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Equation 2 · 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

…altitude near a black hole’s horizon runs slow. Not metaphorically: its proper time τ\tau , the time its own internal clock and its own quantum gates actually tick through, elapses more slowly than the coordinate time t used by a bookkeeper stationed far away, by the ordinary gravitational redshift factor f(r)\sqrt{f(r)} . A distant observer watching that processor through a telescope sees every one of its gates run in slow motion. Turn the statement around, though, and something more interesting appears to fall…

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Learn the underlying idea

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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