Quantum mechanics justifies the existence of a fourth space dimension.

In this short article, we have tried to generalize Born's rule on the product of wave functions and applied it to the free particle solution of the Schrödinger equation. The interpretation of the result of this operation reveals that the electron has a four-dimensional Gaussian structure capable of moving as a stable wave pulse. Confirmation of the validity of this interpretation will assert that our universe has an extra space dimension, and the physics of this four-dimensional space is consistent with the quantum theory of three-dimensional space. Again, to have an understanding about the motion of the electron as a four-dimensional wave pulse, we attempt to rectify a longstanding misconception about the phase velocity of the matter wave and subsequently derive the de Broglie equation in a unique manner. [ABSTRACT FROM AUTHOR]