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Temporal Ordering in Quantum Mechanics
Quantum Physics · Submitted 29 Mar 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In quantum mechanics, we find that diffraction effects introduce a minimum inaccuracy to which the temporal order-of-arrival can be determined unambiguously.
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The abstract, sentence by sentence
We examine the measurability of the temporal ordering of two events, as well as event coincidences. In classical mechanics, a measurement of the order-of-arrival of two particles is shown to be equivalent to a measurement involving only one particle (in higher dimensions). In quantum mechanics, we find that diffraction effects introduce a minimum inaccuracy to which the temporal order-of-arrival can be determined unambiguously. The minimum inaccuracy of the measurement is given by dt=1/E where E is the total kinetic energy of the two particles. Similar restrictions apply to the case of coincidence measurements. We show that these limitations are much weaker than limitations on measuring the time-of-arrival of a particle to a fixed location.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We examine the measurability of the temporal ordering of two events, as well as event coincidences. | contribution 0.89 | 0.77 | 0.06 | unclear 0.58 |
| s1 | In classical mechanics, a measurement of the order-of-arrival of two particles is shown to be equivalent to a measurement involving only one particle (in higher dimensions). | result 0.57 | 0.66 | 0.07 | asserted 1.00 |
| s2 | In quantum mechanics, we find that diffraction effects introduce a minimum inaccuracy to which the temporal order-of-arrival can be determined unambiguously. | result 0.99 | 0.91 | 0.41 | asserted 1.00 |
| s3 | The minimum inaccuracy of the measurement is given by dt=1/E where E is the total kinetic energy of the two particles. | result 1.00 | 0.87 | 0.41 | asserted 1.00 |
| s4 | Similar restrictions apply to the case of coincidence measurements. | result 0.96 | 0.69 | 0.07 | asserted 0.93 |
| s5 | We show that these limitations are much weaker than limitations on measuring the time-of-arrival of a particle to a fixed location. | result 0.55 | 0.90 | 0.36 | asserted 1.00 |
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Original abstract
We examine the measurability of the temporal ordering of two events, as well as event coincidences. In classical mechanics, a measurement of the order-of-arrival of two particles is shown to be equivalent to a measurement involving only one particle (in higher dimensions). In quantum mechanics, we find that diffraction effects introduce a minimum inaccuracy to which the temporal order-of-arrival can be determined unambiguously. The minimum inaccuracy of the measurement is given by dt=1/E where E is the total kinetic energy of the two particles. Similar restrictions apply to the case of coincidence measurements. We show that these limitations are much weaker than limitations on measuring the time-of-arrival of a particle to a fixed location.
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Quantum Time · Quantum Mechanics · 0.98
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