Emergent Discreteness from Stability Boundaries in Reversible Dynamics: Cross-Domain Numerical Validation Suite

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.