Evolution of Simplicial Universe Evolution of Simplicial Universe Shinichi HORATA and Tetsuyuki YUKAWA Hayama center for Advanced Studies, Sokendai Hayama, Miura, Kanagawa 240-0193, Japan Some of the topics have been already appeared in S.Horata, S.Horata, and T.Yukawa T.Yukawa : Making a Universe.hep-th/0611076. e-mail address: [email protected]KEK-WS 03/14/20 07
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Evolution of Simplicial Universe Shinichi HORATA and Tetsuyuki YUKAWA
KEK-WS 03/14/2007. Evolution of Simplicial Universe Shinichi HORATA and Tetsuyuki YUKAWA Hayama center for Advanced Studies, Sokendai Hayama, Miura, Kanagawa 240-0193, Japan. Some of the topics have been already appeared in S.Horata, and T.Yukawa : Making a Universe.hep-th/0611076. - PowerPoint PPT Presentation
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Evolution of Simplicial UniverseEvolution of Simplicial UniverseShinichi HORATA and Tetsuyuki YUKAWA
Hayama center for Advanced Studies, Sokendai Hayama, Miura, Kanagawa 240-0193, Japan
Some of the topics have been already appeared inS.Horata, S.Horata, and T.Yukawa T.Yukawa : Making a Universe.hep-th/0611076.
Motivated by the Observation of CMB Motivated by the Observation of CMB anisotropies anisotropies WMAP (Wilkinson Microwave Anisotropy Probe) 2003
COBE (Cosmic Background Explorer) 1996 (2006 Nobel Prize)
Temperature fluctuation
)10(/),( 5TT T~2.7KT~2.7K
Fundamental Problems :Fundamental Problems : How has the universe started ? Initial condition How has it evolved ? Cosmological dynamics
What is the space-time of the universe? Direction and expanse How did the physical laws appear ? Physical reality
Creation by rules, without laws
Phenomenological Problem :Phenomenological Problem : Obtain the two point correlation function of temperature fluctuation s in the CMB
Correlation beyond the event horizon
A simplest example of the creation without laws : The Peano axioms (rules) for the natural number 1. Existence of the element ‘1’. 2. Existence of the successor ‘S (a )’ of a natural number ‘a’.
Axioms for creating the universe.Axioms for creating the universe. 1. Existence of the elementelement ‘ ‘d-simplex’d-simplex’.. 2. Existence of the neighborsneighbors of simplicial complex.
For example, creating a 2-dimensional universe 1. The element = an equilateral triangle 2. The neighbor = 2-d triangulated surfaces constructed under the manifold conditions :
ii) Triangles sharing one vertex form a disk (or a semi-disk).
i) Two triangles can attach through one link (face).