedinthesourcemaybedi erentfromeq.(3)and/orthereareadditionalnon-idealitiesnotincludedinthepreviousanalysis.Consequentlyprovinganempiricalviolationofquantummechanicsisextremelydi cultorimpossibleinactualexperiments.Similarlyrefutinglocalrealismisimpos-siblewhenevertheglobaldetectione ciencydoesnotsurpasseabout80%,awellknownfact.

Nevertheless,eveniftheBovinoexperiment[6]doesnotallowarigorousdiscriminationbetweenquantummechanicsandlocalrealism,interestinginformationmaybeobtainedbystudyingtheagreement,ordisagreement,ofthedatawithsomesimpleLHVmodelsdepartingbutslightlyfromthequantumpredictionseqs.(6)or(7).Thisstudywouldrequiretode neasimplefamilyofLHVmodelsandto ndwhetherthedataagreewitheitherthequantumpredictionsorthesaidsimpleLHVmodels.ConstructingLHVmodelsappropriateforacomparisonwiththequantumeqs.(6)or(7)isamostinterestingaimforthenearfuture,butfrommyexperienceImayguessthattheresultswillbeasfollows.Themodelpredictionswillbeoftheformgivenbyeq.(37)of[4],thatis(comparewitheqs.(11))

PLHV(φ)=

13π2sin(πη/2)

η22 2η+

cos(2ε)[π 2ε+tan(2ε)]=V(πη/2)2


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