This record is a duplicate created during a versioning error.For the latest and official version of this research (v30 and beyond),please refer to the following permanentlink: https://doi.org/10.5281/zenodo.18911689 This repository contains Version 13 of the theoretical research regarding Viscoelastic Spacetime and Gravitational Entanglement. This version serves as the foundational record of the theory's initial completion and provides the essential conceptual framework for a unified model of galactic dynamics and the Hubble tension. Key Contributions & Authorship Original Proposal: The core research idea and the initial theoretical direction were first proposed by Chang-sik Kim. Theoretical Development: The author, an independent researcher (Yonsei University alumnus), led the completion of the theory, establishing the logic and variables presented in this document. Historical Significance: This version (v13) captures the primary state of the research before the advanced $LaTeX$ refinements and symbol optimizations introduced in later versions. Note on Versioning This is the 13th iteration of the working theory. It includes the full text and preliminary formulas that form the basis of the study. For the most up-to-date mathematical notations and $LaTeX$ rendered symbols, please refer to Version 15 in this same repository. Originally proposed and developed by Chang-sik Kim

We propose the Spacetime Elastic Hysteresis Theory, a novel scalar-tensor framework that models spacetime as a physical viscoelastic medium possessing intrinsic stiffnessand memory. Motivated by persistent anomalies in the standard ΛCDM model—specificallythe flat galactic rotation curves and the Hubble Tension—we postulate a constitutive relation,tentatively termed ’Kim’s Law’ (V (ψ) ≈ 12κψ2). This relation posits that the gravitationaleffects typically attributed to Dark Matter may instead arise from the macroscopic entanglement stress of the spacetime lattice. By deriving the Kim Tensor (Kµν), we demonstratethat this framework can reproduce flat rotation curves and the baryonic Tully-Fisher relation without invoking non-baryonic hypothetical particles. Furthermore, considering thehysteresis inherent in a viscoelastic medium suggests a potential mechanism to alleviate theHubble Tension. Our analysis implies a recalibrated cosmic age of approximately 16.54Gyr, offering a theoretical basis for potentially alleviating the tension with the mature earlygalaxies recently observed by JWST. Originally proposed and developed by Chang-sik Kim