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Equation 71 · Part 5 · A Horizon Is a Toll Booth, Not a Loophole

Symbol M

TH=ℏc3/(8πGMkB)≈1.5×10−14 KT_H=\hbar c^3/(8\pi GMk_B)\approx1.5\times10^{-14}\,\mathrm K
MM

What this part means

M is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

M is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

…[ 11 ] . Setting TlocT_{\rm loc} equal to a demanding but realistic dilution-refrigerator base temperature of 10\,mK\mathrm{mK} and solving for the required clearance gives Δ\Delta r≈\approx2.8×\times10^{-14}\,m\mathrm m — a few nuclear radii from the horizon. For a supermassive hole, in other words, the ambient Hawking bath stays colder than any laboratory cryostat until the processor is closer to the horizon than an atomic nucleus, twenty-odd orders of magnitude closer than the point at which the…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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