Causal Structure Cosmology (CSSM) Nonlinear Accumulation, Curvature Coherence, and Emergent Cosmic Dynamics

This work presents Version 4 of Causal Structure Cosmology (CSSM), a relational cosmological framework in which observable phenomena emerge from accumulated causal structure rather than from isolated entities alone. Within CSSM, cosmic evolution is interpreted as a continuous process of structural realization governed by causal accessibility, nonlinear accumulation, and global coherence. Observable dynamics are therefore treated as emergent consequences of evolving causal relations rather than purely geometric assumptions. A central mechanism of the framework is the nonlinear accumulation relation. where weak structural effects may gradually evolve into observable large-scale phenomena through accumulated evolution. Delta phi = A·h + B(T)·h²,with B(T) proportional to T² accumulation scaling. One of the key developments of this version is the interpretation of projection and suppression effects in cosmological observations. CSSM proposes that underlying structural nonlinearities may remain partially hidden after observational projection, resulting in significantly weakened observable signatures even when coherent global structure exists underneath. Under this interpretation, the apparent near-linearity observed in cosmological data does not necessarily imply the absence of nonlinear structure. Instead, observable signals may represent compressed residual traces of deeper accumulated causal dynamics. This version further develops: • nonlinear accumulation dynamics• curvature coherence across cosmological scales• projection and suppression effects in observational signals• causal-cloud interpretation of large-scale structure• structural consistency of cosmic evolution• testable observational diagnostics including RCI and SCS CSSM proposes that large-scale curvature behavior may preserve global structural consistency even when local observations appear weak, noisy, or partially suppressed by projection effects. The framework therefore emphasizes structural continuity, accumulated evolution, and coherence preservation as observable signatures of causal structure. Rather than replacing existing cosmological models directly, CSSM introduces an additional structural interpretation layer capable of describing emergent cosmic behavior through nonlinear accumulation, causal evolution, and projection-limited observability. Version 4 expands the mathematical consistency, observational interpretation, and theoretical closure of previous CSSM versions while maintaining compatibility with empirical cosmological investigation.