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Equation 5 · Part 1 · A Horizon Is a Toll Booth, Not a Loophole

Symbol τ

τ\tau
τ\tau

What this part means

τ 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

τ 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

No question about a “computational advantage” is well posed until an actor states which clock it is asking about and which currency it is spending. Three candidate rates exist, and they are not interchangeable: operations per unit of the processor’s own proper time τ\tau ; operations per unit of the distant bookkeeper’s coordinate time t ; and operations per unit of energy actually invested, measured in whichever frame that energy was paid from. A fourth candidate, operations per bit irreversibly erased, belongs to Landauer’s accounting rather than to the quantum speed limit and is treated separately near the end of this piece [ 6 ] .

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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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Sources cited in the surrounding passage

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