Emergent Gravity

1
Emergent Gravity?

• Jack Sarfatti
• http//xxx.lanl.gov/abs/gr-qc/0602022

2
Predictions

• LHC will not find supersymmetry partners that
  will account for Omega DM 0.23
• No local DM detectors will ever click with the
  Right Stuff
• Looking for Dark Matter particles whizzing
  through space is like looking for Earths motion
  through the Galilean aether.

3
What is Dark Matter?

• Dark matter is an exotic phase of quantum vacuum
  w lt -1/3 with negative vacuum energy and positive
  pressure on scales smaller than cosmological,
  e.g. 102 pc.
• Dark matter mimics w 0 CDM.
• Dark energy is also w lt -1/3 with positive vacuum
  energy and negative pressure on larger scales.

4
Physical Analogy

• v (h/m)d(theta)
• v superfluid velocity
• v closed inexact 3D 1-form
• theta 0-form generic Goldstone phase
• G(incoherent)/H(coherent) S1
• Circulation is quantized around vortices

5
Toy Model

• ea 1a la 4 tetrad 1-forms
• la curvature 1-form tetrad
• la 0 in S-T region is globally flat
• la is gauge potential from localizing T4
• Planck inflation has 8 Goldstone phases? SBS
• la (dthetaa)(phia) - thetaa(dphia)

6
Einsteins 1915 GR

• ds2 (1a la)(Minkowski)ab(1b lb)
• D d Wab/\
• Dea dea Wab/\eb 0
• Rab DWab Rabuvdxu/\dxv
• DRab 0 Bianchi identity
• Rab/\ec (Lambda)ea/\eb/\ec 0

7

• Degenerate case of phase lock
• thetaa theta phia phi
• G/H -gt S2
• dla -gt 2(dtheta)/\(dphi) / 0
• la is not closed, but dla is closed but not
  exact if point defects in the vanishing Higgs
  vacuum order parameter where Goldstone phases
  are undefined.

8

• Surface integral of dla around point defect is
  quantized. This resembles Bekenstein-Hawking
  quantization of area as the S2 2D analog to S1 1D
  quantization of circulation.
• Since d2la 0 locally like B 0 locally in
  Bohm-Aharonov effect of magnetic field without
  magnetic field, we seem to have a holographic
  volume without volume number of area quanta.

9
8 Goldstone Phases

• We expect 6 area 2-forms in 4D S-T not 1
• dAab (dtheta)/\(dphi)a,b
• (dtheta)a/\(dphi)b- (dtheta)b/\(dphi)a
• dAaa 0
• dAab dAabuvdxu/\dxv

10

• dA dAabab
• Integral of dA around closed 2D surfaces
  enclosing point defects in 3D space-like
  hypersurfaces quantized?
• This is non-rigorous so far trying to get to
  world hologram volume without volume as a 2D
  Bohm-Aharonov effect where all geometrodynamic
  information is on surrounding surfaces of volumes
  with defects in the vacuum coherence.