QG2 - Quantum Gravity Phenomenology |
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Speaker |
Castro Ruiz, Esteban |
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Coauthors |
Castro-Ruiz, Esteban; Giacomini, Flaminia; Brukner, Caslav |
| Talk Title |
Entanglement of quantum clocks through gravitational interaction |
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Abstract |
In general relativity, the picture of space-time assigns an ideal clock to each space-time point. Being ideal, gravitational effects due to these clocks are ignored and the flow of time according to one clock is not affected by the presence of surrounding clocks. However, if time is defined operationally, as a pointer position of a physical clock that obeys the laws of quantum mechanics and general relativity, such a picture is at most a convenient fiction. We show that the mass-energy equivalence implies gravitational interaction between the clocks, which necessarily entangles them through time dilation effect and leads to a loss of coherence of a single clock. Hence, the time as measured by a single clock is not well-defined. However, the general relativistic notion of time is recovered in the classical limit of clocks. |
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