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Equation 7 · Decoherence: The Quiet Selection That Makes the World Look Solid

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10−310^{-3}

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superscript

superscript

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

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Here Λ\Lambda is what Joos and Zeh call the localization rate: a single number, with units of inverse length squared per unit time, built from the scattering cross-section of the object, the flux and momentum of whatever is doing the scattering, and nothing else [ 7 ] . Everything about how fast a given superposition dies is contained in Λ\Lambda , and Λ\Lambda is a number you can actually compute for a real object in a real environment — which is exactly what Joos and Zeh went on to do, in the paper’s Table 2, for three sizes of hypothetical “dust particle”: a large grain of radius 10^{-3} centimetres, a small grain of 10^{-5} centimetres, and a body of 10^{-6} centimetres that the paper…
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Here Λ\Lambda is what Joos and Zeh call the localization rate: a single number, with units of inverse length squared per unit time, built from the scattering cross-section of the object, the flux and momentum of whatever is doing the scattering, and nothing else [ 7 ] . Everything about how fast a given superposition dies is contained in Λ\Lambda , and Λ\Lambda is a number you can actually compute for a real object in a real environment — which is exactly what Joos and Zeh went on to do, in the paper’s Table 2, for three sizes of hypothetical “dust particle”: a large grain of radius 10^{-3} centimetres, a small grain of 10^{-5} centimetres, and a body of 10^{-6} centimetres that the paper itself labels a “large molecule” [ 7 ] :

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