Self-Organization from Constrained Geometric Radiation

Key points

• Here we report constraint-induced self-organization via geometric radiation in coupled metric evolution systems.1
• Simulations reveal a universal four-stage cycle: stress accumulation, super-exponential radiation, chaotic collapse, and convergence to a fractal limit cycle, a novel attractor topology we term the wedge-shaped attractor, with five quantized curvature states and fractal micro-fluctuations.1
• We identify four jointly sufficient conditions: an irreversible geometric horizon, persistent stress injection from quantum coherence, endogenous geometric tension between incompatible curvatures, and effective fluctuations.1
• We prove three theorems: the Geometric Horizon Theorem, the Geometric Energy Dissipation Theorem (implying wave-like entropy evolution in closed systems), and the Radiation as Phase Transition Channel Theorem.1

Sources (1)

• [1]Self-Organization from Constrained Geometric Radiation
  arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 7, 08:48 AM

  How does dynamic order emerge spontaneously in closed systems without external driving?

  Here we report constraint-induced self-organization via geometric radiation in coupled metric evolution systems.

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