the flg model faced to anthropic...

TheFLGmodelfacedtoanthropicissues

RolandTRIAYCentredePhysiqueThéorique

Aix‐MarseilleUniversité

Hot Topics in General Relativity and GravitationJuly 28th — August 3rd, 2013 • Quy Nhon, Vietnam

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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Outline

• Friedmann-Lemaître-Gamov (FLG) Model

• The Cosmological Constant (Problems)

• Dynamical phases of FLG Model

• The Coincidence Problem

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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FLG ModelJean-Marie Souriau (1922-2012)

• (1944)1957‐65:(General)Relativity(andGravitation)– “Géométrieetrelativité”,Herman,Paris1964

• 1965‐78:GR(principles),Thermodynamics– “Définitioncovariantedeséquilibrethermodynamiques”NuovoCimento1(1966),no.4,203-216.

– "MécaniqueStatistique,GroupedeLieetCosmologie",Coll.InternationauxduCNRSN°ｰ237Géométririesymplectiqueetphysiquemathématique(1974)

– “Faut­ilprendreausérieuxlaconstantecosmologique?”JournéesRelativistes(Bruxelles,April1976),pp.215­229.Publ.Univ.LibredeBruxelles,1976.

– Fliche&Souriau(79),Fliche,,Souriau,Triay(81),…

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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FLG ModelCosmicMicrowaveBackground(CMB)

TheNobelPrizeinPhysics

1978 A. Penzias and R. Wilson (1965)2006 J.C. Mather, G.F. Smoot (1989)2011: S. Perlmutter, B.P. Schmidt and A.G. Riess"for the discovery of the accelerating expansionof the Universe through observations of distant SN”

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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FLG ModelGeometryofthetemperature(Planck)vector

"MécaniqueStatistique,GroupedeLieetCosmologie"

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FLG Model

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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FLG Model

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FLG ModelItdescribestheCosmologicalexpansion

fromthedecouplingeratillnow,andinthefuture(…)

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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The Cosmological Constant

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The Cosmological Constant

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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The Cosmological Constant

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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The Cosmological Constant

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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The Cosmological Constant

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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The Cosmological Constant

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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The Cosmological Constant

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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The Cosmological Constant

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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Dynamical phases of FLG Model

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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Dynamical phases of FLG Model

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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Dynamical phases of FLG Model

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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Dynamical phases of FLG Model

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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Dynamical phases of FLG Model

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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The Coincidence Problem

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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The Coincidence Problem

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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The Coincidence Problem

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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The Coincidence Problem

HTGRG • July 28th — August 3rd,2013 • Quy Nhon Vietnam

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Conclusion

AccordingtoFLGmodel,thedatasuggestthattodayisnotanexceptionaldateinthecosmological

evolutionoftheuniverse,withrespecttoanytransitionepochchosen.

Thank you