Certified Boundary Readout and Lorentz-Type Interface Compression in EAS Scalar Fields

This paper is archived as a speculative research work. This paper develops the certified boundary-readout framework for phase-capable bounded supports in EAS scalar fields. The analysis begins with scalar points, scalar values, cyclic rank-3 association records, bidirectionality, certified boundary records, and support-preserving admissible presentations. It does not assume primitive spacetime, primitive time, primitive metric geometry, primitive scalar-value update rules, primitive mass, primitive momentum, or primitive frequency. A certified boundary point is shown to require two boundary-line slots and one transverse slot. The transverse slot may be interior-facing or exterior-facing, but a connected closed boundary shell must preserve coherent slot-status assignment. Nonuniform boundary phase rotation changes the complementary boundary-line slot pair and therefore produces a phase-defective boundary presentation rather than a new valid support family. Boundary readout is consequently slot-indexed but support-complete only over the full rank-3 cycle. The paper then defines support-preserving exterior comparison. Exterior channels are treated as available rank-3 relations, not scalar-value update paths. Exterior-facing comparison data are reduced by quotienting the common exterior component; this quotient is a comparison-side operation and not a uniform scalar reassignment of the bounded support. Redressing is formulated as constrained comparison within the admissible presentation class of one fixed certified support. When the redressed response divided by the reduced exterior-facing magnitude is independent of the nonzero reduced perturbation class, the support has a perturbation-normalized boundary-response coefficient rhoB. Once rhoB has been obtained, same-support preservation gives the finite boundary balance kappaₚerp OmegaB - kappaₚarallel KB = rhoB, where OmegaB is the complete-cycle exterior-facing readout and KB is the complete-cycle boundary-parallel readout. Under coherent continuum/interface compression this becomes alphaₚerp omega² - alphaₚarallel |k|² = rhoᵢnt, and, after calibration, omega² - c² |k|² = mu². The resulting Lorentz-type relation is therefore not primitive scalar-field geometry. It is the interface compression of finite same-support preservation after a perturbation-normalized boundary-response coefficient has already been obtained. The paper also explains how this boundary discipline supports later charged-support applications, including the Koide construction, by separating common charge-channel boundary/dressing readout from whole-support scalar-amplitude hierarchy.