Semi-classical limit and minimum decoherence in the Conditional Probability Interpretation of Quantum Mechanics

Abstract

The Conditional Probability Interpretation of Quantum Mechanics replaces the abstract notion of time used in standard Quantum Mechanics by the time that can be read off from a physical clock. The use of physical clocks leads to apparent non-unitary and decoherence. Here we show that a close approximation to standard Quantum Mechanics can be recovered from conditional Quantum Mechanics for semi-classical clocks, and we use these clocks to compute the minimum decoherence predicted by the Conditional Probability Interpretation.

8 pages, references added

References in corpus (4)

• A relational solution to the problem of time in quantum mechanics and quantum gravity induces a fundamental mechanism for quantum decoherence
• Relational physics with real rods and clocks and the measurement problem of quantum mechanics
• Limitation to Quantum Measurements of Spacetime Distances
• Loss of entanglement in quantum mechanics due to the use of realistic measuring rods

Cited by in corpus (5)

• Quantizing time: Interacting clocks and systems
• Equivalence of approaches to relational quantum dynamics in relativistic settings
• Unification of the conditional probability and semiclassical interpretations for the problem of time in quantum theory
• Realistic clocks for a Universe without time
• Requiem for an ideal clock