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Equation 92 · Part 1 · A Horizon Is a Toll Booth, Not a Loophole

Symbol T

TT
TT

What this part means

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

Its job in the formula

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

The passage around this formula

…Reading out a result, however, generally requires erasing or resetting some register, and that step is bound by a different and independent piece of physics, Landauer’s principle: erasing one bit at local temperature T costs at least kBk_BTln⁡\ln2 of dissipated heat [ 6 ] , made precise with finite-size corrections by Reeb and Wolf [ 7 ] . This bound does not care about horizons at all except through whatever value T takes locally — which, per the cooling analysis above, only becomes horizon-dominated at the…

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