Dark Energy as a Topological Response to Information Saturation: An Information-Entropic Framework for Cosmological Evolution

This paper introduces an information-topological framework for interpreting dark energy as an emergent, dynamic property resulting from entropy flow stagnation within the topological structure of three-dimensional spacetime. Departing fundamentally from conventional cosmological constant and scalar-field models, we propose that cosmological expansion, dark matter effects, and the Big Bang itself are manifestations of a triadic sequence of topological phase transitions driven by entropy capacity constraints. By integrating concepts from topology, information theory, and statistical thermodynamics, the proposed theory redefines cosmic dynamics as an ongoing negotiation between information connectivity and spatial configuration capacity. We provide a comprehensive theoretical comparison with existing dark energy frameworks, highlighting key conceptual and predictive advantages, such as inherentresolution of the fine-tuning problem, Hubble tension, and absence of clustering phenomena. Additionally, we outline explicit falsifiability conditions through predicteddeviations in the dark energy equation of state parameter w(z) and spatial variations in local Hubble rates correlated with entropy structures. Recent observational results from DESI and Planck reveal anomalies in cosmic acceleration and gravitational lensing within the redshift range z ≈ 0.5–0.7, consistentwith the predicted features of the proposed Entropic Freeze Interval. To substantiate the framework’s theoretical robustness and empirical viability, we include a formalmathematical description of topological transitions, a numerical toy model illustrating entropy-driven dynamics, and an in-depth philosophical discussion of its implicationsfor the nature of spacetime, time emergence, and cosmic evolution. If validated by future observational data, this information-topological cosmology could represent aparadigm shift towards viewing the universe not as a static backdrop, but as an evolving informational-geometric manifold.