Anomalous Coherence Hierarchies (ACH) Framework: Exploratory Evidence of Common Statistical Patterns in Neural and Cosmic Systems

his repository contains the complete materials supporting the ACH (Asymmetric / Anomalous Coherence Hierarchies) Framework, an interdisciplinary exploratory study investigating the emergence of similar statistical and geometric organization patterns in complex systems across neuroscience and cosmology. The project integrates: Neuroscience analysis based on EEG-derived metrics, including coherence, entropy, correlation, and signal-to-noise ratio (SNR), demonstrating statistically preserved coherence structures without significant linear correlation. Cosmological analysis based on Cosmic Microwave Background (CMB) parity asymmetry measurements, revealing controlled deviations from standard ΛCDM expectations under varying topological parameters. A unified analytical framework, identifying recurring statistical and geometric patterns across systems separated by approximately 13 orders of magnitude in scale. Scientific Scope and Limitations The results presented constitute legitimate but limited empirical evidence.They do not establish a universal physical law, a fundamental theory, nor a causal interaction between neural and cosmological systems. Instead, this work provides a reproducible exploratory framework, showing that similar coherence-related statistical structures may independently emerge in complex systems, regardless of scale. All interpretations are intentionally conservative and aligned with standard scientific practice.