A Can we create a random variable using QED effects?

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You CAN violate HUP according to Valentiny, but what I was saying was that you will face another limitation beyond HUP.
I don't think the question of whether this additional Compton wavelength limit applies to Valentini's model is resolvable here, since the model assumes that standard QM can be violated and the Compton wavelength limit is derived from standard QM. Unless Valentini or someone else working with his model has addressed this specific question in a published paper, there's no point in discussing it further.

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