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Equation 51 · Part 4 · No Particle Without a Cosigner

Symbol c

TU=ℏa/(2πckB)T_U = \hbar a/(2\pi c k_B)
cc

What this part means

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

Its job in the formula

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

The passage around this formula

with the proportionality constant fixed by the detector’s coupling strength and dimension — irrelevant here, since it cancels the instant the spectrum is normalized [ 1 , 5 ] . Takagi confirmed the same detailed-balance structure holds for a Rindler wedge of any spacetime dimension, which rules out the possibility that the thermal form is some low-dimensional accident of the four-dimensional calculation [ 7 ] . This is exactly the Planck spectral shape at temperature TUT_U = ℏ\hbar a/(2π\pi c kBk_B) , recovering the Unruh temperature as this article’s known-theory baseline, not as anything new.

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Sources cited in the surrounding passage

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