$$u \equiv c\Omega/a$$

Equation 73 · Evolutionary Physics

No Particle Without a Cosigner

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Write the normalized accelerated spectrum in terms of the dimensionless ratio u $\equiv$ c$\Omega$/a , using the exact Bose-Einstein shape derived above. Carrying out the normalization integral, $\int_0^\infty$ $\Omega$\,($e^{2\pi c\Omega/a}$-1)^{-1}\,d$\Omega$ = $a^2$/(24$c^2$) , using the standard result $\int_0^\infty$ x($e^x$-1)^{-1}dx=$\pi^2$/6 , gives the scale-family form

Meanings in this article

• $u$: exactly twice that maximum.

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