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Exploring the shape of the universe, this monograph addresses how to measure distances in physical space, proposing that space is Euclidean for distances around 10 AU. It offers a mathematical proof confirming the flatness of space at small cosmic scales. The work extends Newtonian gravitation through the cotangent potential, originally suggested by Ernest Schering, and examines the dynamics of N point masses in non-zero constant curvature spaces. This research connects classical dynamics, non-Euclidean geometry, geometric topology, Lie groups, and polytopes.
Nákup knihy
Relative Equilibria of the Curved N-Body Problem, Florin Diacu
- Jazyk
- Rok vydania
- 2014
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- Titul
- Relative Equilibria of the Curved N-Body Problem
- Jazyk
- anglicky
- Autori
- Florin Diacu
- Vydavateľ
- Atlantis Press
- Rok vydania
- 2014
- Väzba
- mäkká
- Počet strán
- 160
- ISBN13
- 9789462390386
- Kategórie
- Matematika
- Anotácia
- Exploring the shape of the universe, this monograph addresses how to measure distances in physical space, proposing that space is Euclidean for distances around 10 AU. It offers a mathematical proof confirming the flatness of space at small cosmic scales. The work extends Newtonian gravitation through the cotangent potential, originally suggested by Ernest Schering, and examines the dynamics of N point masses in non-zero constant curvature spaces. This research connects classical dynamics, non-Euclidean geometry, geometric topology, Lie groups, and polytopes.