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

Abstract

This paper develops a cross-domain selection architecture for understanding how constraints, relations, causal accessibility, environmental conditions, and history restrict the set of physically accessible states and thereby shape the forms that can persist. The framework is expressed through a sequence from unconstrained configuration space to accessible state space, attractors or metastable states, realized structure, and finally an observable geometric, spectral, topological, or morphological signature. The same formal architecture is applied across matter, physical fields, chemistry, and living systems. Path dependence is treated as a central component, allowing identical constituents and local laws to yield different realized outcomes when histories differ. A further generative hypothesis asks whether a realized structure can itself modify the relational and constraint architecture encountered by later processes. Minimal demonstrations are provided using membrane-dependent permeability and reaction-network edge opening. The paper also distinguishes operational information from ontological interpretation. As a separate philosophical extension, it explores an informational fifth-dimension hypothesis in which structured possibility is conceived as a free, non-spatial and non-temporal dimension that may undergo conditional spatiotemporal realization. Geometric motifs, including Fibonacci-related structures, are treated as candidate signatures within a competing hypothesis space rather than as presupposed universal forms.