Ru Keng Su

Dirac Cosmology and the Acceleration of Contemporary Universe: 

Dirac Cosmology and the Acceleration of Contemporary Universe Ru-Keng Su Fudan University, Shanghai,China

Slide2: 

Introduction Unified Theory of G.R. and Dirac Cosmology Numerical Solution with Matter and Radiation Summary and Discussion

Introduction(1): 

Introduction(1) Large number hypothesis The large dimensionless numbers provided by atomic physics and astronomy of our universe connect with each other the ratio of the electric to the gravitational force between an electron and proton the age of the universe expressed in the atomic unit

Introduction(2): 

Introduction(2) The mass of that part of the universe that is receding from with a velocity vandlt;c/2, expressed in the unit of proton mass Varying gravitational constant Increase in the amount of matter in the universe

Introduction(3): 

Introduction(3) (B) Difficulties How to explain the contradiction between G.R. and Dirac cosmology Milne two time scale hypothesis Weyl’s geometry… All experiments at the scales of solar system and galaxies have not found the variation of G

Introduction(4): 

Introduction(4) The conservation of energy and momentum (in local system) Dirac suggested: Addition creation: the new matter creates uniformly in whole space (Dark Energy?) Multiplication creation: the new matter creates in the regions where the old matter exists (Dark Matter?)

Introduction(5): 

Introduction(5) Can we establish a possible unified theory of Dirac cosmology and G.R.? R.K. Su, S.W. Zhang, Proc of the 3rd Grassmann Meeting on G.R. P.1381 (1983); Acta. Math. Sci. 3 (1983) 321; Kexue Tongbao (Sci. Bullium of China) 27 (1982) 944.

Introduction(6): 

Introduction(6) Basic idea: Though one would expect a constant value of G at the local system, it must be stressed that the cosmological observations still cannot put strong limits on the time variation of G in the cosmological scale Though Einstein G.R. has been proved to be correct by many experiments at the scales of local systems, it probably needs to be modified in the cosmological scale.

Introduction(7): 

Introduction(7) Local sys tem, , R , 0 Cosmological scale, matter dominate area , 1/2

Introduction: 

Introduction Local system , Cosmological scale Dirac Cosmology

Unified Theory of G.R. and Dirac Cosmology (1): 

Unified Theory of G.R. and Dirac Cosmology (1) Constant curvature vacuum solution

Unified Theory of G.R. and Dirac Cosmology (2): 

Unified Theory of G.R. and Dirac Cosmology (2) : varying gravitational constant : creation of energy momentum

Unified Theory of G.R. and Dirac Cosmology (3): 

Unified Theory of G.R. and Dirac Cosmology (3) : multiplication creation Dark matter : addition creation Dark energy

Unified Theory of G.R. and Dirac Cosmology (4): 

Unified Theory of G.R. and Dirac Cosmology (4) In the flat R-W metric , baryon radiation where

Unified Theory of G.R. and Dirac Cosmology (5): 

Unified Theory of G.R. and Dirac Cosmology (5)

Unified Theory of G.R. and Dirac Cosmology (6): 

Unified Theory of G.R. and Dirac Cosmology (6)

Numerical Solution(1): 

Numerical Solution(1) By using the present cosmological parameters as the initial conditions. baryon to matter baryon to photon

Numerical Solution(2): 

Numerical Solution(2)

Numerical Solution(3): 

Numerical Solution(3)

Numerical Solution(4): 

Numerical Solution(4)

Numerical Solution(5): 

Numerical Solution(5)

Numerical Solution(6): 

Numerical Solution(6)

Numerical Solution(7): 

Numerical Solution(7) ;

Numerical Solution(8): 

Numerical Solution(8)

Summary and discussion: 

Summary and discussion We suggest a model to unify G.R. and Dirac cosmology. local system G.R. cosmological scale Dirac cosmology Supernova data adjust parameter addition creation Dark energy 0.8 multiplication creation Dark matter 0.2 negative pressure region Cannot be extended to the big bang epoch inflation epoch Accelerating Universe

Thank you: 

Thank you