The Informational Singularity Hypothesis

The Informational Singularity Hypothesis proposes that reality emerges from a fundamental informational process starting from pure Nothingness. With no properties to limit it, Nothingness inevitably becomes origin. Its uniqueness forces it to be total, creating an irreducible ontological contradiction that fuels a primordial tension — the eternal generative engine of information. The tension generates infinite binary information and sparks the spontaneous emergence of potentially unbounded informational complexity from absolute simplicity. The process unfolds across three levels: the Informational Singularity (primordial fractal patterns), the Primordial Holographic Field (emergent rules), and the Fundamental Geometric Field (observable dimensions and laws). The model is computationally validated through 12 algorithmic variants analyzed with 5 independent metrics: Lempel-Ziv complexity, recurrence quantification analysis, persistent topology (TDA), nesting tree analysis, and Transfer Entropy with shuffle control. Key findings include convergence to 1/φ (golden ratio) in complexity measures, exact φ+1 branching ratio, and statistically significant inter-scale information flow. All source code is publicly available on GitHub for scrutiny and reproducibility.