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To resolve the Yang-Mills enigma by demonstrating the existence of a mass gap through mechanical principles.

April 25, 2026Open Access

The Yang - Mills Identity

Key Points

To resolve the Yang-Mills enigma by demonstrating the existence of a mass gap through mechanical principles.
Proposed a metric based on absolute coordinates within a rigid lattice framework.
Analyzed energy transitions from one state to another and their implications for mass characteristics.
Established that energy cannot reach infinity within the lattice, confirming structural regularity.
Demonstrated the existence of a mass gap, where the lowest energy state is always above zero.

Abstract

III. THE MECHANICAL PROOF: THE MASS GAP Based on the absolute coordinates of the Proposed Metric, the Yang-Mills enigma is resolved as a structural necessity: Existence: Within the rigid 30-degree lattice, energy cannot "blow up" to infinity. The skeleton acts as a mechanical cage, ensuring global regularity. The Mass Gap: Energy can descend within the system (to the 12), but it cannot vanish into a vacuum. It is forced to click into the next available node—the 1. The Verdict: This transition from 12 to 1 is the mechanical resistance of the universe. It proves that the lowest energy state (Mass) must always be greater than zero. A Mass Gap exists because the 12-Track Skeleton has a fixed minimum scale.

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Alejandro Armando CAPARÓ

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The Yang - Mills Identity

Key Points

Abstract

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