Information-Theoretic Indications of Lorentzian Signature Emergence: Technical Report on the IRIS Framework

We present IRIS, an exploratory information-theoretic framework investigating how spacetime structure may emerge from quantum-informational principles. CORE NUMERICAL FINDING:Computational minimization of an information functional Iρ on finite quantum systems (N=60) provides model-dependent evidence that states with Lorentzian spacetime signatures are informationally favored over Euclidean configurations (ΔI = 33.29 > 0, robust under parameter variations). This suggests that causal, time-oriented spacetime may arise as a preferred informational configuration rather than being imposed a priori. THEORETICAL CONTEXT:The framework explores connections to M-theory-inspired compactifications (S³×K3), specific topological constraints (r=8, k=9, N=60), and potential implications for Standard Model structures, dark matter (axion-like), dark energy dynamics, and cosmological anomalies. These connections are presented as conceptual hypotheses requiring further analytical and numerical validation. METHODOLOGY:This work documents a human-AI collaborative approach to foundational physics, where conceptual direction was provided by the author with AI systems serving as formalization and computational tools. Complete Python implementation is provided for reproducibility. STATUS:Open research artifact. Not peer-reviewed. The core numerical result is reproducible; broader theoretical implications remain conjectural. No claim of uniqueness, completeness, or experimental confirmation is made. This technical note is shared in the spirit of open scientific exploration, documenting both an interesting numerical observation and a novel research methodology.