Approximative Relationship Between The Energy Function (E) and Hubble Function (H) in Cosmology: Practical and Theoretical Analysis
(1) Departement of Industrial Engineering, Bina Nusantara University, Indonesia
(2) Department of Physics, Sam Ratulangi University, Indonesia
(3) Departement of Industrial Engineering, Bina Nusantara University, Indonesia
(4) Departement of Industrial Engineering, Bina Nusantara University, Indonesia
(5) Departement of Industrial Engineering, Bina Nusantara University, Indonesia
(6) CADCAM TECH Research Group, Fakulti Reka Bentuk Inovatif dan Teknologi, Universiti Sultan Zainal Abidin, Malaysia
(7) Department of Physics, Universitas Negeri Medan, Indonesia
Abstract
This research delves into the approximate relationship between the energy function (E) and the Hubble function (H) within cosmological. Utilizing the Friedmann equation, it establishes a link between the universe's scale factor and the Hubble function. Through Taylor series approximation, the study derives an approximation of the energy function, under specific assumptions and approximations. Asymptotic analysis investigates the behavior of variables y and s, shedding light on function limits and behaviors. The study incorporates an interactive 3D scatter plot visualization to elucidate the relationship between cosmological parameters and physical systems, aiding in a comprehensive understanding of dynamics. Practical recommendations emphasize increasing data points for accuracy and validating with observational data, while theoretical suggestions advocate exploring higher-order terms and considering additional physical factors.
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