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Equation 7 · Part 1 · The Bit Comes Back Before the Bearing

Symbol hat J

J^\hat J
J^\hat J

What this part means

hat J 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

hat J 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

g is an angle: dimensionless, periodic, and physically read as “which way the compass points” relative to the hole’s spin axis. J^\hat J carries units of action (joule-seconds), so gJ^\hat J/ℏ\hbar is dimensionless, as an exponent must be. Nothing about this setup is exotic — a large-spin coherent state pointing along a direction is a textbook carrier of exactly this kind of information [ 10 ] .

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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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