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Grand Unification in the Spectral Pati-Salam Model
Ali H. Chamseddine, Alain Connes, Walter D. van Suijlekom
We analyze the running at one-loop of the gauge couplings in the spectral Pati-Salam model that was derived in the framework of noncommutative geometry. There are a few different s…
The Scaling Site
Alain Connes, Caterina Consani
We investigate the semi-ringed topos obtained by extension of scalars from the arithmetic site of our previous work, by replacing the smallest Boolean semifield by the tropical sem…
Geometry of the arithmetic site
Alain Connes, Caterina Consani
We introduce the Arithmetic Site: an algebraic geometric space deeply related to the non-commutative geometric approach to the Riemann Hypothesis. We prove that the non-commutative…
Absolute algebra and Segal's Gamma sets
Alain Connes, Caterina Consani
We show that the basic categorical concept of an S-algebra as derived from the theory of Segal's Gamma-sets provides a unifying description of several constructions attempting to m…