This work presents the Machwerk Relational Physics Framework, a non-Euclidean, operational approach to physical description grounded in observability, relational structure, and information-theoretic limits. The framework introduces a sharp boundary (M2) between physically observable geometry and mathematically definable but operationally inaccessible extensions. Classical physics, including Newtonian mechanics, is recovered exactly within the observable domain, while higher-dimensional and non-local effects are treated as relational projections rather than fundamental entities. Singularities, quantum phenomena, and apparent paradoxes such as superposition, entanglement, and tunneling are shown to arise naturally when three-dimensional constraints are relaxed, without invoking additional postulates or speculative dynamics. The work emphasizes structural consistency, reversibility, and empirical compatibility over untestable assumptions. It is intended as a conceptual and formal reference for researchers interested in foundational questions of spacetime, measurement, and the limits of physical description. This Zenodo record provides a citable archival version of the work. The associated formal core implementation and research framework is publicly available at: https://github.com/machwerk-formal-framework/machwerk-relational-physics