Coherent Interference from Second-Order Scalar Ordering in Entanglement–Algebraic Spacetime}

This paper is archived as a speculative research work. We present a second-order scalar ordering formulation of the double-slit experiment within the Entanglement–Algebraic Spacetime (EAS) framework. The kernel ontology contains no spacetime, no primitive phase, and no propagating waves.Instead, physics is encoded in an ordered set of scalar admissibility fields satisfying a second-order ordering constraint.We show that admissibility invariance forces oscillatory eigenmodes of the relational stiffness operator, preserving a quadratic invariant across layers.Equal-ordering manifolds yield interference structure under persistence boundary constraints.Fresnel and Fraunhofer limits arise as asymptotic regimes of ordering curvature.The Born rule emerges as the unique positive quadratic measure compatible with linear composability, cyclic phase symmetry, and invariance of the two-ledger ordering structure.Interference is thus derived as a consequence of second-order scalar ordering, not wave ontology.