The Origin of Interactions in the EAS Kernel and the Emergence of Physical Time

This paper is archived as a speculative research work. In the Entanglement-Algebraic Spacetime, what counts as a genuine interaction in an ordered set of static scalar fields, and under what condition does the ordering parameter become physical time? We show that not every admissible deformation of the ordered scalar family defines an interaction in the strong sense. A genuine interaction requires plateau-supported forcing that leaves a non-quotientable residual remainder after all admissible phase-compatible local and global redressing compatible with the same plateau class have been exhausted. We first formalize the phase-coherent rank-3 scalar-field structure: each scalar-field layer carries a common cyclic phase of admissible rank-3 comparison, with refinement-stable (1,2) points exposing their singleton and paired slots in a globally synchronized cycle, while (3,0) points are constrained only by locally admissible give/receive/silent compatibility. The decisive kernel-side locus of this question is the boundary/dressing sector, where shell mismatch is coupled into realized residual response and where admissible phase-compatible redressing determines whether a forced response is absorbable or irreducible. We then distinguish structural residual capacity from realized residual response and show that only residual-separating forcing classes convert the former into the latter. On genuinely realized residual support, the phase-coherent rank-3 comparison grammar organizes the residual sector as a two-dimensional zero-sum response plane, and genuine interaction generically induces anisotropy on that plane, selecting a preferred ray. This interaction-selected directed residual response provides the final bridge from ordering to physical time: the ordering parameter of the previous paper becomes physically operative only on sectors supporting genuine non-null interaction response. The result is a kernel-origin account of interaction and time in EAS that introduces neither a primitive temporal law nor a primitive interaction law, but derives the physical content of both from admissible forcing, redressing, and the survival of irreducible plateau-supported response.