On the Theory of Relative Duality v14

This preprint introduces Relative Duality, a relational framework in which no fundamental background, descriptive role, or external law is physically preferred. The theory is formulated through role-exchange symmetry, mutual-commutant structure, finite role algebras, and dynamical graph models in which relations, local update rules, and graph-code transitions are treated as parts of one reversible structure.

The manuscript presents exact algebraic results, state-coded graph dynamics, propagating and localized finite-model modes, covariant graph-matter transport, non-flat configuration-space holonomy, and an asymptotic multi-defect scaling test. The latest version shows that the simplest one-dimensional multi-defect loop does not produce a clean exchange interaction, but instead yields a controlled obstruction and a clear next target: richer branched or effectively two-dimensional relational graph sectors.

Continuum spacetime, quantum field theory, measurement probabilities, observed particles, coupling constants, and the Standard Model are discussed only as conditional reconstruction targets. The manuscript clearly separates exact finite-model results, numerical diagnostics, conditional continuum interpretations, and open physical identifications.