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This work aims to unify various aspects of R-layer Mode Theory, focusing on observable phenomena and their geometric relationships.

June 29, 2026Open Access

R-layer Mode Theory (RLMT) XLV: Observables, Hierarchy, Geometry, and Quantum-Gravity Closure

Key Points

This work aims to unify various aspects of R-layer Mode Theory, focusing on observable phenomena and their geometric relationships.
Integrates observational anomalies with numerical mode analysis.
Develops a unified tensorial formalism and defines CP-even and CP-odd projection operators.
Formulates the T-layer tension field using the AUP/MUP/CUP mode structure.
Establishes explicit connections between mode amplitudes and measurable quantities like muon g−2 and EDMs.
Creates a closed framework that links modes to experimental outcomes through geometric representations.

Abstract

This volume completes the R-layer Mode Theory (RMT) program by integrating observational anomalies, numerical mode analysis, and the geometric hierarchy of tensorial layers.It develops a unified tensorial formalism, defines CP-even and CP-odd projection operators, and establishes explicit links between mode amplitudes and measurable quantities such as the muon g−2 and EDMs.The T-layer tension field and its geometric potential are formulated using the AUP/MUP/CUP mode structure.The result is a closed, testable framework connecting modes, geometry, and experiment.

R-layer Mode Theory (RLMT) XLV: Observables, Hierarchy, Geometry, and Quantum-Gravity Closure

Key Points

Abstract

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