What question did this study set out to answer?

This research aims to explain the Yang-Mills identity and the concept of the mass gap in quantum field theories.

April 25, 2026Open Access

The Yang - Mills Identity

Key Points

This research aims to explain the Yang-Mills identity and the concept of the mass gap in quantum field theories.
Analyzed absolute coordinates of a rigid 30-degree lattice
Examined energy transitions within a fixed structure (12 to 1)
Established the necessity of a mass gap based on structural mechanics
Proved that energy cannot vanish into vacuum, must transition between specific nodes.
Demonstrated that the mass gap exists because the lowest energy state is greater than zero.
Established the mechanical resistance of the universe through the 12-Track Skeleton model.

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.

The Yang - Mills Identity

Key Points

Abstract

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