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Observed Features of the Universe. • Universe is homogeneous and isotropic on lengths > 100 Mpc. • Universe expanding uniformly. • thermal background of radiation with T~3K. • chemical composition is roughly 75% H, 25% He, + trace.
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Observed Features of the Universe • Universe is homogeneous and isotropic on lengths > 100 Mpc • Universe expanding uniformly • thermal background of radiation with T~3K • chemical composition is roughly 75% H, 25% He, + trace • ordinary matter is more abundant than ordinary antimatter • nearly scale invariant spectrum of CMB fluctuations • hierarchy of structure from 1 kpc to 1 Mpc scales • universe is spatially flat • ordinary matter is a minority (1/6x) of all matter • matter is a minority (1/4x) of all energy • expansion rate accelerating
Observed Features of the Universe • Universe is homogeneous and isotropic on lengths > 100 Mpc • Universe expanding uniformly • thermal background of radiation with T~3K • chemical composition is roughly 75% H, 25% He, + trace • ordinary matter is more abundant than ordinary antimatter • nearly scale invariant spectrum of CMB fluctuations • hierarchy of structure from 1 kpc to 1 Mpc scales • universe is spatially flat • ordinary matter is a minority (1/6x) of all matter • matter is a minority (1/4x) of all energy • expansion rate accelerating
Why is the Universe homogeneous and isotropic? Robs (t0) = radius of observable universe today ~ 1/H0 ~ t0 Robs (t) = size of same patch at time t
Why is the Universe homogeneous and isotropic? Robs (t0) = radius of observable universe today ~ 1/H0 ~ t0 Robs (t) = size of same patch at time t
>> 1 universe decelerating Why is the Universe homogeneous and isotropic? Robs (t0) = radius of observable universe today ~ 1/H0 ~ t0 Robs (t) = size of same patch at time t HORIZON PROBLEM
>> 1 universe decelerating Why is the Universe so FLAT? Recall: FLATNESS PROBLEM
Why so few monopoles? if monopoles are stable: MONOPOLE PROBLEM
t HORIZON PROBLEM FLATNESS PROBLEM MONOPOLE PROBLEM
HORIZON PROBLEM FLATNESS PROBLEM MONOPOLE PROBLEM t accelerated expansion
INFLATION inflation = finite period of accelerated expansion
w < -1/3 means KE < V/2 Planck units
INFLATIONARY MENU ENTRANCE EXIT INFLATION phase transition “chaos” stochastic “tunneling from nothing” defect driven Slow roll flat potentials power-law potentials two or more fields tensor (R + a R2 +…) fermi condensate KE driven oscillation extended scalar field decay bubble nucleation de Sitter fluct’s
Density Perturbations H nearly constant
Density Perturbations inflation ends, H-1 grows
for scalar field, B and E = 0 Newtonian gauge: F = Y
large x oscillating nearly scale invariant ! small x growing
large x oscillating small x growing
More generally … need this to be small w ~ -1: INFLATION w >> 1: EKPYROTIC/CYCLIC
AMPLITUDE Strategies 1) Evolve u -equation 2) famous trick 3) heuristic:
The Cyclic Universe w/Neil Turok with many important contributions from: Justin Khoury (Princeton), Burt Ovrut (Penn) and Nathan Seiberg (IAS)
Consensus (big bang + inflation) big bang
Consensus (big bang + inflation) big bang inflation
Consensus (big bang + inflation) Cyclic PJS & Neil Turok “bang” big bang inflation radiation radiation matter matter dark energy dark energy ?? ???
Consensus (big bang + inflation) Cyclic PJS & Neil Turok V Y “bang” big bang inflation radiation radiation matter matter dark energy dark energy ?? ???
Consensus (big bang + inflation) Cyclic PJS & Neil Turok “bang” big bang inflation radiation radiation matter matter dark energy V dark energy ?? ??? Y
Consensus (big bang + inflation) Cyclic PJS & Neil Turok “bang” big bang inflation radiation radiation matter matter dark energy V dark energy ?? ??? Y
Consensus (big bang + inflation) Cyclic PJS & Neil Turok V Y “bang” big bang inflation radiation radiation matter matter dark energy dark energy ?? ???
Consensus (big bang + inflation) Cyclic PJS & Neil Turok “bang” big bang inflation radiation radiation matter matter dark energy V dark energy ?? “contraction” ??? Y
Consensus (big bang + inflation) Cyclic PJS & Neil Turok the “bounce” “bang” big bang inflation radiation radiation matter matter dark energy dark energy ?? “contraction” ??? “crunch”
Consensus (big bang + inflation) Cyclic PJS & Neil Turok the “bounce” “bang” big bang inflation radiation radiation matter matter dark energy “contraction” dark energy ?? “crunch” ??? Reproduces successful predictions
Consensus (big bang + inflation) Cyclic PJS & Neil Turok the “bounce” “bang” big bang inflation radiation radiation matter matter dark energy “contraction” dark energy ?? “crunch” ??? Fewer ingredients: no need for inflation
Consensus (big bang + inflation) Cyclic PJS & Neil Turok the “bounce” “bang” big bang inflation radiation radiation matter matter dark energy “contraction” dark energy ?? “crunch” ??? Dark energy given a purpose
Consensus (big bang + inflation) Cyclic PJS & Neil Turok the “bounce” “bang” big bang inflation radiation radiation matter matter dark energy “contraction” dark energy ?? “crunch” ??? Avoids infinities?
Consensus (big bang + inflation) Cyclic PJS & Neil Turok the “bounce” “bang” big bang inflation radiation radiation matter matter dark energy “contraction” dark energy ?? “crunch” ??? More complete theory of cosmic history
The Cyclic Universe “branes” V Y Y Field-theory M-theory
The Cyclic Universe THE BOUNCE V Y