General Introduction

The novelty of our methodology calls for this general introduction to initiate the reader to the grand unified theory (GUT), the core of scientific natural philosophy. The conventional methodology of physics, quantitative modeling, has left long-standing problems unsolved, e.g., the turbulence and gravitational n-body problems, and fundamental questions unresolved, e.g., what the basic constituent of matter and the structure of the electron are, an inadequacy that prompted the author to introduce an alternative methodology - qualitative modeling - that digs deeper into nature beyond appearances to find out how it works. It explains not only the appearances of nature revealed by natural phenomena but also their dynamics including natural forces, interactions and behavior in terms of the laws of nature. Natural laws are discovered by observing patterns and regularity in nature and articulating them as natural laws upon which a physical theory such as GUT is built to express scientific knowledge as a deductive system subject to the most updated standards of mathematical rigor and precision. Thus, qualitative modeling gave birth to theoretical physics where there was only mathematical physics. The validity of a physical theory rests on its ability to explain natural phenomena and make verifiable predictions including invention of technology that works. Anytime a contradiction arises in a physical theory within its own structure or from experimental results it goes down the drain unless it is fixed by suitable modification or discovery of natural law that resolves it.

Just as all concepts of a mathematical space are defined by its axioms and conclusions derived from them, all physical concepts and structures, properties and interactions are determined and defined by the laws of nature and conclusions and predictions derived from them. For example, the structure and properties of the superstring are derived from natural laws. In other words, this new methodology axiomatizes physics as a deductive system where the axioms are laws of nature. In effect, it alters the primary task of the physicist from computation and measurement to the search for the laws of nature.

The boundaries between dark and visible matter and semi-and non-agitated superstrings are based on the finest arc length of visible light which may be refined in the future but our analysis will prevail as long as it is based on the laws of nature.