Equation 56 · A Horizon Is a Toll Booth, Not a Loophole
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Symbol N_perp
erp is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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
Nothing about this identity is a new conservation law, and it should not be oversold as one. It is the same discipline that already governs any energy-conversion bookkeeping in general relativity — the reason, for instance, that a photon climbing out of a well arrives redshifted by exactly the factor it was blueshifted falling in, with no leftover to spend — applied here to a resource, orthogonalization count, that is not itself an energy but is built multiplicatively from one. The identity is a consistency check on the definition of [] , confirming the object was built correctly, not a physical discovery in its own right. The physical content of this article is entirely in the…
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Nothing about this identity is a new conservation law, and it should not be oversold as one. It is the same discipline that already governs any energy-conversion bookkeeping in general relativity — the reason, for instance, that a photon climbing out of a well arrives redshifted by exactly the factor it was blueshifted falling in, with no leftover to spend — applied here to a resource, orthogonalization count, that is not itself an energy but is built multiplicatively from one. The identity is a consistency check on the definition of [] , confirming the object was built correctly, not a physical discovery in its own right. The physical content of this article is entirely in the next two sections, where the actual, non-bookkeeping costs of getting near a horizon at all are priced against a currency this identity has now fixed unambiguously.
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