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I said it was a statistical approach, didn't I?
Most of those weak measurements, that I know of at least, build on manipulating statistics. And as statistics never will be the measurement you refer to, writing "if you are measuring (any way) position and momentum at the same time then HUP is there as a limit of certainty." then it has nothing to do with HUP as I see it.
What it has to do with is limiting the 'uncertainty' and looked at that way it's interesting.Here is his (free) publications, so far. Aephraim M. Steinberg.
The following is a modified 'Delayed Choice Quantum Eraser' experiment which is explained by pilot-wave theory, and as far as I know, can not be explained by the Copenhagen interpretation of QM.In the image here: http://en.wikipedia.org/wiki/File:Kim_EtAl_Quantum_Eraser.svg, instead of having a single beam splitter BSc have two beam splitters BSca and BScb. Have the photons reflected by mirror Ma interact with BSca and have the photons reflected by mirror Mb interact with BScb. Do not combine the red and blue paths. Have additional detectors D1a, D2a, D1b, and D2b. Have the photons reflected by and propagate through BSca be detected at D1a and D2a. Have the photons reflected by and propagate through BScb be detected at D1b and D2b. If you compare the photons detected at D1a and (D1b or D2b) with the photons detected at D0, the corresponding photons detected at D0 will form an interference pattern. If you compare the photons detected at D2a and (D1b or D2b) with the photons detected at D0, the corresponding photons detected at D0 will form an interference pattern. What is occurring is all photons of a certain polarization are being detected at one pair of detectors, for example D1a and D1b, and all photons of the opposite polarization are being detected at the other pair of detectors, for example D2a and D2b. Interference patterns do not even need to be created in order to determine the interference patterns created at D0. The interference patterns at D0 are being created regardless of what else occurs in the experiment. What the detection at the other detectors allows for is discerning one interference pattern at D0 from the other.