Emergence of Discrete Energy Scaling in a Nonlinear Triangular Collective Oscillator

This record contains the manuscript and supporting data for the study
“Emergence of Discrete Energy Scaling in a Nonlinear Triangular Collective Oscillator”.

The work introduces a minimal nonlinear classical dynamical model composed of three
coupled oscillators arranged in a triangular topology. Through extensive numerical
simulations, the model exhibits robust hydrogen-like energy scaling emerging from
collective vibrational dynamics, without invoking quantization rules or Coulomb potentials.

The archive includes the full manuscript, a complete dataset of 500 numerical simulations,
and the reference simulation code used to generate the results. All data and simulations
are fully reproducible.