A Fixed-Axis Electron-Spin Interface Identification from Coherent Boundary Handedness in an Ordered Scalar-Field Model

Abstract

This paper is archived as a speculative research work. This paper addresses the restricted question of whether an exact electron-like ordered scalar-field record supplies the native two-valued axial degree represented as electron spin at an established spacetime interface; it does not attempt to derive the full phenomenology of spin-1/2 systems. Requiring exactly one boundary-to-exterior activation in each rank-3 phase and each of the three boundary roles exactly once per complete cycle admits six assignments, which divide exhaustively into two coherent orientation classes, H_+ = {(0,1,2), (1,2,0), (2,0,1)} and H_- = {(0,2,1), (1,0,2), (2,1,0)}. The source-corrected records assign +1/9 to each of the nine bounded points and zero to each exterior point in every phase, so the two classes have identical scalar ledgers and comparison magnitudes; their exact native distinction is the opposite order of the complete boundary comparison history. In the path-anchored spacetime interface, the normalized rest-space dual of the plus-ordered transverse bivector defines the measuring direction n. Applying that same interface construction to the reflected order gives \Sigma_- = -\Sigma_+, S_- = -S_+, and s_h = h(\hbar/2)n, provided only that the two mapped transverse relations are nondegenerate, a \wedge b \neq 0. An independent fixed-axis analyzer-coupled assay distinguishes the two phase orders by the terminal records t_m \to e_m, D = 1, and t_m \to e_m \to b_m, D = 2, whose unequal graph distances from the same analyzer source cannot be identified by a context-preserving automorphism. The current native construction nevertheless generates only (H_+, D = 1) and (H_-, D = 2), not the four preparation–terminal combinations required for a generic nonparallel analyzer; terminal depth is therefore established as a fixed-axis handedness discriminator, but not yet as a native arbitrary-axis outcome variable.