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Equation 86 · Part 2 · A Horizon Is a Toll Booth, Not a Loophole

√

f\sqrt f
√

What this part means

Take a square root.

Its job in the formula

Take a square root.

The passage around this formula

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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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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