Equation 103 · Part 1 · No Particle Without a Cosigner

Symbol r

r

r

What this part means

the radius.

Its job in the formula

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

Full expressionSymbol rArticle meaning

Where the article explains it

Electrons circulating in a storage ring undergo enormous proper acceleration — for an ultra-relativistic beam of Lorentz factor $\gamma$ on a ring of radius r , the proper centripetal acceleration is a $\approx$ $\gamma^2$ $c^2$ /r .

The passage around this formula

Electrons circulating in a storage ring undergo enormous proper acceleration — for an ultra-relativistic beam of Lorentz factor $\gamma$ on a ring of radius r , the proper centripetal acceleration is a $\approx$ $\gamma^2$ $c^2$ /r . For beam parameters typical of a large electron-positron collider, with $\gamma$ of order 2 $\times$ 10^5 and r of order several kilometers, this works out to a $\sim$ 8 $\times$ 10^{23}\, $\mathrm{m\,s^{-2}}$ , corresponding by the Unruh…

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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

[13] Electrons as Accelerated Thermometers ↗

These citations provide research context; check each source for the exact claim it supports.