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Equation 122 · Part 2 · The Bit Comes Back Before the Bearing

Symbol β

tG/β=100t_G/\beta = 100
β\beta

What this part means

β is part of the quantity the equation computes from the expression on the right.

Its job in the formula

β is part of the quantity the equation computes from the expression on the right.

The passage around this formula

A third, more uncomfortable check is what the toy model of the previous section actually implies at the numbers already computed: tLt_L ≈\approx 3.5\,ms\mathrm{ms} , or tLt_L/β\beta ≈\approx 28.2 , for the solar-mass hole above. Taking f1f_1 = 1 as an illustrative, explicitly assumed per-quantum information content, a modest tolerance δ\delta = 0.1\,rad\mathrm{rad} (about six degrees) gives tGt_G/β\beta = 100 , so tGt_G ≈\approx 12.4\,ms\mathrm{ms} and Δ\Delta tLGt_{LG} ≈\approx +8.9\,ms\mathrm{ms} : the compass is the slower debt, as the title claims. But a coarser tolerance, δ\delta = 0.5\,rad\mathrm{rad} (about twenty-nine degrees), gives tGt_G/β\beta = 4 , so tGt_G ≈\approx 0.50\,ms\mathrm{ms} and Δ\Delta tLGt_{LG} ≈\approx…

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Sources cited in the article section

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