The imaginary unity is defined as the square root of negative unity. Multiples of these imaginary unities were defined as the imaginary parts of complex numbers. The absolute values of complex numbers are defined as the complex moduli. For a complex number z=x+yi, the complex modulus |z| is equal to the square root of x+y. It is understood that both x and y are real numbers hence any complex number is defined as having a real part and an imaginary part. For the case where x=0 and y=1 then |z|=1. In this context, it is defined as the absolute imaginary unity. It can be shown easily that for the case where x=0 and y=-1 the complex modulus is still equal to the absolute imaginary unity. Both defined a unit distance from the origin at (0,0) in the complex plane, on either sides of the imaginary axis. Together with a pair of absolute real unity on the real axis, they define the intersection of a unit circle with both axes. Nonetheless, in three dimensions, these two pairs of absolute unity (real and imaginary) can be the origins of another orthogonal unit circle passing through the origin of the first circle. Altogether, these two linked circles define a doubly twisted Möbius topology representing the singular topology of a quantum of space-time as a square of energy using binary operational calculus of Hadamard matrices. Their abstract geometry is equivalent to a Hopf link. See http://mathworld.wolfram.com/HopfLink.html and http://en.wikipedia.org/wiki/Hopf_link