In conclusion, zero and infinity cannot be ignored and avoided. They should also be considered a part of reality. Zero and infinity have profound effects on our world. We just need to speculate on an identity for them and include them in our theories, not dismiss them as meaningless entities. Fifteenth-century mathematicians had to expand the mathematical arena to include negative numbers. It took us until the nineteenth century to describe a physical meaning to them, for example the negative charges in electromagnetism. We should keep in mind that there are also imaginary numbers for which we have not yet found an exact physical meaning. The actual physics extends to territories, which are vast, active and effective.

 

The presence of constants in our calculations points to unknown factors that affect our universe. It is not humanlike to accept that the meanings of these factors are beyond our reach. We are hunters in the dark, and so far we have been finders.

 

The Shrinking World

 

Einstein’s special relativity tells us that when an object is moving relative to a stationary framework, its size shrinks for someone residing in that framework. The amount of shrinkage depends on speed of the object. If we stretch this principle to the extreme, when the framework is not moving at all, the moving object reduces in size to zero.

 

If the notion of distance is not present in singularity, logically such an entity cannot be  moving; we take it to be fixed and motionless. For such an entity, the size of moving space-time will be reduced to zero.

 

I have adapted this concept from two works: The Universal Theory of Relativity by Roland Michel Tremblay and Big Shrink by Richard Quist. Interestingly, these authors expressed the concepts of non-locality and a shrunken world when they used the domain of mind to conceptualize a new model for the universe.
 
Summary

 

According to this definition of singularity, infinities in physics are not problematic. They are defined and explained. By looking at the benign, naked singularity as a medium that accommodates the core fabric of the universe, we can obtain a deterministic and comprehensible explanation for many paradoxes in physics. In this view, our material world and ourselves are connected to the singularity at all times and at all places. In this model, Singularity is not 13.7 billion years away (the birth date of the universe) or inside black holes). Singularity is here.

 

Space in this model is a complex Minkowski manifold, which means it has three spatial dimensions and one temporal dimension. However, each of these dimensions is represented with a complex number (containing an imaginary element i). As such it mimics twister theory, a theory of everything supported by Roger Penrose, the famous British mathematician. But in my model, the imaginary element is shared in common between all four dimensions.

 

In this view, the outer boundary of space-time and Planck distance/Planck time is the interface where our universe meets singularity. I have also attributed the notions of zero and infinity to this entity. The concept of imaginary numbers is also accredited to physical activities related to proposed singularity.

The arguments presented are open for debate. The reader is encouraged to email his/her inputs to correct, modify or develop the contents. Please visit The Feedback Page,  discuss and share your views.