N-Body Synthetic Projections in the Universe Using Kaluza-Klein Theory

Srinivasa Rao Gundu¹

1. Dept. of Computer Science, Malla Reddy University, Hyderabad, India.

Section:Research Paper, Product Type: Journal-Paper
Vol.12 , Issue.4 , pp.9-16, Aug-2024

Online published on Aug 31, 2024

Copyright © Srinivasa Rao Gundu . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
There are various concepts related to the representation and simulation of the universe. Euclidean space, described by Euclidean geometry, is the familiar three-dimensional space where distances are measured using the Pythagorean Theorem. Projections, on the other hand, involve representing something in a simplified or flattened way, commonly used in astronomy to depict celestial objects on a two-dimensional surface. N-body simulations are computational techniques used in astrophysics to simulate the gravitational interactions and motions of multiple celestial bodies. These simulations model celestial bodies as point masses and calculate gravitational forces between them using numerical methods like Runge-Kutta. They are vital for studying galaxy formation, star cluster dynamics, planetary interactions, and universe structure. The Sierpinski Tetrahedron, derived from the classical Sierpinski triangle, symbolizes hierarchical divisions of space, capturing the self-similar nature of cosmic structures across different scales. Orthographic projections of the Sierpinski Tetrahedron offer unique perspectives on the structure and evolution of cosmic landscapes. The Kaluza-Klein theory aims to unify gravity and electromagnetism by introducing additional dimensions beyond the familiar four-dimensional space-time. It has applications in various areas of physics, including cosmology, particle physics, and string theory. Kaluza-Klein theory proposes that these extra dimensions are compactified, meaning they are curled up or "rolled up" tightly and not directly observable. The Tower of Hanoi problem is used metaphorically to represent transitions between different "branches" or states of the universe. Each move in the Tower of Hanoi corresponds to a transition between different projections of the universe onto our familiar three-dimensional space, influenced by hidden dimensions. The study demonstrates the connection between the Tower of Hanoi problem, Many-Worlds Interpretation, and Kaluza-Klein theory. It simulates the Tower of Hanoi moves and provides interpretations in terms of MWI and Kaluza-Klein theory. The study provides a comprehensive overview of various theoretical and computational approaches used to understand and simulate the universe, ranging from fractal geometry to advanced theoretical physics concepts like Kaluza-Klein theory.

Key-Words / Index Term :
Euclidean space, Euclidean geometry, Projections, N-body simulations Computational techniques, Astrophysics, Gravitational interactions, Celestial bodies, Universe structure, Sierpinski Tetrahedron, Cosmic landscapes, Kaluza-Klein theory.

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