Navajo Diphthong Manifolds
Abstract
We present a rigorous categorical and topological formalization of Navajo diphthongs as sectors in a complex phonological manifold, extending the Stokes-theoretic approach to semantic energy transitions.
Utilizing functorial mappings (S: Shape → Relational Viscosity), relational twists (ɸ), and Ricci-flow optimized metrics, we demonstrate computable homorupt thresholds, categorical limits, and master-state conditions.
The work establishes a bridge between pure mathematics, applied phonology, and computational cognition, with minimal lambda calculus and Lisp implementations for functionals, functors, and morphism flows.
https://beyondturbulence.blogspot.com/2026/01/stokes-categorical-functorial-analysis.html?m=1
Abstract
We present a rigorous categorical and topological formalization of Navajo diphthongs as sectors in a complex phonological manifold, extending the Stokes-theoretic approach to semantic energy transitions.
Utilizing functorial mappings (S: Shape → Relational Viscosity), relational twists (ɸ), and Ricci-flow optimized metrics, we demonstrate computable homorupt thresholds, categorical limits, and master-state conditions.
The work establishes a bridge between pure mathematics, applied phonology, and computational cognition, with minimal lambda calculus and Lisp implementations for functionals, functors, and morphism flows.
https://beyondturbulence.blogspot.com/2026/01/stokes-categorical-functorial-analysis.html?m=1