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arXiv · 2512.15450

Emergence of Time from a Twisted Spectral Triple in Almost-Commutative Geometry

Gaston Nieuviarts
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Abstract

This proceeding presents a synthesis of recent results on the emergence of pseudo-Riemannian structures from twisted spectral triples within the almostcommutative framework. It provides a unified algebraic mechanism for addressing the Lorentzian signature problem, demonstrating how the almost-commutative structure underlying the noncommutative Standard Model of particle physics may give rise to Lorentzian spectral triple from a purely Riemannian setting. This notably offers an alternative to Wick rotation, provided by a notion of morphism connecting twisted and pseudo-Riemannian spectral triples.

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Gaston Nieuviarts. 2025-12-17. Emergence of Time from a Twisted Spectral Triple in Almost-Commutative Geometry. https://arxiv.org/abs/2512.15450

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