PARTIAL [L(/)i] DIVIDED TO NEARLY ZERO RENORMALIZATION CONCEPT IN APPLYING TO THE ASTROPHYSICS

Renormalization is a fundamental concept in quantum field theory used to systematically remove infinities that arise in the calculation of physical quantities, thereby enabling the derivation of finite quantities that can be derived physically meaningful results from initially divergent expressions. However, applying renormalization techniques to cosmological models, particularly those describing an infinite or unbounded universe, will presents significant conceptual and mathematical challenges.This research paper proposes a novel approach involving a multidimensional partitioning of the universe into discrete hierarchical layers, utilizing tensor calculus and differential geometry to manage the complexity of the spacetime manifold. By employing covariant derivatives within this layered framework, the model aims to reconcile the assumption of an expanding universeconsistent with solutions to Einstein’s field equations in General Relativityand achieve a form of successful renormalization. This process seeks to stabilize quantum fields embedded in a dynamic, expanding spacetime context.Furthermore, this research study introduces a segmentation of the universe along designated directions of scalar energy flux, including axial orientations corresponding to a hypothetical super-pole magnetic system. This super-pole system is hypothesized to act as an anchoring mechanism that maintains the structural integrity of the universe during cosmological expansion. The layered division, combined with directional derivatives aligned with energy flux vectors such as north, east, south, and west poles, provides a practical framework for applying renormalization procedures within a curved, expanding spacetime manifold.By integrating these multi-layered spatial divisions with tensorial derivatives, we aim to develop a divided first- and renormalization scheme compatible with the cosmological expansion paradigm, ultimately contributing to the formulation of a more stable quantum field theory that can be embedded within a stationary or quasi-stationary gravitational field. This approach could potentially bridge quantum field theory and cosmological models, advancing our understanding of the underlying structure of the universe.