Part 14: Geometric Mass Hierarchy from Bulk–Boundary Energy Separation in Discrete H4 Geometry
Year: 2026
Type: preprint
Abstract: Following the establishment of a necessary discretization-induced mass for boundary phase solitons (Part 12) and its exponential suppression with soliton delocalization (Part 13), we now demonstrate that the proton–electron mass hierarchy arises as a direct and unavoidable consequence of geometric energy separation in discrete H₄ geometry. We show that bulk excitations and boundary phase excitations couple to fundamentally different geometric stiffness mechanisms: volumetric metric deformation versus discretization-induced phase pinning. These mechanisms are intrinsically incommensurate—one algebraic and one exponential—leading inevitably to extreme mass hierarchies without numerical fitting, particle-specific assumptions, or phenomenological input. This Part closes the logical chain of mass generation in Origin Geometry by establishing that large mass hierarchies are not anomalies requiring explanation, but the default structural outcome of discrete higher-dimensional geometry.
Author: Truong, The Duy Tan
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7163644331
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