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The Backreaction Conjecture

The Backreaction Conjecture. Thomas Buchert , CRALyon. DENET Paris. October 25 2011. The Standard Model . G  =  T . t. 2. a ( t ) δij. ?. The Standard Model works !. Baryons ~ 5%. Dark Matter ~ 25%. Dark Energy ~70 %. Radiation ~ 0.01%.

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The Backreaction Conjecture

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  1. The Backreaction Conjecture Thomas Buchert, CRALyon DENET Paris October 25 2011

  2. The Standard Model G= T t 2 a(t) δij ?

  3. The Standard Model works ! Baryons ~ 5% Dark Matter ~ 25% Dark Energy ~70 % Radiation ~ 0.01%

  4. The Standard Model does not work ! Baryons ~ 4% fundamental scalar field / new particles ? Dark Matter ~ 23% other laws of gravitation ? effect of structure ? Dark Energy ~73 % Radiation ~ 0.01% backreaction conjecture

  5. Acceleration in the Standard Model localacceleration ⅓ a(t) =V (t) global acceleration apparentacceleration t 2 a(t) δij Λ

  6. Volume Partitioning

  7. Volume Partitioning D M

  8. Volume Partitioning E D M υ = D M

  9. Acceleration in the Multiscale Model Q D

  10. Acceleration in the Multiscale Model

  11. Generalizing the Standard Model • homogeneous-isotropicsolution of GR • reference to fundamental observers • global background, influencesstructureformation • constant-curvaturegeometry of spacefixed spatialaverages of general GR equations free-fallingobservers in thegeneralspacetime background = average, influences and isinfluencedbystructureformation Riemanniangeometry = dynamicaldegree of freedom

  12. Kinematics • AccelerationLaw : • Expansion Law : • ConservationLaw : • Integrability :

  13. Effective Friedmann Equations : • EffectiveScalarField ( `Morphon´) : Buchert, Larena, Alimi arXiv: gr-qc / 0606020

  14. G=  T m+  Pm+ P = m+  Pm+ P =

  15. Conclusions • structureformationchangesthegeometry of • thebackground • Dark Energy and Dark Matter exist in terms of • “curvatureenergies“ • qualitative understanding of themechanism • iscompleted and itworks in the right direction • quantitative understanding in terms of • non-perturbativemodelsis in itsinfancy • reinterpretation of observations !

  16. Observational Strategies C Template Metrics log(1+z) Larena, Alimi, Buchert, Kunz, CorasanitiarXiv: 0808.1161 Euclid

  17. Further Reading : arXiv: 0707.2153 1103.2016

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