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It was shown by Paul Ehrenfest in 1917 that Coulomb interaction is unstable at spatial dimensions higher than three,

*P. Ehrenfest, In what way does it become manifest in the fundamental laws of physics that space has three dimensions?, Proc. Netherlands Acad. Arts Sci., 20 (1917), 200 - 209.(pdf):

In $R_n$ for $n>3$ the planet falls on the attracting centre or flies away infinitely. In $R_n$ for $n>3$ there do not exist motions comparable with the elliptic motion in $R_3$,- all trajectories have the character of spirals.

This analysis has been extended to quantum mechanics in

• Tangherlini, F. R. (1963). Schwarzschild field inn dimensions and the dimensionality of space problem, Nuovo Cimento. 14 (27): 636 https://doi.org/10.1007%2FBF02784569

It was shown by Paul Ehrenfest in 1917 that Coulomb interaction is unstable at spatial dimensions higher than three,

• P. Ehrenfest, In what way does it become manifest in the fundamental laws of physics that space has three dimensions?, Proc. Netherlands Acad. Arts Sci., 20 (1917), 200 - 209 (pdf).

To quote:

In $R_n$ for $n>3$ the planet falls on the attracting centre or flies away infinitely. In $R_n$ for $n>3$ there do not exist motions comparable with the elliptic motion in $R_3$,- all trajectories have the character of spirals.

This analysis has been extended to quantum mechanics in

• Tangherlini, F. R. (1963). Schwarzschild field in $n$ dimensions and the dimensionality of space problem, Nuovo Cimento. 14 (27): 636 https://doi.org/10.1007%2FBF02784569

It was shown by Paul Ehrenfest in 1917 that Coulomb interaction is unstable at spatial dimensions higher than three P. Ehrenfest, In what way does it become manifest in the fundamental laws of physics that space has three dimensions? Proc. Netherlands Acad. Arts Sci., 20 (1917), 200 - 209.:

In $R_n$ for $n>3$ the planet falls on the attracting centre or flies away infinitely. In $R_n$ for $n>3$ there do not exist motions comparable with the elliptic motion in $R_3$,- all trajectories have the character of spirals.

This analysis has been extended to quantum mechanics in

Tangherlini, F. R. (1963). "Atoms in Higher Dimensions". Nuovo Cimento. 14 (27): 636.

It was shown by Paul Ehrenfest in 1917 that Coulomb interaction is unstable at spatial dimensions higher than three,

*P. Ehrenfest, In what way does it become manifest in the fundamental laws of physics that space has three dimensions?, Proc. Netherlands Acad. Arts Sci., 20 (1917), 200 - 209.(pdf):

In $R_n$ for $n>3$ the planet falls on the attracting centre or flies away infinitely. In $R_n$ for $n>3$ there do not exist motions comparable with the elliptic motion in $R_3$,- all trajectories have the character of spirals.

This analysis has been extended to quantum mechanics in

• Tangherlini, F. R. (1963). Schwarzschild field inn dimensions and the dimensionality of space problem, Nuovo Cimento. 14 (27): 636 https://doi.org/10.1007%2FBF02784569

This was shown by Paul Ehrenfest in 1917 that Coulomb interaction is unstable at spatial dimensions higher that three P. Ehrenfest, In what way does it become manifest in the fundamental laws of physics that space has three dimensions? Proc. Netherlands Acad. Arts Sci., 20 (1917), 200 - 209.:

In $R_n$ for $n>3$ the planet falls on the attracting centre or flies away infinitely. In $R_n$ for $n>3$ there do not exist motions comparable with the elliptic motion in $R_3$,- all trajectories have the character of spirals.

It was shown by Paul Ehrenfest in 1917 that Coulomb interaction is unstable at spatial dimensions higher than three P. Ehrenfest, In what way does it become manifest in the fundamental laws of physics that space has three dimensions? Proc. Netherlands Acad. Arts Sci., 20 (1917), 200 - 209.:

In $R_n$ for $n>3$ the planet falls on the attracting centre or flies away infinitely. In $R_n$ for $n>3$ there do not exist motions comparable with the elliptic motion in $R_3$,- all trajectories have the character of spirals.

This analysis has been extended to quantum mechanics in

Tangherlini, F. R. (1963). "Atoms in Higher Dimensions". Nuovo Cimento. 14 (27): 636.