Core Operational Relations of ECM - Part 2 Numerical Phase-Kernel Interference Test

This preprint presents the first formal numerical implementation of the Extended Classical Mechanics (ECM) operational hierarchy by applying Planck-scale reference constants to the framework's core transformation relations. Beginning from the latent pre-manifest state, the paper quantitatively derives the emergence of sub-Planckian wavelength, temporal displacement, and cumulative frequency transformation through continuous phase advancement. The work establishes a numerical phase-kernel interference test that illustrates the progression from latent energetic existence to manifested physical reality, while demonstrating the operational correspondence between phase, wavelength, frequency, and Planck-scale boundary values. The resulting numerical hierarchy provides a reproducible reference for ECM calculations and supports the framework's interpretation that physical manifestation emerges through progressive phase advancement rather than from pre-existing spacetime or geometric structures.