We show that our Universe lives in a topological and non-perturbative vacuum state full of a large amount of hidden quantum hairs, the hairons. We will discuss and elaborate on theoretical evidences that the quantum hairs are related to the gravitational topological winding number in vacuo. Thus, hairons are originated from topological degrees of freedom, holographically stored in the de Sitter area. The hierarchy of the Planck scale over the Cosmological Constant (CC) is understood as an effect of a Topological Memory intrinsically stored in the space-time geometry. Any UV quantum destabilizations of the CC are re-interpreted as Topological Phase Transitions, related to the disappearance of a large ensamble of topological hairs. This process is entropically suppressed, as a tunneling probability from the [Formula: see text]- to the 0-states. Therefore, the tiny CC in our Universe is a manifestation of the rich topological structure of the space-time. In this portrait, a tiny neutrino mass can be generated by quantum gravity anomalies and accommodated into a large [Formula: see text]-vacuum state. We will re-interpret the CC stabilization from the point of view of Topological Quantum Computing. An exponential degeneracy of topological hairs non-locally protects the space-time memory from quantum fluctuations as in Topological Quantum Computers.

中文翻译：

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全息自然性和拓扑相变

我们表明，我们的宇宙生活在一个拓扑和非微扰的真空状态中，充满了大量隐藏的量子毛发，即毛发。我们将讨论和阐述量子头发与真空中的引力拓扑绕组数有关的理论证据。因此，hairons 起源于拓扑自由度，全息存储在 de Sitter 区域。普朗克尺度在宇宙常数 (CC) 上的层次结构被理解为本质上存储在时空几何中的拓扑记忆的影响。CC 的任何 UV 量子不稳定都被重新解释为拓扑相变，与大量拓扑毛发的消失有关。这个过程被熵抑制，作为从[公式：见文本]到 0 状态的隧道概率。因此，我们宇宙中微小的CC是时空丰富拓扑结构的体现。在这幅图中，量子引力异常可以产生一个微小的中微子质量，并适应一个大的[公式：见正文]-真空状态。我们将从拓扑量子计算的角度重新解释CC稳定性。拓扑毛发的指数退化非局部地保护时空记忆免受量子涨落的影响，就像在拓扑量子计算机中一样。我们将从拓扑量子计算的角度重新解释CC稳定性。拓扑毛发的指数退化非局部地保护时空记忆免受量子涨落的影响，就像在拓扑量子计算机中一样。我们将从拓扑量子计算的角度重新解释CC稳定性。拓扑毛发的指数退化非局部地保护时空记忆免受量子涨落的影响，就像在拓扑量子计算机中一样。