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Equation 77 · A Horizon Is a Toll Booth, Not a Loophole

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N⊥[Γ]N_\perp[\Gamma]

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N⊥N_\perp

Symbol N_perp

NpN_perp is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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Γ\Gamma

Symbol Gamma

Gamma is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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What the article says around this equation

The static case is not the only way to be near a horizon, and the dossier’s second known limit says free fall is locally ordinary: a processor in free fall feels no proper acceleration at all, by the equivalence principle, and N⊥N_\perp[Γ\Gamma] evaluated along a free-fall worldline reduces to the same flat-space Levitin-Toffoli rate a laboratory bench would deliver, with no support-energy penalty whatsoever. That looks, briefly, like a genuine route back to a subsidy: fall past the horizon in free fall, compute at the ordinary flat-space rate the whole way, and let the distant observer’s coordinate time stretch out however it likes while never paying a support bill.

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