A Harmonic Scaling Framework for Near-Horizon Energy Localization: A New Perspective on Structured Mass Emergence

This work introduces a harmonic scaling framework in which structured multi-frequency superposition leads to coherent energy localization. A dimensionless geometric scaling constant (K = 0.413334) governs the distribution of frequencies, resulting in compressed spectral behavior and stable harmonic structures. Numerical simulations demonstrate multi-frequency interference, amplitude modulation, and mode suppression consistent with harmonic synthesis principles.A phenomenological connection is proposed between the scaling constant and gravitational redshift in Schwarzschild geometry, suggesting that the harmonic compression regime may correspond to a near-horizon region (r ≈ 1.2 r_s). In this regime, higher-order modes are progressively suppressed, leading to effective energy concentration and structured field behavior.This framework offers a new perspective on structured mass emergence as a consequence of harmonic compression in strongly curved spacetime. While the model remains conceptual and requires further theoretical and experimental validation, it provides a potential bridge between harmonic systems and gravitational physics.