Zulfia Frame– A Common Framework for Mathematical, Physical, and Life Sciences: (End of Centuries of Assumptions)

Since centuries, science has progressed by adding external assumptions: g(x) ≤ 0and h(x) = 0 in mathematical sciences, flatness and vacuum in physics, ideal solutionand equilibrium in chemistry, Hardy-Weinberg equilibrium and steady-state in biology,and rationality in economics.We prove that all such assumptions are unnecessary. We introduce our ownmathematics based on a single identity: deviation with built-in direction.Let ∆ denote deviation from any assumed state and η denote its built-in direction. Wedefine the Zulfia Identity with built-in η as∆η(x, u) = 0. (1)Here η ∈ ∆, i.e., direction is not externally assumed, it is intrinsic to deviation itself.We prove two pillars:(1) External Assumptions Elimination Theorem (EAET): any external assumptionAext is a projection of ∆η = 0 and hence redundant, and(2) Internal Built-in Principle Theorem (IBPT): no internal assumption of direction isneeded as η is in-built.The common framework (Zulfia Frame) is established. Specialized theories formathematics, statistics, physics, chemistry, biology, economics, and operations researchemerge as direct reflections of ∆η = 0.