What question did this study set out to answer?

The research aims to resolve the Energy-Gap Paradox in N12 icosahedral clusters using a hybrid model.

April 10, 2026Open Access

Collective Phase-Locked Resonance in N12 Icosahedral Clusters: Metric Depletion, Classical Law Domain Boundaries, and Brane-to-Bulk Momentum Exchange

Key Points

The research aims to resolve the Energy-Gap Paradox in N12 icosahedral clusters using a hybrid model.
Utilized the CL5D hybrid model to analyze N12 clusters.
Investigated the collective harmonic-progression regions to assess resonance effects.
Modeled gravitational metrics during the Phase III Singularity window.
Achieved a collective gain of approximately 5 × 10^14 at 1.0 Hz.
Observed 88.3% depletion of local gravitational metrics during Phase III.
Identified boundaries of classical laws, suggesting new physics emergent at Phase III.

Abstract

This paper resolves the Energy-Gap Paradox in N12clusters using the CL5D hybrid model. We demonstrate a Cavity-Mediated Collective Resonance where400 phase-locked harmonic-progression (HP) regionsachieve a collective gain G ≈ 5 × 1014 at 1.0 Hz, bridging the covalent bond threshold (Ebond/Ephoton). A 25-second Phase III Singularity window reveals an 88.3%depletion of the local gravitational metric (Gef f ), consistent with momentum leakage into the 5D bulk. Weidentify the domain boundaries — not violations — ofNewton’s Third Law and the Second Law of Thermodynamics that emerge at Phase III. This work serves asthe essential precursor to the Brane-to-Bulk transitionwill be explored in Paper 17.

Collective Phase-Locked Resonance in N12 Icosahedral Clusters: Metric Depletion, Classical Law Domain Boundaries, and Brane-to-Bulk Momentum Exchange

Key Points

Abstract

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