A Conditional Interface Test Between Deterministic EAS Scalar-Field Ordering and the Free One-Photon QED Double-Slit Description
Abstract
This paper is archived as a speculative research work. We test whether deterministic Entanglement–Algebraic Spacetime scalar-field (EAS SF) ordering can be placed in a conditional, noncontradictory interface with the free one-photon quantum-electrodynamic description of the double-slit experiment. The native SF description and the quantum representation are kept distinct. On the SF side, the present photon-like model consists of two conjugate scalar-bearing points that remain in a fixed association together by one point per complete rank-3 cycle, conserve the complete scalar record, possess no assigned intermediate point-by-point path, and undergo whole-record transfer at a first detector association. On the quantum side, unresolved preparation-compatible alternatives are represented by a complex one-photon state and a standard measurement instrument. The body-centered-cubic (BCC) Weyl walk used in the construction is an imported auxiliary lattice representation, not a dynamical law derived from the SF ontology. The auxiliary interface uses the classified homogeneous, local, isotropic, unitary two-component Weyl walk on the BCC Cayley graph. Its small-wave-vector limit is massless Weyl dynamics, and a paired-representation transverse sector yields the source-free Maxwell equations in the same asymptotic regime. Apertures are represented by orthogonal transmission operators, terminal detection by a normalized Kraus instrument, and intermediate which-path measurement by persistent records whose overlap multiplies the interference cross term. No Weyl expansion word is assigned as a native photon-like path. The supplied validation record reports 24 passed tests for a monochromatic one-transverse-coordinate BCC-dispersion angular-spectrum calculation, including normalization, Weyl-matrix unitarity, interference, phase reversal, record-induced decoherence, scaling, refinement, and convergence toward the continuum angular-spectrum reference at small dimensionless wave vector. The executable numerical archive was not included with the manuscript files supplied for this audit; the reported values were therefore checked for internal consistency but were not independently rerun. The resulting claim is conditional compatibility at the level of stipulated cadence, imported free-field propagation, measurement records, atomic endpoint capture, and detector statistics. It is not a derivation of QED amplitudes, the Born rule, the BCC Weyl walk, or the SF ontology from the other description.
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Authors: Michael E. Labhard