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Abstract
This paper introduces the Recursive Entropic Architecture for Cosmological Structure with Dimensional Invariance (REACS-DI), a scale-invariant framework investigating whether atomic-scale geometry, when transformed through a single dimensionless scaling constant, can reproduce structural features of the filamentary cosmic web. Rather than relying on scale-specific assumptions or fitted cosmological parameters, REACS-DI explores whether proportional correspondence across space, time, and energy can emerge from unit-invariant, empirically grounded relations. A fixed recursive scaling constant S \sim 10^{34\text{–}35} is derived from ratios of characteristic atomic and cosmological reference quantities. Applied spatially, this factor maps the Bohr radius to filamentary length scales consistent with observations from large-scale structure surveys. Applied temporally, it extends atomic oscillation timescales into cosmological epochs, while energetic scaling yields an inverse correspondence between atomic binding energy and macroscopic gravitational regimes. These transformations preserve the functional form of fundamental physical laws, supporting dimensional invariance under recursion. To test the hypothesis, lattice-based simulations seeded from scaled hydrogenic density distributions are constructed and evolved under entropy gradients. The resulting structures exhibit interconnected filaments, nodal clustering, and void distributions consistent with known cosmic web morphology. Two-point correlation analysis confirms non-random spatial organisation aligned with observational statistics. Entropic evolution further demonstrates structural persistence and controlled degradation under thermodynamic pressure. REACS-DI does not seek to replace existing cosmological models, but to offer a falsifiable, simulation-driven framework suggesting that large-scale cosmic structure may arise as a recursive, informational extension of atomic-scale geometry rather than as a scale-dependent phenomenon.
Supplementary weblinks
Title
REACS-DI Simulation Dataset Supporting Figures 3, 5, 6, 9, and 10
Description
This dataset accompanies the theoretical framework presented in REACS-DI: Recursive Entropic Architecture of Cosmic Structure – Dimensional Invariance. It includes all supporting data and reproducible Python scripts used to generate Figures 3, 5, 6, 9, and 10 of the manuscript.
The visualizations capture key simulated behaviors and concepts introduced in REACS-DI, including:
Recursive entropic collapse of filamentary matter (Figure 3);
Molecular lattice analogues of cosmic structure (Figure 5);
Emergent non-random morphology and two-point correlation analysis (Figure 6);
Evolution of entropy fields and collapse behaviour (Figure 9); and
Dimensional recursion and concentric scale invariance (Figure 10).
Each figure is backed by a standalone .py script and README.md file to ensure reproducibility and transparency.
This dataset supports both the Cambridge Open Engage submission and the forthcoming journal publication and is intended to enhance the scientific rigour, reproducibility, and accessibility of the REACS-DI framework.
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