The Universal Harmonic Ladder: Hydrogen-Anchored Quantization of Energy-Density Gradients Across All Scales

This paper introduces a unifying physical framework based on the Mass–Energy Gradient (MEG) model, demonstrating that all stable structures in the universe—from electrons and phase transitions to stars, neutron stars, and galaxy clusters—occupy discrete rungs on a single harmonic ladder anchored by hydrogen.

Each rung corresponds to a quantized energy-density gradient (EDG), with spacing governed by a purely geometric constant. The theory reproduces key gravitational phenomena without dark matter, terminates the lepton family naturally, and predicts quantized mass thresholds for compact objects. Strikingly, phase anomalies such as helium’s missing solid and the 2.5–5 M☉ compact-object mass gap are shown to mirror each other across scales as skipped ladder rungs.

All derivations are based on EDG steepness rather than spacetime curvature, making this framework a fully metric-free alternative to general relativity and quantum mechanics in the domains it addresses. The paper concludes with falsifiable predictions and an observational roadmap for validating or refuting the ladder structure using current and near-future data (DESI, LIGO, NICER, Gaia).

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