Limitations of the Method of Integration in Astro- and Fundamental Physics

Abstract

I take a reflection of the mathematical method of integration applied in physics and astrophysics in the research. I examine the theoretical premise of integration entailed in its applications in the fields, and with qualitative comparative analysis, regard the inconsistency of the mathematical method in physical and astrophysical theories. I seek to uncover the formal science’s affinity to the natural sciences in the research, and assert that number theory and set theory are better substitutes in modern physics and astrophysics. With a relativistic (astro-)physics perspective, I discuss and compare the representations of causality, capacities for deviations, and error tolerance with the methodological approach. I discuss the implications with the example of the Cosmic Microwave Background, and conclude with the teleology of the (astro-)physical sciences.