Conjectures and Thought Experiments

Conjecture 1: η, τ, and cohomology classes of defect functionals can define a Penrose-like shape-twist operator in Twistor space, producing topological shape-shifts in semantic manifolds.

Thought Experiment: Apply a relational twist ɸ in topological category of diphthong manifolds; examine connectedness and compactness invariants under S.

Quantum Analogy: Treat sector overlaps as entangled states; morphism flows simulate probability amplitudes across phonological sectors.