Abstract—In this paper, we will give some clear evidences of the reality of the division by zero z/0 = 0 with a fundamental algebraic theorem, and physical and geometrical examples; that is, 1) a field structure containing the division by zero, 2) by the gradient of the y axis on the (x, y) plane, 3) by the reflection 1/z of z with respect to the unit circle with center at the origin on the complex z plane, and 4) by considering rotation of a right circle cone having some very interesting phenomenon from some practical and physical problem.

Index Terms—Division by zero, 1/0 = 0, field, Y-field, computer science, reflection with respect to circle, point at infinity, gradient, circle, curvature, EM radius, right circular cone.

Hiroshi Michiwaki is with NejiLaw Inc., 1-8-27-14F, Konan, Minato-Ku, Tokyo Japan (e-mail: kbdmm360@yahoo.com.jp).
Saburou Saitoh and Masato Yamada are with Institute of Reproducing Kernels, Kawauchi-Cho, 5-1648-16, Kiryu 376-0041, Japan.

Cite: Hiroshi Michiwaki, Saburou Saitoh, Masato Yamada, "Reality of the Division by Zero z/0 = 0," International Journal of Applied Physics and Mathematics vol. 6, no. 1, pp. 1-8, 2016.