Emergent Discreteness from Stability Boundaries in Reversible Dynamics: Cross-Domain Numerical Validation Suite [Unfinished working draft]

UNFINISHED WORKING DRAFT — Author status notice, 26 October 2026 This manuscript is an unfinished, exploratory working draft. Its analyses and interpretations remain subject to source verification, reproducibility checks and substantive revision. Claims of validation, universality or mechanism in the original manuscript should be treated as provisional rather than established conclusions. Outstanding work: The proposed universal mechanism and necessity claims remain unestablished. Model definitions, detector thresholds and the reported cross-model outputs require reconciliation and reproducibility checks. The original deposited file is retained for provenance. This notice updates the record status; it does not certify completion of a new analysis. Original description (historical; subject to the notice above) This dataset accompanies the manuscript "Emergent Discreteness from Stability Boundaries in Reversible Dynamics" and provides complete numerical validation of the boundary-consistent universality conjecture for locking shelves. Background. Discrete responses (quantized spectra, mode-locking, time-crystalline order) are traditionally treated as axiomatic or model-specific. We propose that discreteness emerges generically from dynamical stability in reversible, non-integrable systems: robust parameter plateaus ("locking shelves") form within elliptic stability islands and collapse predictably at hyperbolic boundaries or under irreversibility. Contents. Raw simulation outputs for six model classes (Floquet Ising, Floquet XXZ, kicked rotor, circle map, standard map, GL(2,ℝ) trace), processed metrics (Δ ± s.d., σ_crit ± grid), negative control results, and analysis scripts (Python). Key results. All tested models behave consistently with predicted stability boundaries. Negative controls validate necessity of reversibility.