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Equation 136 · Part 2 · The Bit Comes Back Before the Bearing

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ΔtLG\Delta t_{LG}
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What this part means

Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.

Its job in the formula

Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.

The passage around this formula

That reversal is the honest kill criterion for the headline claim. Δ\Delta tLGt_{LG} does not vanish under fair resource matching — both thresholds are built from the same radiation, collected by the same observer, under the same scrambling dynamics — so it is not a decoder artifact in that sense. It does, however, depend on a joint choice of ϵ\epsilon and δ\delta that this article has no privileged way to fix, and for a sufficiently coarse compass paired with a sufficiently strict qubit fidelity, the ordering in the title simply does not hold. The correct statement is conditional: for comparably stringent, no-external-frame tolerances on both sides, an old black hole returns an anonymous qubit…

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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.