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A previous paper demonstrated that two local, realistic models based onMarkov Random Fields (MRF) across space time do replicate the correct, testedpredictions of quantum mechanics for simple Bell Theorem experiments. Thispaper demonstrates a third such model, MRF3, which is more plausiblephysically, making contact with the physics of polarizers. It shows how totranslate that type of model into an equivalent quantum mechanical model, whichrequires an augmentation to the usual measurement operator now used torepresent polarizers in such experiments. The validity of that augmentation maybe testable in experiments involving three or four photons, with relevance toquantum computing and communication.

Local Realistic Model of Bell Theorem Experiment and Alternative Model of Quantum Measurement