PFUSRC-15: The Bright-Dark Sevenfold Logic System, the Seven Universal Conceptual Units, and the Global Unity Operator Theory A Rigorous 1:1 International Academic Edition

Based on the four-dimensional closed cosmic whole as the unified premise, this paper systematically constructs the complete dual-layer logical framework of Bright Sevenfold Logic and Dark Sevenfold Logic within the axiomatic system of PFUSRC. The Bright Sevenfold, as the explicit, observable, mathematically expressible, and rigorously provable fundamental skeleton of the cosmos, is fully retained without abbreviation or simplification. The Dark Sevenfold, as the implicit, globally governing, order-controlling, and structurally stabilizing core mechanism, constitutes the central focus of this work. This paper adopts the most robust paradigm in modern theoretical physics: without presupposing absolute truth, it establishes a self-consistent, complete, structurally unique, and predictably testable unified theoretical system, and proposes clear, observationally verifiable scientific predictions. The validity of the system will be judged by whether future observations conform to the sequential order and geometric configuration proposed herein. It is formally emphasized that the Dark Sevenfold, its corresponding seven universal conceptual units (Orderon, Boundaron, Harmonon, Anchoron, Transiton, Syncon, Transmison), and the β₁ global operator are not artificially invented concrete particles, physical entities, or ad hoc fields. Instead, they are necessary conceptual generalizations, functional classifications, and abstract theoretical constructs required for the unified, coherent, and closed description of cosmic laws. This design fundamentally avoids the critical ontological flaw of the Pythagorean school: anchoring cosmic principles to specific numbers or concrete geometries while lacking rigorous abstract generalization. This paper fully preserves the rigid dimensional evolution law 1D → 5D → 11D and all formal structural components of the PFUSRC system. It forms a fully closed, theoretically consistent, extendable, falsifiable, and physically interfaced unified theory that aligns naturally with modern physics.