Born's rule from measurements of classical signals by threshold detectors which are properly calibrated

Abstract

The very old problem of the statistical content of quantum mechanics (QM) is studied in a novel framework. The Born's rule (one of the basic postulates of QM) is derived from theory of classical random signals. We present a measurement scheme which transforms continuous signals into discrete clicks and reproduces the Born's rule. This is the sheme of threshold type detection. Calibration of detectors plays a crucial role.

The problem of double clicks is resolved; hence, one can proceed in purely wave framework, i.e., the wave-partcile duality has been resolved in favor of the wave picture of prequantum reality

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Cited by in corpus (5)

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• Timelessness strictly inside the Quantum Realm
• Born's rule from statistical mechanics of classical fields: from hitting times to quantum probabilities
• Outline of a Generalization and a Reinterpretation of Quantum Mechanics Recovering Objectivity
• A survey of the ESR model for an objective reinterpretation of quantum mechanics