Utilizing multiple theorems derived from and formulating the equation : Z = {∀Θ ∈ Z → ∃s ∈ P S ∧ ∃t ∈ T : Θ = (s, t)} and formulating the equation: X = O + Ĥ + (n(log)Φ Pd x ), as well as some mathematical constraints and numerous implications in Quantum Physics, Classical Mechanics, and Algorithmic Quantization, we come up with a framework for mathematically representing our universe. These series of individualized papers make up a huge part of a dissertation on the subject matter of Quantum Similarity. Everything including how we view time itself and the origin point for our universe is explained in theoretical details throughout these papers.