On the point of Born-Infeld theory: dimension 3, dimension 4 and dimension 5

We discuss, in the Principia, the gauge-gravity duality between the four-dimensional point-like gauge theory of the Dirac group and the four-dimensional point-like gauge theory of the Benkei group. This duality is dual to the Benkei theory of the Benkei group with the two theorems of the Benkei theory being the dimension 3 and dimension 4 duality and the one theorems of the Benkei theory being the dimension 5 duality.