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I am not a physicist, in fact, I am a complete dilettante, but can the transition from a power law to an inverse law simply indicate that on large scale the uni
by drewhk 10y ago
I am not a physicist, in fact, I am a complete dilettante, but can the transition from a power law to an inverse law simply indicate that on large scale the universe has less dimensionality? I mean, if we take a suitable definition of dimension, likely along the lines of Hausdorff dimension (https://en.wikipedia.org/wiki/Hausdorff_dimension https://en.wikipedia.org/wiki/Hausdorff_dimension) then we can see it as a number that defines how volume/surface changes with changing diamater of an observed "sphere" (I know I oversimplify things here). In other words, as we start to measure cosmic distances on a large enough scale, volumes/surfaces covered don't grow quadratically anymore but with a lower rate. This might be even in line with the assumption of a universe curved into itself, i.e. closed. This would change the gravity power law from having a constant 2 power to having a function as the power.
- qubex 10y ago(Constant negative two power to having a function as the power.)
- drewhk 10y agoIt depends on whether you imagine a fraction line there or not: https://wikimedia.org/api/rest_v1/media/math/render/svg/8c6ee5510ba3c7d6664775c0e76b53e72468303a https://wikimedia.org/api/rest_v1/media/math/render/svg/8c6e... ;)
- Tloewald 10y agoThe idea of fractal dimension being significant at galactic scale is intriguing and based on my totally naive reading of the article might resemble this insofar as the guy is arguing that gravity is an emergent property from quantum interactions that dramatically fall off when matter starts interfering with them at a certain point.