One Participant, Three Physical Readings: A Bridge Theory of relativity, nested networks, and physical scale

Can embodiment, perceptual differentiation, and gravitation be understood as physical expressions of one nested relational organization? Bridge Theory proposes that finer relations constitute wholes that participate as objects within a containing domain. That domain is itself a whole in wider relations; its inward conditions and outward participation must be jointly realized. The observer belongs within this common domain, which includes its own bodily form. Cellular life, integrated organisms, planetary life, and material Earth are context-relative physical expressions, not fundamental material networks. Their connected roles motivate investigating related physical scales. An explicit hypothesis assigns inward and outward references and exchanges logarithmic depths without reweighting. At the retained particle-horizon benchmark, it gives a reference near 119 micrometres; ordered reuse with Earth's extent gives approximately 27.52 metres. Published biological sizes and condition-defined visual source-detail measurements provide distinct observational contacts. An additional exact constraint involving the common gravitational coupling specifies a required whole-Earth gravitational quantity; its inverse yields 94.303 billion light-years from the declared Earth profile and constants. Close historical correspondence, broad density-route compatibility, and a precise Planck-conditioned discrepancy remain together under the same cosmological correspondence. The theoretical span is distinguished from its particle-horizon reconstruction. Qualitative antecedents predate the mature equations, while the comparisons were developed retrospectively. The contribution is a continuous explanation from recursive constitution and common conditions to physical readings, linked quantitative restrictions, and assessable observations. Publication and version. Author preprint, version 1.0, manuscript v15, dated 3 November 2026. This manuscript has not been peer reviewed. Included materials. The main manuscript is accompanied by Online Resource 1 (definitions, conditional mathematics, source meanings, and reproducibility) and Online Resource 2 (frozen comparison inputs, read-only arithmetic checks, source and publication registers, and complete matched Markdown reading copies with figures). The synthesis archive does not reproduce the original biological adjudication, Earth profiles, cosmological posterior transformations, or the ongoing RAR1 and ARDE producer pipelines. Companion sources. The manuscript cites the fixed published versions of the BioBand, perceptual-scale (OSE), and Earth G preprints and their distinct research repositories. Their manuscript and computational archive edition numbers are kept separate. The current publication update changes citation and source-access information rather than adding observations or altering the numerical inputs, equations, adverse comparisons, or scientific figures.