From Relations to Realized Form: Constraint, History, and Pattern Selection Across Matter, Fields, and Living Architecture

The paper also examines whether a realized structure can itself generate new constraints for later layers, and provides minimal demonstrations using membrane-dependent accessibility and reaction-network edge opening.</p><p><br></p><p dir="ltr">Operational information is distinguished from ontological interpretation. A separate extension explores an informational fifth-dimension hypothesis in which structured possibility is treated as free, non-spatial and non-temporal, with conditional spatiotemporal realization under appropriate physical constraints.

Kenji Yoshida's complementary interpretation of information as dynamic change in physically realized relationships is kept conceptually distinct.</p><p><br></p><p dir="ltr">The work further introduces a geometric realization test in which Fibonacci, golden-ratio, logarithmic-spiral, helical, vortical, branching, fractal, and related geometric families compete as candidate signatures rather than being presupposed universal forms.

Explicit falsification conditions are retained throughout.</p><p><br></p><p dir="ltr">A separate CDSG/CDFG extension is included with precise attribution to Marcin Słowik for the Confined Dual-Spiral Geometry and Complete Double-Fibonacci Geometry architecture, while earlier Fibonacci and golden-ratio spiral antecedents are separately cited according to their documented scope.</p>