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/signs, cyclic rank-3 association records, bidirectionality, certified boundary records, support-preserving admissible presentations, and redressing within a fixed support. 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, while support-complete boundary readout requires 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. The central logical repair is the support-threshold origin of the boundary coefficient. An interface-certifiable bounded support cannot be an all-zero scalar-value/sign presentation, since the interface would then have no scalar-value/sign basis for distinguishing the support from the zero/background presentation. Hence a certified bounded support has a finite nonzero reporting support scalar level sigma_S. A subthreshold perturbation may vary scalar values without forcing a nonzero coefficient. A threshold-reaching perturbation can disturb the support certificate; if it is nevertheless redressed into the same bounded support, redressing must restore a finite nonzero reporting support-restoring scalar-value/sign amount Delta_S(E). Normalizing this reporting amount by the reduced exterior-facing perturbation magnitude gives the threshold-derived boundary coefficient rho_B(E) = Delta_S(E) / Omega_ext(E). In a homogeneous exterior-facing comparison channel, this quotient becomes the support coefficient rho_B. Once rho_B has been derived, same-support preservation gives the finite boundary balance kappa_perp Omega_B - kappa_parallel K_B = rho_B, where Omega_B is the complete-cycle exterior-facing readout and K_B is the complete-cycle boundary-parallel readout. Under coherent continuum/interface compression this becomes alpha_perp omega^2 - alpha_parallel |k|^2 = rho_int, where rho_int is the compressed representative of the threshold-derived coefficient. After calibration, omega^2 - c^2 |k|^2 = mu^2. The resulting Lorentz-type relation is therefore not primitive scalar-field geometry. It is the interface compression of finite same-support preservation after the threshold-derived boundary 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.