Relational Mass and the Hierarchy of Coherence Units

<p dir="ltr">Elias De Jesús, BS, MS</p><p dir="ltr">Independent Researcher (Bioscience Background)</p><p dir="ltr">This conceptual note introduces <b>relational mass</b> as an emergent property of <b>recursive coherence</b> within the <i>Relational Physics</i> framework. It proposes that the first stable <b>tri-loop structure</b> marks the minimal unit of coherence — a balanced oscillatory system arising near the <b>critical coupling threshold</b>.</p><p><br></p><p dir="ltr">Once formed, each coherent tri-loop becomes a <b>contextual anchor</b> for subsequent loops, generating a <b>hierarchy of relational dependencies</b>. As these interlinked coherences accumulate, they create a new form of inertia — <b>relational inertia</b> — that resists decoupling and contributes to large-scale stability.</p><p><br></p><p dir="ltr"><b>Relational mass</b> is thus defined as the <b>cumulative resistance to decoupling across successive coherence units</b>, reflecting not intrinsic density but <b>distributed coupling strength</b> within a coherent network. This reframes mass as an emergent, relational phenomenon rather than an intrinsic one.</p><p><br></p><p dir="ltr">The model suggests that <b>gravitational and inertial effects scale non-linearly with relational connectivity</b>, offering a potential conceptual bridge between <b>quantum coherence and spacetime curvature</b>. Matter, energy, and geometry are thereby unified as higher-order manifestations of relational coupling — a continuum of nested feedback structures underpinning existence itself.</p><blockquote><b>Archival Note:</b> This work is also archived in the Zenodo research repository for long-term preservation and citation continuity: <a href="https://doi.org/10.5281/zenodo.17455186" target="_blank">https://doi.org/10.5281/zenodo.17455186</a></blockquote><p dir="ltr"><br></p>