Feynman's claim that a positron is an electron moving backwards in time implies a paradox. The purpose of this paper (Part I of II) is to prevent the contradiction in physics due to this paradox.
Both physical considerations and neuropsychological considerations are applied.
The physical considerations imply that assuming multidimensionality of time prevents Feynman's paradox and additional physical paradoxes. This multidimensionality in explained by neuropsychological considerations.
A suggested method of obtaining unlimited quantity of clean energy based on the principle of annihilating matter and antimatter is presented in Part II.
This theory is entirely new. Its approach is different from that of other approaches to the multidimensionality of time.
