This paper presents a rigorous qualitative probabilistic formulation for the topological logic configuration and emergent geometry of composite structures within the conceptual framework of Status-Relational Entropy (SRE) Dynamics. Stripping away all absolute time, space, and energy priors, this alternative paradigm reformulates spacetime as a macroscopic geometric manifestation of status-relational entropy and phase coherence between disparate causal chains. This theoretical hypothesis elucidates a novel topological explanation for global warming, defining it as planetary-scale computational overload and condition number divergence. To test the computability and application potential of this discrete causal paradigm, we introduce a micro-scale electrochemical case study. Utilizing open-source VASP data packets of transition-metal surfaces (, , and ), the SRE 3-stage closed-loop pipeline generates an alternative topological descriptor capable of accelerating the high-throughput screening of copper-based carbon reduction catalysts. The numerical results indicate a non-monotonic response curve, identifying a specific mathematical extreme point near under current sparse sampling constraints. While the astronomical scale deductions serve as top-layer theoretical extensions awaiting long-term verification, this honest phenomenological model establishes a computable baseline for future cross-scale topological isomorphic conjectures.
Yue Lu (2026) studied this question.