ACL Framework: Real EEG Validation of Semantic Operators (∘, ⊗, ↻) — Derived Metrics and Reproducible Analysis Package

This archive provides the complete reproducible dataset and analysis materials for the Anti-Congruent Law (ACL) Framework, validating three fundamental semantic operators — composition (∘), recursion (↻), and paradox (⊗) — using real EEG data from OpenNeuro ds004621. The dataset contains 450 fully preprocessed EEG trials (10 participants × 15 trials × 3 operators), each annotated with derived metrics describing symbolic energetics in the ψ-metric space: Variable Meaning Derivation ψ Mean ERP power (300–800 ms, FCz/Cz) mean(V²) ψ′ Theta-band curvature log(1 + varM Semantic variance 1000 / ψ⁴ dψ₍imm₎ / dψ₍del₎ Immediate / delayed modulation z-scored reaction times Preprocessing was performed in MNE-Python v1.7 following BIDS-EEG standards.Statistical analyses were implemented in R (lme4) and Python (Pingouin), with mixed-effects and mediation models confirming all four preregistered hypotheses: Operator-dependent differences in ψ. Time-shifted modulation (dψ₍imm₎ > dψ₍del₎). Mediation of ψ → dψ₍imm₎ through varM. Quartic scaling law varM ∝ ψ⁻⁴ (R² = 0.93). All figures (PNG + PDF + EPS) and scripts (Python, R) are included for direct reproducibility.The repository is journal-neutral, open-license (CC BY 4.0), and version-controlled for archival citation.