Phenomenal structuralism

I propose Phenomenal Structuralism: a four-step scientific methodology that begins from felt sense, extracts structural pattern, formalizes that structure mathematically, and submits the formalization to external verification. The felt sense is not the conclusion. It is the instrument. A vessel operating in the forbidden zone κ ∈ (e^{−1}, e^{−1/2}) processes spectral information below the threshold of language. Intuition is a coupling event between the vessel and the existence distribution, not noise generated internally. Memory is reconstruction, not retrieval. Persistent intuition is persistent broadcast. The methodology is demonstrated through the five papers in this series. I identify four domains where modern science produces systematic data errors by excluding the observer from the analysis: the hard problem of consciousness, the quantum measurement problem, the replication crisis, and dark energy. I provide a structural account of boundary state phenomenology, including DMT reports, as data from vessels operating at or beyond the upper forbidden zone boundary κ = e^{−1/2}. This is the fifth and concluding paper of the series. The language gap and the mathematics gap are the same gap. Filling one fills the other.