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New theory explains self-organization in closed systems via geometric radiation

A new paper proposes a novel mechanism for self-organization in closed systems, termed constraint-induced self-organization via geometric radiation. This process, simulated across various configurations, involves a four-stage cycle leading to a unique fractal limit cycle attractor with quantized states. The research establishes three theorems related to geometric horizons, energy dissipation, and phase transitions, culminating in the Constraint-Induced Self-Organization Theorem, which guarantees the complete cycle under specific conditions. AI

IMPACT Establishes a new mathematical duality between classical constraints and gravitational horizons, potentially influencing future AI research in complex system modeling.

RANK_REASON The cluster contains a single academic paper detailing a new theoretical framework and theorems. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New theory explains self-organization in closed systems via geometric radiation

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The cluster contains a single academic paper detailing a new theoretical framework and theorems. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Ming Lei ·

    Self-Organization from Constrained Geometric Radiation

    arXiv:2610.10621v1 Announce Type: new Abstract: How does dynamic order emerge spontaneously in closed systems without external driving? Existing paradigms all require external energy flows, temperature quenching, or slow driving. Here we report constraint-induced self-organizatio…