Zero-Infinity Dimensional Recursion (ZIDR): A Conceptual Framework for a Static, Non-Expanding Universe

Zero-Infinity Dimensional Recursion (ZIDR): Conceptual Framework and Cosmological Implications This paper introduces the Zero-Infinity Dimensional Recursion (ZIDR) model as a proposed alternative framework to standard Big Bang cosmology. Rather than describing the universe as originating from a singular event followed by expansion, ZIDR suggests that physical reality may emerge from a recursive dimensional structure that converges toward a zero-dimensional (0D) origin. Drawing inspiration from aerospace and mechanical engineering, where system-level behavior arises from the interaction of multiple degrees of freedom, ZIDR interprets higher-dimensional structures as recursive accumulations of lower-dimensional components. Within this framework, “infinity” is not treated as an unbounded quantity, but as a limiting process that approaches a 0D state. The 0D origin is understood not as a physical singularity, but as a limiting reference point of minimal dimensional extent and maximal structural convergence. Gravity is reinterpreted as the tendency of higher-dimensional structures to compress toward this origin. The apparent expansion of the universe is not attributed to the growth of spacetime itself, but instead may arise from the propagation of light through regions of varying dimensional density within a fundamentally static manifold. In this picture, redshift can be expressed heuristically as: z ∝ Δρ_D where ρ_D is the effective dimensional density along the photon path. Black holes are understood as natural dimensional transition regions “gates” in which matter undergoes structured dimensional reduction while preserving information. The present work introduces heuristic mathematical expressions to illustrate the recursive structure underlying ZIDR. A complete formalization, including a full Lagrangian treatment and predictive framework, is deferred to future work. This paper therefore serves as a conceptual foundation for exploring the mathematical consistency and physical implications of recursive dimensional cosmology. Major Cosmological Questions and ZIDR Perspectives The ZIDR framework offers alternative interpretations of several unresolved problems in modern cosmology. The following comparisons outline how key questions may be re-examined under a recursive dimensional paradigm. Cosmic Expansion Standard View:The universe has been expanding since the Big Bang, with its current acceleration attributed to dark energy. ZIDR Perspective:There may be no physical expansion of spacetime. Observed redshift could arise from light traversing a recursive dimensional structure with varying density. Implication:Cosmological redshift may reflect properties of dimensional traversal rather than metric expansion. Dark Energy Standard View:Dark energy is a hypothetical component driving the accelerated expansion of the universe. ZIDR Perspective:Apparent acceleration may emerge from how light and gravitational fields behave within a recursive dimensional structure. Implication:Dark energy could represent an observational effect of underlying geometry rather than a fundamental component. Dark Matter Standard View:Dark matter is an unseen form of matter inferred from gravitational effects on visible structures. ZIDR Perspective:Gravitational anomalies may arise from interactions across higher-dimensional layers within the recursive structure. Implication:Effects attributed to dark matter may instead reflect geometric properties of dimensional recursion. Weakness of Gravity Standard View:Gravity is the weakest fundamental force, with no complete explanation for its relative weakness. ZIDR Perspective:Gravity may be a projected effect of higher-dimensional compression into observable space. Implication:Its apparent weakness could result from dilution across dimensional layers rather than intrinsic force strength. Large-Scale Structure Standard View:The cosmic web forms through gravitational amplification of early density fluctuations. ZIDR Perspective:Structure may emerge naturally from recursive, fractal-like dimensional layering. Implication:Filaments and voids could reflect geometric recursion rather than purely dynamical evolution. Redshift–Distance Relation Standard View:Hubble’s law links redshift to distance through expansion. ZIDR Perspective:Redshift may reflect traversal through varying dimensional densities. Implication:Distance–redshift relationships could encode properties of dimensional structure rather than expansion history. Black Holes and Information Standard View:Black holes involve singularities, Hawking radiation, and unresolved information paradoxes. ZIDR Perspective:Black holes may be dimensional transition regions where matter undergoes stepwise reduction toward the 0D origin while preserving information. Implication:This framework could remove singularities and resolve the information paradox. Early Galaxies and JWST Observations Standard View:Observations of massive early galaxies and black holes challenge formation timelines but remain within the ΛCDM framework. ZIDR Perspective:Structure formation may not be constrained by a single cosmic timeline. Recursive dimensional layering could allow complex structures to emerge across different depths. Implication:“Early” structure may be reinterpreted as a projection effect rather than rapid formation in a young universe. Quantum Entanglement Standard View:Entangled particles exhibit correlations that appear non-local. ZIDR Perspective:Particles may share a common 0D coordinate within the recursive structure, making apparent non-locality a projection effect. Implication:Entanglement could reflect underlying geometric unity rather than faster-than-light interaction. Big Picture If validated, the ZIDR framework would represent a significant shift in the interpretation of physical reality: The Big Bang and cosmic expansion may not be required as foundational explanations Dark matter and dark energy could be replaced by geometric effects of recursion Gravity may emerge as a dimensional projection rather than a fundamental force Large-scale structure could arise from recursive geometry Redshift may reflect dimensional traversal rather than expansion Quantum entanglement could be explained through shared origin structure Black holes may preserve information through dimensional transitions Observational tensions (e.g., JWST results) could be naturally accommodated The universe may be static, eternal, and structurally self-consistent In this view, physical laws are not fundamental, but emergent properties of an underlying recursive dimensional architecture. ZIDR does not merely modify standard cosmology; it proposes a reinterpretation of space, time, matter, and information within a geometric and recursive framework. Its ultimate viability, however, depends on the development of a rigorous mathematical formulation and its ability to produce testable predictions consistent with observation.