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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Equation 86 · 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 […
Equation guide → · Article →Equation 90 · 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.
It is not a loophole, for two reasons that both belong to this article’s ledger rather than to new physics. First, the energy extracted is drawn from a real, finite, globally tracked reservoir — the hole’s irreducible mass sets a hard ceiling on how much rotational energy any sequence of Penrose processes can ever remove, so “free” energy here means “energy billed to the hole’s own account,” not energy created from nothing. This is the same accounting that guarantees the hole’s horizon area cannot decrease in the process: every joule of rotational energy successfully extracted lowers the spin without lowering the irreducible mass below the value the area theorem permits, so the ledger…
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