Entropyics 8 : Linking Chaos Indicators with Directional Entropy Storage in Cosmic Expansion (v3)

✔️ This work is licensed under CC BY-ND 4.0. See detailed reproduction notice below. The full manuscript is available in the “Files” section above. ✔️ This paper presents Entropyics 8, a preliminary simulation-based exploration of whether chaos indicators—such as Lyapunov-type metrics of sensitivity to initial conditions—can be associated with directional entropy storage in black holes. ✔️ In the Entropyics framework, black holes act as distributed entropy storage nodes, and directional imbalances in storage produce anisotropic acceleration. The study models a chaos proxy C(θ, φ) as a function of entropy gradients and spin variability, testing whether it correlates with predicted acceleration deviations ∆a(θ, φ). ✔️ Synthetic HEALPix-like simulations with 768 sky cells yield strong results: R² ≈ 0.932 under clean conditions and ≈ 0.82 with conservative noise, with slopes near unity. These outcomes suggest chaos indicators statistically co-move with entropy storage geometry. ✔️ While not based on observational data, the findings motivate future empirical tests using licensed cosmological datasets (e.g., Planck, supernovae, gravitational wave sirens). The work proposes that cosmic anisotropy may be measurable as the entropic imprint of directional chaos. [Public Reproduction Notice] Licensed under CC BY-ND 4.0. Academic reuse (including summarization, reinterpretation, or translation) is strictly prohibited. Media reproduction — including YouTube, blogs, podcasts, articles, and social platforms — is permitted and encouraged, only with clear attribution to “Y. Jang” and “Entropyics”. Any distortion, misrepresentation, or out-of-context reframing of the theory is strictly prohibited.