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| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.15768787 |
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Table of Contents:
- <p>Wepresent the Gamma Threshold Law, a universal, falsifiable criterion for the emergence<br> of persistent order, memory, and structure in complex systems—from networks and materi<br>als to the cosmos itself. Our central finding is that global, sustained order only arises when<br> the fraction of “dark” (non-binary, unlinked, or superposed) states exceeds a critical thresh<br>old, γc ∼ 0.3–0.4. Below this Gamma point (“Gemma state”), systems are fragmented,<br> memoryless, and unstable; above, a robust, synchronized backbone of order emerges.<br> This law reframes dark matter—not simply as missing mass, but as the essential, irre<br>ducible enabler of cosmic order and memory, operating at the threshold of emergence. The<br> Gamma Law is validated across extensive simulations and counterexample challenges, and<br> makes clear, falsifiable predictions for physical, biological, and computational systems.<br> Any system that sustains global order below the critical Gamma threshold would refute<br> the law—yet no such system has been found. This principle unifies the mathematics of<br> phase transitions, network science, and cosmology, opening new directions for research in<br> physics, biology, AI, and beyond.</p>