<b>A Recursive Entropic Architecture for Cosmological Structure with Dimensional Invariance (REACS-DI): From Bohr Radius to Galaxy Filament - A Dimensionless Recursion of Space, Time, and Energy</b>

This paper introduces the Recursive Entropic Architecture for Cosmological Structure with Dimensional Invariance (REACS-DI), a unifying model that links atomic architecture and cosmological morphology through recursive spatial embedding. The framework proposes that large-scale filamentary structures arise from entropic pressure gradients acting on informational nodes within a scale-invariant lattice. These nodes are seeded by dimensionless recurrence relations rather than fixed units, allowing emergent structures to retain coherence across radically different orders of magnitude. A universal scaling constant S \sim 10^{35} enables quantum geometries, particularly hydrogenic orbitals and lattice configurations, to be projected across domains without loss of structural fidelity. This results in morphologies that exhibit recursive self-similarity, where cosmic filaments behave analogously to atomic binding networks. The model predicts not only spatial patterns but also time-evolving entropic collapse, in which nodal activations degrade into thermal equilibrium, echoing observed cosmic void expansion. Classical, relativistic, and quantum laws are reformulated under the REACS-DI framework to remain dimensionally invariant across scales. Visualisations produced through recursive molecular-lattice simulations validate the predicted structures and entropy gradients. Two-point correlation functions and density decay metrics extracted from these simulations show strong alignment with the cosmic web’s known topological properties. The simulation code and visual data used to generate key figures (3, 5, 6, 9, and 10) are openly available via Zenodo, with additional materials available upon request, supporting reproducibility. This model invites reinterpretation of the universe not as a chaotic singularity, but as a coherent, fractal-like organism, resonant across scale, structure, and entropy.