I have heard of such idea:(adsbygoogle = window.adsbygoogle || []).push({});

A sphere of fractional dimension 0<s<1 is understood as a probability sphere with probability s to have an electron at a certain position

for example the volume of the sphere S^{n-1} in \Re^n has volume

Vol(S^{n-1})= (2\Pi^{n/2})/(\Gamma(n/2)

and we can apply the result to non-integer values of n

Anyone have heard of this idea and show me the link for further information?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fractal Sphere

**Physics Forums | Science Articles, Homework Help, Discussion**