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Another interesting characteristic of imaginary numbers is the fact that although they influence real numbers in equations, they normally do not mix up with real numbers. In other words, the real numbers and imaginary numbers don't commute. In a complex number, we normally have to deal with each portion separately. For example, for additions, we write the equation as follows:

( 6 + 3 i ) + ( 5 + 2 i ) = 11 + 5 i

Assertion C7: The real numbers and imaginary numbers represent two separate domains

As mentioned above, in this model, the imaginary number (i) is the factor that completes and closes the field, while complex numbers provide the framework for a deeper reality that encompasses the whole of existence.

In addition, in the Cartesian coordinate system, if we take x, y, and z to represent different observables in space-time (e.g., distance, permeability, temperature, weight, etc...), we notice that zero is located at the center of all of those observables (i.e., at the center of the line representing each value; see the diagram above). However, point zero does not contain any of them (their values measure zero at point zero).

Assertion C8: While zero point is at the center of any parameter in space-time, it does not represent any of them.

Formerly, I assumed zero point to represent singularity. On the other hand, if any real value is engulfed by an imaginary domain, then any point of each observable is separated from other points by a kind of medium.

Any measurable is in a so-called Hausdorff space. Hausdroff space is a topological space in which distinct points have disjoint neighbourhoods.

hausdorff space

A space is Hausdorff if any two points can be “housed off” from each other by open sets. The last assumption, therefore, is

Assertion C9: Any parameter in our objective universe is quantized and engulfed in a medium


Although, the mathematics of complex numbers is highly developed, the physical interpretation of the complex system is subject to debate.

The concept of complex numbers opens our eyes to the combination of qualitative and quantitative characteristics of an element. In reality, this combination is the actual nature of any being. The quantitative aspect alone does not convey the whole entity. It is merely an idealization. The text in front of you does not consist merely of words, letters, and numbers. It is much more than that. It contains notions (the essence) that are not observable.

Later on in this model, based on intuitions springing from the complex number system, I include consciousness and perception as elements in the construction and comprehension of the physical world. I further examine if this extra factor can steer theoretical physics out of its current cul-de-sac and offer solutions to existing paradoxes.

I hypothesize that zero is the center and medium for the observable universe; it represents an entity that we shall hereafter call singularity. In the sections that follow, I will elaborate on how objective reality is just a portion of actual existence. I have deduced that zero must lack physical elements, because the value of objective elements in it is zero. On the other hand, zero encompasses space-time and the whole of existence revolves around it (unit circle concept). Furthermore, I assert that zero exists at any point in any domain or field.



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