What question did this study set out to answer?

This research aims to develop a unified theoretical framework that integrates gravity, matter, and gauge structure from a single mode field.

June 17, 2026Open Access

R-layer Mode Theory IX: Unified Theory of Gravity, Matter, and Gauge Structure

Puntos clave

This research aims to develop a unified theoretical framework that integrates gravity, matter, and gauge structure from a single mode field.
Formulated a master action based on wall-localized modes for curvature response and gauge interactions.
Derived mass hierarchies and gauge symmetries from the geometric structure of the R-layer.
Included updates regarding AI-assisted technologies in the writing process.
Establishes a framework linking gravity, matter, and gauge structure through a common theoretical model.
Identifies mass hierarchies and gauge symmetries as emergent properties of multi-scale R-layer organization.

Resumen

R-layer Mode Theory IX presents the unified theoretical framework in which gravity, matter, and gauge structure all emerge from a single underlying mode field. Building on the effective field theory of wall-localized modes developed in Volume VIII, this volume formulates the master action that unifies curvature response, bound-state matter fields, and gauge interactions generated by wall-network topology. The geometric origin of mass hierarchies, gauge symmetries, and cosmic structure is derived from the multi-scale organization of the R-layer. This Version 2 update adds the section “Declaration of Generative AI and AI-assisted Technologies in the Writing Process” and includes minor textual corrections, without altering the scientific content.

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