Estimation of Universe Size via Cauchy Residue Theorem Analogy and Modified Friedmann Equations with Dark Matter and Dark Energy
DOI:
https://doi.org/10.31224/4854Keywords:
Cauchy Residue Theorem, Modified Friedmann Equations, Dark Energy, Dark Matter, Hubble Radius, Relativistic Gravitational Constant, Complex Manifolds in Cosmology, Analytic Continuation, Cosmological Boundary Conditions, Mathematical Cosmology, Spacetime Topology, General Relativity Extensions, Large-Scale Universe Estimation, Complexified Friedmann Dynamics, Cosmological Constant DerivationAbstract
This paper presents a novel cosmological model that applies the Cauchy residue theorem analogy through Gauss's divergence theorem to estimate the size of the observable universe. By treating supermassive black holes as gravitational residues at the cosmic center and incorporating dark matter distributions and dark energy effects within modified Friedmann equations, we derive a universe radius of 41.9 billion light-years. This result shows remarkable agreement (within 9.5%) with the ΛCDM-based observable universe radius of 46.3 billion light-years, demonstrating the viability of complex analysis techniques in cosmological scale calculations.
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Copyright (c) 2025 Sudhakar Geruganti
This work is licensed under a Creative Commons Attribution 4.0 International License.
