ACORN Booklet 15: Cosmology — Large-Scale Curvature Dynamics and the Structure of the Universe

ACORN Framework Booklet Series The ACORN framework is a geometric curvature–closure approach to fundamental physics in which mass, quantisation, and dynamical behaviour arise from closed circulation of intrinsic curvature channels governed by a compact canonical operator structure. From these canonical relations emerge invariant closure norms, quantised loop actions, and universal recurrence relations organising stable physical structure. The ACORN booklet series develops the consequences of this canonical framework across multiple domains of physics. Each booklet begins from the frozen Canon and explores how familiar physical phenomena arise as projections or consequences of curvature closure dynamics. This booklet develops the cosmological sector of the ACORN framework. Within ACORN, cosmological structure arises from the large-scale organisation of curvature closure governed by the global consistency condition O(GAB)=0O(G_{AB}) = 0O(GAB)=0. The Universe is interpreted as a global curvature system in which local matter closures, electromagnetic projection, and relativistic geometry all emerge from the same underlying closure dynamics. In this picture cosmic expansion reflects large-scale redistribution of curvature energy across admissible closure sectors. Dark matter phenomena can be interpreted as gravitational influence from curvature structures that do not project electromagnetically, while dark energy corresponds to large-scale curvature modes that manifest as background dynamical expansion. This framework therefore provides a geometric interpretation of cosmological structure in which matter formation, gravitational dynamics, and large-scale cosmic evolution arise from the same invariant curvature–closure principles already established for particle-scale physics. ACORN: Cosmology extends the curvature–closure framework from local physical systems to the global dynamics of the Universe, suggesting that cosmic structure and expansion are natural consequences of the same closure conditions governing matter, electromagnetism, and relativistic projection.