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The paper explores the geometric origin of particle mass hierarchy and the nature of the strong interaction.

January 6, 2026Open Access

Action Monism IV : The Geometric Origin of the Proton-to- Electron Mass Ratio : A Phenomenological Approach via Action Monism

Key Points

The paper explores the geometric origin of particle mass hierarchy and the nature of the strong interaction.
Proposes elementary particles as holographic projections of fluid dynamics on a 3D manifold.
Derives the proton-electron mass ratio as a topological invariant related to geometric properties.
Reinterprets strong interaction as confinement pressure linked to vortex structures.
Identifies the proton-electron mass ratio as approximately 1836.15 based on geometric volumes.
Suggests strong interaction arises from topological constraints instead of gluon exchange.
Finds that many parameters in the Standard Model may be emergent features of vacuum geometry.

Abstract

This paper presents the fourth installment of the Action Monism (AOT) framework, addressing the origin of particle mass hierarchy and the nature of the strong interaction through a holographic and hydrodynamic lens. 1. Holographic Nature of Matter:We propose that elementary particles are holographic projections of higher-dimensional fluid dynamics onto our 3D spatial manifold. Observed properties such as mass and spin are interpreted as geometric projection coefficients from the bulk to the boundary. 2. Geometric Derivation of the Proton-Electron Mass Ratio (1836):We offer a geometric derivation for the proton-electron mass ratio (mp/me ~ 1836.15), treating it not as an arbitrary parameter but as a topological invariant. The value is derived from the ratio of geometric volumes (e.g., bulk volume vs. boundary cross-section) inherent to the vortex structure of the vacuum. 3. Geometry of the Strong Force:The strong interaction is reinterpreted as the geometric "confinement pressure" of these topological vortices. Quark confinement is explained as a topological constraint that prevents the unraveling of the vortex knots, rather than purely through gluon exchange. This framework suggests that many free parameters in the Standard Model are emergent geometric features of the vacuum structure. Keywords:Action Monism, Holographic Principle, Proton-Electron Mass Ratio, Geometric Mass, Strong Interaction, Projective Geometry, Topological Confinement.

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