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The exact floor for realistic detectors is not established.","posed_since":"2012","precise":"Derive the Cramer-Rao lower bound (the minimum variance any unbiased estimator can reach) on timing precision for a scintillation detector including non-exponential rise and decay, position-dependent light transport inside the crystal, photodetector single-photon time response and dark counts, and construct an estimator reaching it. An answer is the bound as a function of photon yield, rise time, decay time and transit-time spread, plus a realizable estimator.","problem_ref":null,"references":"","settled_by":"A derivation with an estimator demonstrated in simulation and on bench data to approach the bound.","status_note":"Bounds exist for simplified emission models since Seifert, van Dam and Schaart (2012); the realistic transport case was not closed as of 2025.","title":"Fundamental bound on scintillation 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