This is a review of recent results regarding the application of Connes’ noncommutative geometry to the Standard Model, and beyond. By twisting (in the sense of Connes-Moscovici) the spectral triple of the Standard Model, one does not only get an extra scalar field which stabilises the electroweak vacuum, but also an unexpected [Formula: see text]-form field. By computing the fermionic action, we show how this field induces a transition from the Euclidean to the Lorentzian signature. Hints on a twisted version of the spectral action are also briefly mentioned.

中文翻译：

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扭曲光谱三元组的作用以及从欧几里得到洛伦兹的过渡

这是对有关将 Connes 的非对易几何应用于标准模型及其他方面的最新结果的回顾。通过扭曲（在 Connes-Moscovici 的意义上）标准模型的光谱三元组，不仅可以获得稳定电弱真空的额外标量场，还可以获得意想不到的 [公式：见正文] 形式场。通过计算费米子作用，我们展示了该场如何诱导从欧几里德到洛伦兹签名的转变。还简要提到了关于光谱作用的扭曲版本的提示。