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Equation 61 · Part 3 · A Horizon Is a Toll Booth, Not a Loophole

Symbol G

r→rs=2GM/c2r\to r_s=2GM/c^2
GG

What this part means

G is an input to the expression that computes the quantity on the left.

Its job in the formula

G is an input to the expression that computes the quantity on the left.

The passage around this formula

As r→\to rsr_s=2GM/c2c^2 , f→\to0 and a(r)→\to∞\infty : holding station arbitrarily close to a horizon costs arbitrarily large continuous thrust, sourced from arbitrarily large continuous energy expenditure, which is exactly the situation Unruh’s original analysis and the long literature it produced treat as the flip side of a diverging local temperature for an accelerated or static near-horizon observer [ 9 , 12 ] .

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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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