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the Cosmological Constant Problem Roland TRIAY Centre de Physique Théorique CNRS Université de Provence Int. Journ. Mod. Phys. D 14,10,1667 (2005) Nonlinear Cosmological Workshop - NCP (2006) Nice

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the Cosmological Constant Observations Geometrical Status Modeling Gravitational Structures “Einstein’s biggest blunder” Prelude

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Observations - the 80th In the past : Dynamics of galaxies in clusters Minimum age of the Universe In the 80’s:Hubble diagram (QSOs, BCGs), VLSS (QSOs) (spatially) closed Universe

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Observations - Nowadays Nowadays : CMB temperature fluctuations Hubble diagram (SuperNovæ)

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Observations-SNa A.G. Riess etal astro-ph/0402512

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Observations - Nowadays A.V Filippenko astro-ph/0410609

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Face to the -Problem « The Cosmological Constant From the Viewpoint of String Th. » E. Witten 2000 « The Cosmological Constant Problems » S. Weinberg 2000 « The Cosmological Constant » S. Carrol 2000 « The Case for a Positive Cosmological -term » V. Sahni, A. Starobinsky 2000 « The Cosmological Constant and Dark Energy » P.J.E. Peebles, B. Ratra 2002 « On the Casimir Energy Contribution to the Obs. Value of … » I.O Cherednikov 2002 « The Cosmological Constant Problem » J. W. Moffat 2003 « Cosmological Constant Weight of the Vacuum » T. Padmanabham 2003 …

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Status of - Geometry) The gravitational field and its sources are characterized by Schwarzschild solution - Newton approximation

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Dimensional analysis of EE

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Modeling gravitational structures With : Gravitation becomes repulsive at “large” scale No -effect in Solar neighborhood Small effect in the outerpart of the Galaxy Intervenes at the edge of LSC Homogeneity scale (Modified) Newton law

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The cosmological Constant Problem The contribution of quantum fluctuations A similar problem happens when one assumes Solar neighborhood Primordial epoch ( Vacuum dominate expansion) Another version of the Cosmological Constant Problem

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Understanding the acceleration of the cosmological expansion Rescaling !!! Understanding Quantum Gravity !!!

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