Symbol hat g
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The shape difference between these two promises is the entire point of separating them. is bounded in [0,1] and can, in principle, hit its floor abruptly once decoupling sets in. has no upper bound and shrinks only as fast as grows, which — as the next two sections show — need not be abrupt at all. A reader who asks “has the black hole given it back?” is asking two different kinds of question depending on which object they mean, and conflating them is precisely the failure mode this construction is built to prevent.
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Equation 47 · Evolutionary Physics
The Bit Comes Back Before the Bearing
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
The shape difference between these two promises is the entire point of separating them. is bounded in [0,1] and can, in principle, hit its floor abruptly once decoupling sets in. has no upper bound and shrinks only as fast as grows, which — as the next two sections show — need not be abrupt at all. A reader who asks “has the black hole given it back?” is asking two different kinds of question depending on which object they mean, and conflating them is precisely the failure mode this construction is built to prevent.
Equation guide → · Article →Equation 135 · Evolutionary Physics
The Bit Comes Back Before the Bearing
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
A third, more uncomfortable check is what the toy model of the previous section actually implies at the numbers already computed: 3.5\, , or / 28.2 , for the solar-mass hole above. Taking = 1 as an illustrative, explicitly assumed per-quantum information content, a modest tolerance = 0.1\, (about six degrees) gives / = 100 , so 12.4\, and +8.9\, : the compass is the slower debt, as the title claims. But a coarser tolerance, = 0.5\, (about twenty-nine degrees), gives / = 4 , so 0.50\, and …
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