The Informational Singularity Hypothesis

Abstract

The Informational Singularity Hypothesis starts from a single premise: Nothingness. Being ontologically unique, it has no exterior: its uniqueness forces it to be total. But totality generates an irreducible contradiction with its purity—Nothingness cannot admit even the form of its own absolutization. This contradiction annihilates itself, yet the annihilation leaves a logical scar—Order, the first genuine property of the system—and the restored purity forces totality once again. The resulting oscillation between pure Nothingness (0) and Absolute Nothingness (1) constitutes an autonomous generative engine: at each cycle, annihilation operates on the entire chain of accumulated prior states, producing binary sequences of increasing complexity. Information is not a consequence of the Universe, but its primary cause. We formalize the process as an iterative collapse dynamics (Level 0) and validate it computationally through seven algorithmic variants and five deterministic and random controls. The canonical variants converge toward a universal attractor with density 1/phi (golden ratio), exponential growth (R2 approx. 0.999), transfer entropy across scales up to 27x above chance, and fractal dimension Df approx. 1.0. Notably, variants with inverted annihilation rules produce identical statistical signatures—statistical commutativity—while the introduction of inter-level feedback destroys the structure, identifying the causal mechanism of emergence. All source code is publicly available on GitHub for scrutiny and reproducibility. Levels 1 (emergent rules) and 2 (observable geometry) are presented as sketches for future development.

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