Equation 26 · Part 1 · A Horizon Is a Toll Booth, Not a Loophole

Symbol Gamma

\Gamma

\Gamma

What this part means

Gamma 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

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

Full expressionSymbol GammaArticle meaning

The passage around this formula

…spacetime together with a stated local energy convention; because the integrand is an energy and d $\tau$ is a time, the integral has action units and $N_\perp$ is dimensionless. It is invariant under reparametrizing $\Gamma$ ’s own curve parameter, since only proper time enters, and invariant under any passive coordinate change of the ambient spacetime, since both d $\tau$ and a comoving-frame energy are scalars. It is not invariant under boosting the local tetrad used to evaluate $\langle$ H( $\tau$ ) $\rangle$ — a…

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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 article section

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