Equation 21 · Part 8 · No Particle Without a Cosigner

Numerator: mathcal F_x(Omega)

p_x(\Omega) = \frac{\mathcal F_x(\Omega)}{\displaystyle\int_0^\infty \mathcal F_x(\Omega')\, d\Omega'}, \qquad \Omega > 0,

\mathcal F_x(\Omega)

What this part means

The complete quantity above the fraction bar.

Its job in the formula

mathcal $F_x(Omega)$ occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Full expressionNumerator: mathcal F_x(Omega)Article meaning

The passage around this formula

$\mathcal F_x(\Omega)$ , viewed as a function of $\Omega$ for fixed everything else, has a natural reading as a spectrum: it says how much excitation probability accumulates at each possible gap, for a whole notional bank of detectors sharing one trajectory, one switching profile, and one field state,…

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

Open the illustrated fractions: division written vertically guide →

Sources cited in the article section

[9] Asymptotic States of Accelerated Detectors and Universality of the Unruh Effect ↗

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