Can Spacetime Rain Particles? Source-Free Localized Droplets in the Enchan Field

This work tests whether localized finite-energy structures can be supported by the Enchan field, whose primary readouts are local clock rate and spatial geometry, without inserting a primitive matter or particle source. Smooth localized field perturbations evolve under an explicitly stated source-free reduced branch in three dimensions. The evidence comprises 42 discovery runs, 15 longer-window runs and 17 predeclared held-out/robustness runs. Localized finite-energy structures are reproduced over the declared finite observation windows on the tested discrete grids. The original durable-matter-like gate has C / ALTERNATIVE as its outcome: no final run establishes a persistent near-dust branch. Operational threshold-exit times are not physical particle lifetimes. The finite-tension transport turnover at D*=2^(2/3) remains a falsifiable mechanism hypothesis. The manuscript derives the negative longitudinal principal coefficient above this turnover and distinguishes finite-grid evidence from continuum stability. No known particle identity, infinite lifetime, or nucleation from an exactly uniform zero-energy vacuum is claimed. The standalone reproduction ZIP contains seven files: two Python scripts, the fixed simulation settings, small results for the paper figures and tables, an English manual, dependencies and the license. The manual explains how to recreate the figures or rerun all 74 simulations. Heavy final-state arrays are generated locally. No repository access is required. PDF, reproducibility ZIP, LICENSE and README. Enchan Research & Verification License v1.0. Copyright (c) 2026 Mitsuhiro Kobayashi. Update, 12 September 2026 (Version 1.0 retained): The manuscript clarifies the meaning of grain/droplet, specifies the implemented initial profiles, and adds a table from an existing stored history to connect the central source-free localization claim to the measured energy distribution. The revised PDF and the corresponding TeX/PDF in the reproduction ZIP replace the earlier files. The equations, numerical code, fixed simulation conditions and results are unchanged. The ZIP also includes the bibliography, manuscript figures and lightweight diagnostic data. This is a clarification within the same version and DOI.