Mathematical Structure of The Central-Meta Nucleus (CMN) Framework: A Unified Theory of Stability, Cosmology & Gravity.

Description
This work presents the Central Meta-Nucleus (CMN) Framework, a novel theoretical model aimed at establishing a unified and non-singular description of finite spacetime. Unlike conventional approaches rooted in singularity-based formulations, the CMN framework introduces a fundamental stability principle defined by a maximum density bound, p ≤P(CMN), which prevents the emergence of physical infinities.
Within this formulation, gravity is reinterpreted as a nonlinear stabilizing mechanism rather than a purely attractive force leading to collapse. The framework modifies classical gravitational dynamics by incorporating intrinsic stability constraints, resulting in a finite and self-regulating spacetime structure.
The CMN model provides a consistent explanation for several unresolved problems in modern physics, including the avoidance of singularities in black holes, the emergence of a cosmological bounce instead of an initial singularity, and the preservation of information through bounded physical evolution.
Furthermore, it establishes a conceptual bridge between general relativity and quantum stability by introducing natural limits on energy density and curvature.
By integrating principles from cosmology, gravitational theory, and nonlinear dynamics, the CMN framework offers a coherent and mathematically structured pathway toward a unified theory of stability, cosmology, and gravity. This work aims to contribute to the ongoing search for a consistent and physically realistic description of the universe.