Apparently, one way to understand the effects of Λ on space-time is to apply the following equation which provides the invariant cosmological length-scale(adsbygoogle = window.adsbygoogle || []).push({}); (while Planck length is the invariant quantum length-scale that replaces zero), length-scale being a measure of the space-time sheet-

[tex]\Lambda =\frac{1}{L^2}[/tex]

where L is'the genuine physical meaning of the cosmological constant Λ, a maximal, impassable scale, invariant under dilations, that replaces infinity from the view point of its physical properties'.

Source- 'Scale-Relativistic Cosmology' by Laurent Nottale http://luth2.obspm.fr/~luthier/nottale/NewCosUniv.pdf

The equation can be re-written-

[tex]L=\sqrt{\frac{1}{\Lambda}}[/tex]

For a cosmological constant of 1.252x10^-52 m^-2, this works out at 8.937x10^25 metres which equals 9.447x10^9 Lys (9.45 billion Lys).

What is this length exactly? Is it suppose to relate to the cosmic light horizon (13.7 billion Lys) and 9.45 billion years is considered acceptable because it's within 1 order or is it a length in it's own right, and if this is considered the maximum length for a space-time sheet, what exactly becomes variable at this distance? If the Planck length is considered the quantum length-scale and anything smaller than this is quantum foam, what is supposed to happen at the cosmic length scale?

regards

Steve

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# Lambda as a unit of length

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