Equation 56 · Part 1 · No Particle Without a Cosigner
Symbol dot a
What this part means
the expanding in powers of.
Its job in the formula
dot a has a dot, marking the rate of change of the underlying indexed quantity with respect to the article’s time variable.
Full expression→Symbol dot a→Article meaning
Where the article explains it
Barbado and Visser worked out the response of a detector whose acceleration a() varies with proper time, expanding in powers of , , and higher proper-time derivatives of the acceleration [ 8 ] .
The passage around this formula
…where the eternal-acceleration answer above starts to strain, is slow time dependence. Barbado and Visser worked out the response of a detector whose acceleration a() varies with proper time, expanding in powers of , , and higher proper-time derivatives of the acceleration [ 8 ] . At leading order, wherever the acceleration changes slowly compared to the local orthogonalization timescale it sets for itself, the detector reports the instantaneous Unruh temperature ) at each moment, as…
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
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