Zero-Infinity Dimensional Recursion (ZIDR): A Conceptual and Mathematical Framework for a Static Universe

Description: Zero-Infinity Dimensional Recursion (ZIDR) introduces a conceptual and preliminary mathematical framework for describing the universe as a static, non-expanding system based on recursive dimensional structure. Within this approach, the cosmos is modeled as an infinite-dimensional manifold converging toward a zero-dimensional (0D) origin, where higher-dimensional layers emerge through recursive accumulation of lower-dimensional components. Core Concepts: The universe is represented as a recursive, infinite-dimensional manifold with a 0D limiting origin Higher-dimensional structure emerges through iterative accumulation of lower-dimensional layers “Infinity” is treated as a limiting geometric process rather than an independent physical quantity Geometric Interpretations of Physical Phenomena: Gravity: modeled as an emergent effect of dimensional compression toward the 0D origin Cosmological Redshift: explored as a consequence of photon propagation across gradients in effective dimensional density Black Holes: described as recursive dimensional transition regions where structural compression occurs while preserving information Cosmological Context and Exploratory Interpretations: Large-scale structure formation examined as a possible outcome of recursive geometric layering Gravitational behavior across scales interpreted through dimensional projection effects Phenomena commonly associated with dark matter and dark energy considered as potential geometric manifestations rather than independent components Redshift–distance relationships explored in the context of dimensional traversal rather than solely metric expansion Observational Relevance: The framework explores potential connections with high-redshift galaxy and black hole observations, including findings from the James Webb Space Telescope These comparisons are qualitative and intended to motivate further quantitative investigation Development Status: This work represents a structured conceptual and early-stage mathematical formulation Core relationships, operators, and heuristic models are introduced Rigorous derivations, numerical simulations, and empirical validation remain ongoing areas of development