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Inequalities for Standard Model Yukawa Couplings
Gero von Gersdorff, Lucas Modesto
https://arxiv.org/abs/2506.06423 https://arxiv.org…

Inequalities for Standard Model Yukawa Couplings
We show that the Standard Model Yukawa matrices satisfy a set of simple yet nontrivial inequalities. The relations we derive are independent of the basis used to define the fermion fields, and, amongst other things, place strong constraints on the alignment of the columns of the up-type and down-type Yukawa matrices, as well as their cofactor matrices. The reason why one can obtain such strong statements can be traced back to the hierarchical nature of the fermion masses and quark mixings. The …

This https://arxiv.org/abs/2204.12015 has been replaced.
link: https://scholar.google.com/scholar?q=a

Reassessing the strength of a class of Wigner's friend no-go theorems
Two recent, prominent theorems--the "no-go theorem for observer-independent facts" and the "Local Friendliness no-go theorem"--employ so-called extended Wigner's friend scenarios to try to impose novel, non-trivial constraints on the possible nature of physical reality. While the former is argued to entail that there can be no theory in which the results of Wigner and his friend can both be considered objective, the latter is said to place on reality stronger constraints than the Bell and Koche…

This https://arxiv.org/abs/2012.08151 has been replaced.
link: https://scholar.google.com/scholar?q=a

Gravitational wave constraints on the primordial black hole dominated early universe
We calculate the gravitational waves (GWs) induced by the density fluctuations due to inhomogeneous distribution of primordial black holes (PBHs) in the case where PBHs eventually dominate and reheat the universe by Hawking evaporation. The initial PBH density fluctuations are isocurvature in nature. We find that most of the induced GWs are generated right after evaporation, when the universe transits from the PBH dominated era to the radiation dominated era and the curvature perturbation start…