Symbol f
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Tidal disruption is not the only way gravity threatens the register’s own coherence, and a second mechanism deserves naming because it applies even where tidal stress is negligible. Pikovski, Zych, Costa, and Brukner showed that ordinary gravitational time dilation, entirely apart from any external environment, decoheres a composite quantum system that carries internal energy: because proper time itself runs at a rate set by height, a spatial superposition of such a system becomes correlated with which branch has ticked through more proper time, and that correlation decoheres the superposition at a rate fixed by the local gravitational gradient and the system’s own internal energy spread […
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Symbol r
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Equation 85 · Evolutionary Physics
A Horizon Is a Toll Booth, Not a Loophole
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Tidal disruption is not the only way gravity threatens the register’s own coherence, and a second mechanism deserves naming because it applies even where tidal stress is negligible. Pikovski, Zych, Costa, and Brukner showed that ordinary gravitational time dilation, entirely apart from any external environment, decoheres a composite quantum system that carries internal energy: because proper time itself runs at a rate set by height, a spatial superposition of such a system becomes correlated with which branch has ticked through more proper time, and that correlation decoheres the superposition at a rate fixed by the local gravitational gradient and the system’s own internal energy spread […
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