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Relativistic Time of Arrival

Andreas Ruschhaupt
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Abstract

We propose a covariant algorithm for relativistic ideal measurements and for relativistic continuous measurements, its non-relativistic limit results the algorithm of the Event-Enhanced Quantum Theory. Therefore an additional intrinsic parameter, the proper time, is used. As an application we compute the time of arrival of a particle at a detector and find good agreement between the expected values of the time of arrival for weak detectors and the results of the relativistic point-mechanic over a wide range. For very high momentums there is a small probability for a negative time of arrival, so the expected times are a bit smaller than the results of the relativistic mechanics.

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Andreas Ruschhaupt. 1999-12-13. Relativistic Time of Arrival. https://arxiv.org/abs/quant-ph/9912060

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