FORMAL FRAMEWORK OF REALITY: A HIERARCHICAL OPERATOR SYSTEM AND THE STABLE SOLUTION Ux = x

FORMAL FRAMEWORK OF REALITY: A HIERARCHICAL OPERATOR SYSTEM AND THE STABLE SOLUTION Ux = x Conceptual framework: Phan Thành Trung I. ABSTRACT This paper presents a formal framework describing reality as the result of a hierarchical chain of operators acting on a state space. Instead of assuming that reality is a pre-existing collection of physical objects, the model proposes that existence emerges as the stable solution of an operator pipeline. The process begins with a chaotic possibility field Ψ₀ containing all potential configurations. Through successive filtering operators, structural barriers emerge that eliminate unstable states. Only a subset of states can pass these barriers through a barrier-crossing mechanism. After crossing these thresholds, the system undergoes progressive compression through the Googol Gear operator, which reduces the degrees of freedom of the state space. W