This page forms the basis of our discussion on time, matter and their connection to algebraic geometries and associative fields. It reports the first in a series of five researches that entail discussions at length on the nature of microscopic matter and fields, with unambiguous extensions to cosmological length and time scales. Microscopic deductions include molecular and atomic systems, with smooth transitions to the microstructural detailing of materials. Besides this, it offers a perspective to answer crucial questions pertaining to the concepts of dark matter and dark energy with absoluteness. It offers neat insights into the concepts of force fields such as gravitation and electromagnetism using geometric fields and related field theory. The theory when visualized using simulations and numerical approaches produces results that are complete and self consistent within the realm of the algebraic equations discovered and proven in course of this effort to explain the observable universe. This first section, elucidates on the theoretical linkage between algebraic geometries and fields, with emphasis on their geometric construction that lead to the fundamental elementary surface equations. More insight into the physics of these equations and related fields of study, are covered in the next set of articles that follow. As the topic suggests, the fundamental equation that explains the universe and nature itself is given by f(x,y,z,t)=0. This is the fundamental equation from which all of physics and science naturally arise with exact derivations. Since this work is self consistent, it relies less on a-priori knowledge of the advances in the scientific world, and is a feat towards explaining nature simply while respecting the complexities that are born out of the very framework of the universal force field equations with infinite geometrical forms.