Tayfun Ustun

Categorical Refinement Dynamics and a Consistency Relation Among Standard Model Flavor Parameters

I develop a framework in which physical configurations form a category 𝐶Ps - a possibility space of structural configurations - whose morphisms carry complex-valued weights encoding transformation cost and geometric phase. The single realized reality Sr traces a path through this...

Categorical Refinement Dynamics and a Consistency Relation Among Standard Model Flavor Parameters

I develop a framework in which physical configurations form a category 𝐶Ps - a possibility space of structural configurations - whose morphisms carry complex-valued weights encoding transformation cost and geometric phase. The single realized reality Sr traces a path through this...

Local Uniqueness of the Born Rule on Categories with Complex-Weighted Morphisms

I prove a local uniqueness theorem for the Born rule in the setting of quiver-generated categories equipped with complex morphism weights and path-amplitude probability functionals. Given (i) non-negativity, (ii) polynomiality of bounded total degree, (iii) global U (1) invarianc...

Local Uniqueness of the Born Rule on Categories with Complex-Weighted Morphisms

I prove a local uniqueness theorem for the Born rule in the setting of quiver-generated categories equipped with complex morphism weights and path-amplitude probability functionals. Given (i) non-negativity, (ii) polynomiality of bounded total degree, (iii) global U (1) invarianc...