We show that non‐perturbative entities such as solitons and instantons saturate bounds on entropy when the theory saturates unitarity. Simultaneously, the entropy becomes equal to the area of the soliton/instanton. This is strikingly similar to black hole entropy despite absence of gravity. We explain why this similarity is not an accident. We present a formulation that allows to apply the entropy bound to instantons. The new formulation also eliminates apparent violations of the Bekenstein entropy bound by some otherwise‐consistent unitary systems. We observe that in QCD, an isolated instanton of fixed size and position violates the entropy bound for strong 't Hooft coupling. At critical 't Hooft coupling the instanton entropy is equal to its area.

中文翻译：

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单一性熵界：孤子和瞬子

我们证明，当理论使单位性饱和时，诸如孤子和瞬时子之类的非摄动实体会使熵的边界饱和。同时，熵变得等于孤子/实例的面积。尽管没有重力，这与黑洞熵非常相似。我们解释了为什么这种相似性并非偶然。我们提出一种允许将熵应用于实例的公式。新的表述还消除了一些本来就是一致的unit系统对Bekenstein熵的明显违反。我们观察到在QCD中，固定大小和位置的孤立瞬时子违反了牢固的't Hooft耦合的熵约束。在临界点霍夫特耦合时，瞬时熵等于其面积。