Galaxies are built by complex physical processes with significant inherent stochasticity. It is therefore surprising that the inferred dark matter distributions in galaxies are strongly correlated with the observed baryon distributions leading to various `Baryon-Halo conspiracies'. The fact that no dark matter candidate has been definitively identified invites a search for alternative explanations for such correlations and we present an approach motivated by the behaviors of self organized patterns. We propose a nonlocal relativistic Lagrangian theory for a `pattern field' which acts as an `effective dark matter', built on the idea that defects in this pattern field couple to the baryonic matter distribution. Our theory accounts for the gross structure of cold disk galaxies. We compute galactic rotation curves and derive various galaxy scaling relations including Renzo's rule, the radial acceleration relation, and the existence of the Freeman limit for central surface brightness.

中文翻译：

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盘状星系及其作为自组织模式的暗晕

星系是由复杂的物理过程构建的，具有显着的内在随机性。因此，令人惊讶的是，推断出的星系中的暗物质分布与观察到的重子分布密切相关，从而导致了各种“重子-晕阴谋”。没有明确确定暗物质候选者的事实促使人们寻找这种相关性的替代解释，我们提出了一种受自组织模式行为启发的方法。我们针对作为“有效暗物质”的“模式场”提出了一种非局域相对论拉格朗日理论，该理论建立在这种模式场中的缺陷与重子物质分布耦合的想法之上。我们的理论解释了冷盘星系的总体结构。